{"id":"https://openalex.org/W3203231981","doi":"https://doi.org/10.1103/physrevlett.127.147401","title":"Experimentally Detecting Quantized Zak Phases without Chiral Symmetry in Photonic Lattices","display_name":"Experimentally Detecting Quantized Zak Phases without Chiral Symmetry in Photonic Lattices","publication_year":2021,"publication_date":"2021-09-27","ids":{"openalex":"https://openalex.org/W3203231981","doi":"https://doi.org/10.1103/physrevlett.127.147401","mag":"3203231981","pmid":"https://pubmed.ncbi.nlm.nih.gov/34652196"},"language":"en","primary_location":{"id":"doi:10.1103/physrevlett.127.147401","doi":"https://doi.org/10.1103/physrevlett.127.147401","is_oa":true,"landing_page_url":"https://doi.org/10.1103/physrevlett.127.147401","pdf_url":"http://link.aps.org/pdf/10.1103/PhysRevLett.127.147401","source":{"id":"https://openalex.org/S24807848","display_name":"Physical Review Letters","issn_l":"0031-9007","issn":["0031-9007","1079-7114","1092-0145"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-a","jufo-3","ki-jl-2","medline","norway-2","poland-200","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review Letters","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite","pubmed"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"http://link.aps.org/pdf/10.1103/PhysRevLett.127.147401","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5051699114","display_name":"Zhi\u2010Qiang Jiao","orcid":"https://orcid.org/0000-0002-9292-9698","observed_orcids":["https://orcid.org/0000-0002-9292-9698"]},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]},{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]},{"id":"https://openalex.org/I4392021209","display_name":"State Key Laboratory of Advanced Optical Communication Systems and Networks","ror":"https://ror.org/03dz8mb53","country_code":"CN","type":"facility","lineage":["https://openalex.org/I183067930","https://openalex.org/I20231570","https://openalex.org/I4210155232","https://openalex.org/I4392021209"]},{"id":"https://openalex.org/I4392021226","display_name":"State Key Laboratory of Advanced Optical Communication Systems and Networks","ror":"https://ror.org/02a9key75","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4392021226"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhi-Qiang Jiao","raw_affiliation_strings":["CAS Center for Excellence and Synergetic Innovation Center in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, Anhui 230026, China","Center for Integrated Quantum Information Technologies (IQIT), School of Physics and Astronomy and State Key Laboratory of Advanced Optical Communication Systems and Networks, Shanghai Jiao Tong University, Shanghai 200240, China"],"raw_orcid":"https://orcid.org/0000-0002-9292-9698","affiliations":[{"raw_affiliation_string":"CAS Center for Excellence and Synergetic Innovation Center in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, Anhui 230026, China","institution_ids":["https://openalex.org/I126520041"]},{"raw_affiliation_string":"Center for Integrated Quantum Information Technologies (IQIT), School of Physics and Astronomy and State Key Laboratory of Advanced Optical Communication Systems and Networks, Shanghai Jiao Tong University, Shanghai 200240, China","institution_ids":["https://openalex.org/I183067930","https://openalex.org/I4392021209","https://openalex.org/I4392021226"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001137611","display_name":"Stefano Longhi","orcid":"https://orcid.org/0000-0002-8739-3542","observed_orcids":["https://orcid.org/0000-0002-8739-3542"]},"institutions":[{"id":"https://openalex.org/I134820265","display_name":"Consejo Superior de Investigaciones Cient\u00edficas","ror":"https://ror.org/02gfc7t72","country_code":"ES","type":"government","lineage":["https://openalex.org/I134820265"]},{"id":"https://openalex.org/I4210095952","display_name":"Institute for Cross-Disciplinary Physics and Complex Systems","ror":"https://ror.org/00pfxsh56","country_code":"ES","type":"facility","lineage":["https://openalex.org/I134820265","https://openalex.org/I4210095952","https://openalex.org/I50441567"]},{"id":"https://openalex.org/I93860229","display_name":"Politecnico di Milano","ror":"https://ror.org/01nffqt88","country_code":"IT","type":"education","lineage":["https://openalex.org/I93860229"]}],"countries":["ES","IT"],"is_corresponding":false,"raw_author_name":"Stefano Longhi","raw_affiliation_strings":["Dipartimento di Fisica, Politecnico di Milano, Piazza L. da Vinci 32, I-20133 Milano, Italy","IFISC (UIB-CSIC), Instituto de Fisica Interdisciplinar y Sistemas Complejos, E-07122 Palma de Mallorca, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Fisica, Politecnico di Milano, Piazza L. da Vinci 32, I-20133 Milano, Italy","institution_ids":["https://openalex.org/I93860229"]},{"raw_affiliation_string":"IFISC (UIB-CSIC), Instituto de Fisica Interdisciplinar y Sistemas Complejos, E-07122 Palma de Mallorca, Spain","institution_ids":["https://openalex.org/I134820265","https://openalex.org/I4210095952"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100460482","display_name":"Xiao\u2010Wei Wang","orcid":"https://orcid.org/0000-0001-7934-7805","observed_orcids":["https://orcid.org/0000-0001-7934-7805","https://orcid.org/0009-0005-4333-2157"]},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]},{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]},{"id":"https://openalex.org/I4392021209","display_name":"State Key Laboratory of Advanced Optical Communication Systems and Networks","ror":"https://ror.org/03dz8mb53","country_code":"CN","type":"facility","lineage":["https://openalex.org/I183067930","https://openalex.org/I20231570","https://openalex.org/I4210155232","https://openalex.org/I4392021209"]},{"id":"https://openalex.org/I4392021226","display_name":"State Key Laboratory of Advanced Optical Communication Systems and Networks","ror":"https://ror.org/02a9key75","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4392021226"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiao-Wei Wang","raw_affiliation_strings":["CAS Center for Excellence and Synergetic Innovation Center in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, Anhui 230026, China","Center for Integrated Quantum Information Technologies (IQIT), School of Physics and Astronomy and State Key Laboratory of Advanced Optical Communication Systems and Networks, Shanghai Jiao Tong University, Shanghai 200240, China"],"raw_orcid":"https://orcid.org/0000-0001-7934-7805","affiliations":[{"raw_affiliation_string":"CAS Center for Excellence and Synergetic Innovation Center in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, Anhui 230026, China","institution_ids":["https://openalex.org/I126520041"]},{"raw_affiliation_string":"Center for Integrated Quantum Information Technologies (IQIT), School of Physics and Astronomy and State Key Laboratory of Advanced Optical Communication Systems and Networks, Shanghai Jiao Tong University, Shanghai 200240, China","institution_ids":["https://openalex.org/I183067930","https://openalex.org/I4392021209","https://openalex.org/I4392021226"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112579751","display_name":"Jun Gao","orcid":"https://orcid.org/0009-0009-5417-9599","observed_orcids":["https://orcid.org/0009-0009-5417-9599"]},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]},{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]},{"id":"https://openalex.org/I4392021209","display_name":"State Key Laboratory of Advanced Optical Communication Systems and Networks","ror":"https://ror.org/03dz8mb53","country_code":"CN","type":"facility","lineage":["https://openalex.org/I183067930","https://openalex.org/I20231570","https://openalex.org/I4210155232","https://openalex.org/I4392021209"]},{"id":"https://openalex.org/I4392021226","display_name":"State Key Laboratory of Advanced Optical Communication Systems and Networks","ror":"https://ror.org/02a9key75","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4392021226"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jun Gao","raw_affiliation_strings":["CAS Center for Excellence and Synergetic Innovation Center in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, Anhui 230026, China","Center for Integrated Quantum Information Technologies (IQIT), School of Physics and Astronomy and State Key Laboratory of Advanced Optical Communication Systems and Networks, Shanghai Jiao Tong University, Shanghai 200240, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CAS Center for Excellence and Synergetic Innovation Center in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, Anhui 230026, China","institution_ids":["https://openalex.org/I126520041"]},{"raw_affiliation_string":"Center for Integrated Quantum Information Technologies (IQIT), School of Physics and Astronomy and State Key Laboratory of Advanced Optical Communication Systems and Networks, Shanghai Jiao Tong University, Shanghai 200240, China","institution_ids":["https://openalex.org/I183067930","https://openalex.org/I4392021209","https://openalex.org/I4392021226"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014561688","display_name":"Wenhao Zhou","orcid":"https://orcid.org/0009-0002-8699-5442","observed_orcids":["https://orcid.org/0009-0002-8699-5442","https://orcid.org/0009-0000-0413-4282"]},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]},{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]},{"id":"https://openalex.org/I4392021209","display_name":"State Key Laboratory of Advanced Optical Communication Systems and Networks","ror":"https://ror.org/03dz8mb53","country_code":"CN","type":"facility","lineage":["https://openalex.org/I183067930","https://openalex.org/I20231570","https://openalex.org/I4210155232","https://openalex.org/I4392021209"]},{"id":"https://openalex.org/I4392021226","display_name":"State Key Laboratory of Advanced Optical Communication Systems and Networks","ror":"https://ror.org/02a9key75","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4392021226"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wen-Hao Zhou","raw_affiliation_strings":["CAS Center for Excellence and Synergetic Innovation Center in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, Anhui 230026, China","Center for Integrated Quantum Information Technologies (IQIT), School of Physics and Astronomy and State Key Laboratory of Advanced Optical Communication Systems and Networks, Shanghai Jiao Tong University, Shanghai 200240, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CAS Center for Excellence and Synergetic Innovation Center in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, Anhui 230026, China","institution_ids":["https://openalex.org/I126520041"]},{"raw_affiliation_string":"Center for Integrated Quantum Information Technologies (IQIT), School of Physics and Astronomy and State Key Laboratory of Advanced Optical Communication Systems and Networks, Shanghai Jiao Tong University, Shanghai 200240, China","institution_ids":["https://openalex.org/I183067930","https://openalex.org/I4392021209","https://openalex.org/I4392021226"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100318956","display_name":"Yao Wang","orcid":"https://orcid.org/0000-0001-7674-7002","observed_orcids":["https://orcid.org/0000-0001-7674-7002","https://orcid.org/0009-0005-8929-7043"]},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]},{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]},{"id":"https://openalex.org/I4392021209","display_name":"State Key Laboratory of Advanced Optical Communication Systems and Networks","ror":"https://ror.org/03dz8mb53","country_code":"CN","type":"facility","lineage":["https://openalex.org/I183067930","https://openalex.org/I20231570","https://openalex.org/I4210155232","https://openalex.org/I4392021209"]},{"id":"https://openalex.org/I4392021226","display_name":"State Key Laboratory of Advanced Optical Communication Systems and Networks","ror":"https://ror.org/02a9key75","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4392021226"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yao Wang","raw_affiliation_strings":["CAS Center for Excellence and Synergetic Innovation Center in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, Anhui 230026, China","Center for Integrated Quantum Information Technologies (IQIT), School of Physics and Astronomy and State Key Laboratory of Advanced Optical Communication Systems and Networks, Shanghai Jiao Tong University, Shanghai 200240, China"],"raw_orcid":"https://orcid.org/0000-0001-7674-7002","affiliations":[{"raw_affiliation_string":"CAS Center for Excellence and Synergetic Innovation Center in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, Anhui 230026, China","institution_ids":["https://openalex.org/I126520041"]},{"raw_affiliation_string":"Center for Integrated Quantum Information Technologies (IQIT), School of Physics and Astronomy and State Key Laboratory of Advanced Optical Communication Systems and Networks, Shanghai Jiao Tong University, Shanghai 200240, China","institution_ids":["https://openalex.org/I183067930","https://openalex.org/I4392021209","https://openalex.org/I4392021226"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049136632","display_name":"Yu-Xuan Fu","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]},{"id":"https://openalex.org/I4392021209","display_name":"State Key Laboratory of Advanced Optical Communication Systems and Networks","ror":"https://ror.org/03dz8mb53","country_code":"CN","type":"facility","lineage":["https://openalex.org/I183067930","https://openalex.org/I20231570","https://openalex.org/I4210155232","https://openalex.org/I4392021209"]},{"id":"https://openalex.org/I4392021226","display_name":"State Key Laboratory of Advanced Optical Communication Systems and Networks","ror":"https://ror.org/02a9key75","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4392021226"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yu-Xuan Fu","raw_affiliation_strings":["Center for Integrated Quantum Information Technologies (IQIT), School of Physics and Astronomy and State Key Laboratory of Advanced Optical Communication Systems and Networks, Shanghai Jiao Tong University, Shanghai 200240, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Integrated Quantum Information Technologies (IQIT), School of Physics and Astronomy and State Key Laboratory of Advanced Optical Communication Systems and Networks, Shanghai Jiao Tong University, Shanghai 200240, China","institution_ids":["https://openalex.org/I183067930","https://openalex.org/I4392021209","https://openalex.org/I4392021226"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100336130","display_name":"Li Wang","orcid":"https://orcid.org/0000-0002-9361-169X","observed_orcids":["https://orcid.org/0000-0002-9361-169X"]},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]},{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]},{"id":"https://openalex.org/I4392021209","display_name":"State Key Laboratory of Advanced Optical Communication Systems and Networks","ror":"https://ror.org/03dz8mb53","country_code":"CN","type":"facility","lineage":["https://openalex.org/I183067930","https://openalex.org/I20231570","https://openalex.org/I4210155232","https://openalex.org/I4392021209"]},{"id":"https://openalex.org/I4392021226","display_name":"State Key Laboratory of Advanced Optical Communication Systems and Networks","ror":"https://ror.org/02a9key75","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4392021226"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Li Wang","raw_affiliation_strings":["CAS Center for Excellence and Synergetic Innovation Center in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, Anhui 230026, China","Center for Integrated Quantum Information Technologies (IQIT), School of Physics and Astronomy and State Key Laboratory of Advanced Optical Communication Systems and Networks, Shanghai Jiao Tong University, Shanghai 200240, China"],"raw_orcid":"https://orcid.org/0000-0002-9361-169X","affiliations":[{"raw_affiliation_string":"CAS Center for Excellence and Synergetic Innovation Center in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, Anhui 230026, China","institution_ids":["https://openalex.org/I126520041"]},{"raw_affiliation_string":"Center for Integrated Quantum Information Technologies (IQIT), School of Physics and Astronomy and State Key Laboratory of Advanced Optical Communication Systems and Networks, Shanghai Jiao Tong University, Shanghai 200240, China","institution_ids":["https://openalex.org/I183067930","https://openalex.org/I4392021209","https://openalex.org/I4392021226"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091781858","display_name":"Ruo-Jing Ren","orcid":"https://orcid.org/0000-0003-0027-6173","observed_orcids":["https://orcid.org/0000-0003-0027-6173"]},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]},{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]},{"id":"https://openalex.org/I4392021209","display_name":"State Key Laboratory of Advanced Optical Communication Systems and Networks","ror":"https://ror.org/03dz8mb53","country_code":"CN","type":"facility","lineage":["https://openalex.org/I183067930","https://openalex.org/I20231570","https://openalex.org/I4210155232","https://openalex.org/I4392021209"]},{"id":"https://openalex.org/I4392021226","display_name":"State Key Laboratory of Advanced Optical Communication Systems and Networks","ror":"https://ror.org/02a9key75","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4392021226"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ruo-Jing Ren","raw_affiliation_strings":["CAS Center for Excellence and Synergetic Innovation Center in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, Anhui 230026, China","Center for Integrated Quantum Information Technologies (IQIT), School of Physics and Astronomy and State Key Laboratory of Advanced Optical Communication Systems and Networks, Shanghai Jiao Tong University, Shanghai 200240, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CAS Center for Excellence and Synergetic Innovation Center in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, Anhui 230026, China","institution_ids":["https://openalex.org/I126520041"]},{"raw_affiliation_string":"Center for Integrated Quantum Information Technologies (IQIT), School of Physics and Astronomy and State Key Laboratory of Advanced Optical Communication Systems and Networks, Shanghai Jiao Tong University, Shanghai 200240, China","institution_ids":["https://openalex.org/I183067930","https://openalex.org/I4392021209","https://openalex.org/I4392021226"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014098385","display_name":"Lu\u2010Feng Qiao","orcid":"https://orcid.org/0000-0002-8445-9980","observed_orcids":["https://orcid.org/0000-0002-8445-9980"]},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]},{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]},{"id":"https://openalex.org/I4392021209","display_name":"State Key Laboratory of Advanced Optical Communication Systems and Networks","ror":"https://ror.org/03dz8mb53","country_code":"CN","type":"facility","lineage":["https://openalex.org/I183067930","https://openalex.org/I20231570","https://openalex.org/I4210155232","https://openalex.org/I4392021209"]},{"id":"https://openalex.org/I4392021226","display_name":"State Key Laboratory of Advanced Optical Communication Systems and Networks","ror":"https://ror.org/02a9key75","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4392021226"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lu-Feng Qiao","raw_affiliation_strings":["CAS Center for Excellence and Synergetic Innovation Center in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, Anhui 230026, China","Center for Integrated Quantum Information Technologies (IQIT), School of Physics and Astronomy and State Key Laboratory of Advanced Optical Communication Systems and Networks, Shanghai Jiao Tong University, Shanghai 200240, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CAS Center for Excellence and Synergetic Innovation Center in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, Anhui 230026, China","institution_ids":["https://openalex.org/I126520041"]},{"raw_affiliation_string":"Center for Integrated Quantum Information Technologies (IQIT), School of Physics and Astronomy and State Key Laboratory of Advanced Optical Communication Systems and Networks, Shanghai Jiao Tong University, Shanghai 200240, China","institution_ids":["https://openalex.org/I183067930","https://openalex.org/I4392021209","https://openalex.org/I4392021226"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062901935","display_name":"Xian\u2010Min Jin","orcid":"https://orcid.org/0000-0002-2809-7882","observed_orcids":["https://orcid.org/0000-0002-2809-7882"]},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]},{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]},{"id":"https://openalex.org/I4392021209","display_name":"State Key Laboratory of Advanced Optical Communication Systems and Networks","ror":"https://ror.org/03dz8mb53","country_code":"CN","type":"facility","lineage":["https://openalex.org/I183067930","https://openalex.org/I20231570","https://openalex.org/I4210155232","https://openalex.org/I4392021209"]},{"id":"https://openalex.org/I4392021226","display_name":"State Key Laboratory of Advanced Optical Communication Systems and Networks","ror":"https://ror.org/02a9key75","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4392021226"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xian-Min Jin","raw_affiliation_strings":["CAS Center for Excellence and Synergetic Innovation Center in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, Anhui 230026, China","Center for Integrated Quantum Information Technologies (IQIT), School of Physics and Astronomy and State Key Laboratory of Advanced Optical Communication Systems and Networks, Shanghai Jiao Tong University, Shanghai 200240, China","TuringQ Co., Ltd., Shanghai 200240, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CAS Center for Excellence and Synergetic Innovation Center in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, Anhui 230026, China","institution_ids":["https://openalex.org/I126520041"]},{"raw_affiliation_string":"Center for Integrated Quantum Information Technologies (IQIT), School of Physics and Astronomy and State Key Laboratory of Advanced Optical Communication Systems and Networks, Shanghai Jiao Tong University, Shanghai 200240, China","institution_ids":["https://openalex.org/I183067930","https://openalex.org/I4392021209","https://openalex.org/I4392021226"]},{"raw_affiliation_string":"TuringQ Co., Ltd., Shanghai 200240, China","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":7,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":3750,"currency":"USD","value_usd":3750},"apc_paid":null,"fwci":6.4871,"has_fulltext":true,"cited_by_count":108,"citation_normalized_percentile":{"value":0.98002076,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":87,"max":100},"biblio":{"volume":"127","issue":"14","first_page":"147401","last_page":"147401"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10657","display_name":"Topological Materials and Phenomena","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10657","display_name":"Topological Materials and Phenomena","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11262","display_name":"Quantum Mechanics and Non-Hermitian Physics","score":0.00019999999494757503,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11682","display_name":"Advanced Condensed Matter Physics","score":0.0,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/photonic-lattices","display_name":"photonic lattices","score":0.843999981880188},{"id":"https://openalex.org/keywords/chiral-symmetry-breaking","display_name":"chiral symmetry breaking","score":0.7319999933242798},{"id":"https://openalex.org/keywords/inversion-symmetry","display_name":"inversion symmetry","score":0.9390000104904175},{"id":"https://openalex.org/keywords/extended-su-schrieffer-heeger-model","display_name":"extended Su-Schrieffer-Heeger model","score":0.9120000004768372},{"id":"https://openalex.org/keywords/long-range-hopping","display_name":"long-range hopping","score":0.8820000290870667},{"id":"https://openalex.org/keywords/topological-edge-states","display_name":"topological edge states","score":0.7329999804496765},{"id":"https://openalex.org/keywords/bulk-boundary-correspondence","display_name":"bulk-boundary correspondence","score":0.9860000014305115},{"id":"https://openalex.org/keywords/continuous-time-quantum-walks","display_name":"continuous-time quantum walks","score":0.8479999899864197},{"id":"https://openalex.org/keywords/topological-invariants","display_name":"topological invariants","score":0.7450000047683716},{"id":"https://openalex.org/keywords/one-dimensional-lattice","display_name":"one-dimensional lattice","score":0.8379999995231628}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.7064060568809509},{"id":"https://openalex.org/C188914724","wikidata":"https://www.wikidata.org/wiki/Q1203075","display_name":"Point reflection","level":2,"score":0.6685821413993835},{"id":"https://openalex.org/C96469262","wikidata":"https://www.wikidata.org/wiki/Q1324364","display_name":"Homogeneous space","level":2,"score":0.6542736887931824},{"id":"https://openalex.org/C192271897","wikidata":"https://www.wikidata.org/wiki/Q198438","display_name":"Zigzag","level":2,"score":0.642559289932251},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.5276502370834351},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.49338164925575256},{"id":"https://openalex.org/C45646460","wikidata":"https://www.wikidata.org/wiki/Q17165159","display_name":"Topological order","level":3,"score":0.4679965376853943},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4666728079319},{"id":"https://openalex.org/C20788544","wikidata":"https://www.wikidata.org/wiki/Q467054","display_name":"Photonics","level":2,"score":0.46208426356315613},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.40868234634399414},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.40103843808174133},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.3369361162185669},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.16207194328308105},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.07977244257926941},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":7,"locations":[{"id":"doi:10.1103/physrevlett.127.147401","doi":"https://doi.org/10.1103/physrevlett.127.147401","is_oa":true,"landing_page_url":"https://doi.org/10.1103/physrevlett.127.147401","pdf_url":"http://link.aps.org/pdf/10.1103/PhysRevLett.127.147401","source":{"id":"https://openalex.org/S24807848","display_name":"Physical Review Letters","issn_l":"0031-9007","issn":["0031-9007","1079-7114","1092-0145"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-a","jufo-3","ki-jl-2","medline","norway-2","poland-200","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review Letters","raw_type":"journal-article"},{"id":"pmid:34652196","doi":null,"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/34652196","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical review letters","raw_type":"Journal Article"},{"id":"pmh:oai:arXiv.org:2109.13717","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2109.13717","pdf_url":"https://arxiv.org/pdf/2109.13717","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:re.public.polimi.it:11311/1189034","doi":null,"is_oa":true,"landing_page_url":"http://hdl.handle.net/11311/1189034","pdf_url":"https://re.public.polimi.it/bitstream/11311/1189034/1/arXiv%20version%20published.pdf","source":{"id":"https://openalex.org/S4306400312","display_name":"Virtual Community of Pathological Anatomy (University of Castilla La Mancha)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I79189158","host_organization_name":"University of Castilla-La Mancha","host_organization_lineage":["https://openalex.org/I79189158"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:digital.csic.es:10261/266780","doi":null,"is_oa":false,"landing_page_url":"http://hdl.handle.net/10261/266780","pdf_url":null,"source":{"id":"https://openalex.org/S4306400616","display_name":"DIGITAL.CSIC (Spanish National Research Council (CSIC))","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I134820265","host_organization_name":"Consejo Superior de Investigaciones Cient\u00edficas","host_organization_lineage":["https://openalex.org/I134820265"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"art\u00edculo"},{"id":"pmh:oai:figshare.com:article/21881502","doi":null,"is_oa":true,"landing_page_url":"https://figshare.com/articles/preprint/Experimentally_Detecting_Quantized_Zak_Phases_without_Chiral_Symmetry_in_Photonic_Lattices/21881502","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"doi:10.48550/arxiv.2109.13717","doi":"https://doi.org/10.48550/arxiv.2109.13717","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2109.13717","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"doi:10.1103/physrevlett.127.147401","doi":"https://doi.org/10.1103/physrevlett.127.147401","is_oa":true,"landing_page_url":"https://doi.org/10.1103/physrevlett.127.147401","pdf_url":"http://link.aps.org/pdf/10.1103/PhysRevLett.127.147401","source":{"id":"https://openalex.org/S24807848","display_name":"Physical Review Letters","issn_l":"0031-9007","issn":["0031-9007","1079-7114","1092-0145"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-a","jufo-3","ki-jl-2","medline","norway-2","poland-200","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review Letters","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G1643589827","display_name":null,"funder_award_id":"2019YFA0308700","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G2052214725","display_name":null,"funder_award_id":"11690033","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3325164054","display_name":null,"funder_award_id":"11904229","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3345598056","display_name":null,"funder_award_id":"2019YFA0308700","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3794144889","display_name":null,"funder_award_id":"2017YFA0303700","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4127595024","display_name":"\u4e8c\u6c27\u5316\u7845\u57fa\u6df7\u5408\u96c6\u6210\u5149\u91cf\u5b50\u82af\u7247\u57fa\u7840\u7814\u7a76","funder_award_id":"61734005","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G438544507","display_name":null,"funder_award_id":"2019SHZ DZX01","funder_id":"https://openalex.org/F4320321885","funder_display_name":"Science and Technology Commission of Shanghai Municipality"},{"id":"https://openalex.org/G4518114676","display_name":null,"funder_award_id":"2017 YFA0303700","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G5219932531","display_name":null,"funder_award_id":"201701","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5786032260","display_name":null,"funder_award_id":"2019YFA0706302","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G6819221458","display_name":null,"funder_award_id":"20JC1416300","funder_id":"https://openalex.org/F4320321885","funder_display_name":"Science and Technology Commission of Shanghai Municipality"},{"id":"https://openalex.org/G688834117","display_name":null,"funder_award_id":"2017\u2010 01\u201007\u201000\u201002\u2010E00049","funder_id":"https://openalex.org/F4320321881","funder_display_name":"Shanghai Municipal Education Commission"},{"id":"https://openalex.org/G759377986","display_name":null,"funder_award_id":"20JC1416300","funder_id":"https://openalex.org/F4320321881","funder_display_name":"Shanghai Municipal Education Commission"},{"id":"https://openalex.org/G7617336202","display_name":null,"funder_award_id":"2019SHZDZX01","funder_id":"https://openalex.org/F4320321881","funder_display_name":"Shanghai Municipal Education Commission"},{"id":"https://openalex.org/G8645243781","display_name":null,"funder_award_id":"11761141014","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321881","display_name":"Shanghai Municipal Education Commission","ror":"https://ror.org/05tewj457"},{"id":"https://openalex.org/F4320321885","display_name":"Science and Technology Commission of Shanghai Municipality","ror":"https://ror.org/03kt66j61"},{"id":"https://openalex.org/F4320322999","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04"},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null},{"id":"https://openalex.org/F462222557","display_name":"Zhiyuan Innovative Research Center, Shanghai Jiao Tong University","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3203231981.pdf","grobid_xml":"https://content.openalex.org/works/W3203231981.grobid-xml"},"referenced_works_count":57,"referenced_works":["https://openalex.org/W1501955150","https://openalex.org/W1605376869","https://openalex.org/W1625951388","https://openalex.org/W1761097384","https://openalex.org/W1904914631","https://openalex.org/W1973490797","https://openalex.org/W1978426240","https://openalex.org/W1991260972","https://openalex.org/W1997972857","https://openalex.org/W2015027166","https://openalex.org/W2021094087","https://openalex.org/W2031362515","https://openalex.org/W2037079694","https://openalex.org/W2038985364","https://openalex.org/W2061000251","https://openalex.org/W2072703702","https://openalex.org/W2077648374","https://openalex.org/W2077767282","https://openalex.org/W2117327874","https://openalex.org/W2119006096","https://openalex.org/W2121123255","https://openalex.org/W2124915413","https://openalex.org/W2141240101","https://openalex.org/W2156726186","https://openalex.org/W2167975496","https://openalex.org/W2242496204","https://openalex.org/W2266303867","https://openalex.org/W2297830556","https://openalex.org/W2337998329","https://openalex.org/W2372065283","https://openalex.org/W2409995925","https://openalex.org/W2411481865","https://openalex.org/W2413853995","https://openalex.org/W2470570791","https://openalex.org/W2538420542","https://openalex.org/W2620775208","https://openalex.org/W2741530714","https://openalex.org/W2781846354","https://openalex.org/W2795835319","https://openalex.org/W2796102228","https://openalex.org/W2802588109","https://openalex.org/W2891857191","https://openalex.org/W2892289219","https://openalex.org/W2899688016","https://openalex.org/W2929742930","https://openalex.org/W2952205913","https://openalex.org/W2952846435","https://openalex.org/W2962863409","https://openalex.org/W2963116858","https://openalex.org/W2982330153","https://openalex.org/W2990696293","https://openalex.org/W3102327618","https://openalex.org/W3102897980","https://openalex.org/W3195170156","https://openalex.org/W4211161891","https://openalex.org/W4243822010","https://openalex.org/W4253402875"],"related_works":["https://openalex.org/W2892289219","https://openalex.org/W2539216436","https://openalex.org/W2995257252","https://openalex.org/W2620775208","https://openalex.org/W4302590978","https://openalex.org/W2955369568","https://openalex.org/W4360850745","https://openalex.org/W4388772559","https://openalex.org/W7168347409","https://openalex.org/W4361283753"],"abstract_inverted_index":{"Symmetries":[0],"play":[1],"a":[2,14,136],"major":[3],"role":[4],"in":[5,12,95,121],"identifying":[6],"topological":[7,22,92,123,144],"phases":[8,42],"of":[9,81,103],"matter":[10],"and":[11,21,43,147],"establishing":[13],"direct":[15],"connection":[16],"between":[17],"protected":[18,35,44],"edge":[19,45,117],"states":[20,118],"bulk":[23,97],"invariants":[24,93],"via":[25],"the":[26,71,79,85,96,99,112,122,128,141,148],"bulk-boundary":[27,130,149],"correspondence.":[28,131,150],"One-dimensional":[29],"lattices":[30],"are":[31],"deemed":[32],"to":[33,139],"be":[34],"by":[36,64],"chiral":[37,62,75],"symmetry,":[38],"exhibiting":[39],"quantized":[40,113],"Zak":[41,114],"states,":[46],"but":[47,77,116],"not":[48],"for":[49],"all":[50],"cases.":[51],"Here,":[52],"we":[53,90],"experimentally":[54],"realize":[55],"an":[56],"extended":[57],"Su-Schrieffer-Heeger":[58],"model":[59],"with":[60],"broken":[61],"symmetry":[63,76,110],"engineering":[65],"one-dimensional":[66],"zigzag":[67],"photonic":[68,133],"lattices,":[69],"where":[70],"long-range":[72],"hopping":[73],"breaks":[74],"ensures":[78],"existence":[80],"inversion":[82,109],"symmetry.":[83],"By":[84],"averaged":[86],"mean":[87],"displacement":[88],"method,":[89],"detect":[91],"directly":[94],"through":[98],"continuous-time":[100],"quantum":[101],"walk":[102],"photons.":[104],"Our":[105,132],"results":[106],"demonstrate":[107],"that":[108],"protects":[111],"phase":[115],"can":[119],"disappear":[120],"nontrivial":[124],"phase,":[125],"thus":[126],"breaking":[127],"conventional":[129],"lattice":[134],"provides":[135],"useful":[137],"platform":[138],"study":[140],"interplay":[142],"among":[143],"phases,":[145],"symmetries,":[146]},"counts_by_year":[{"year":2026,"cited_by_count":17},{"year":2025,"cited_by_count":24},{"year":2024,"cited_by_count":29},{"year":2023,"cited_by_count":21},{"year":2022,"cited_by_count":16},{"year":2021,"cited_by_count":1}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2021-10-11T00:00:00"}