{"id":"https://openalex.org/W4392750929","doi":"https://doi.org/10.22331/q-2024-03-13-1277","title":"Emergent parallel transport and curvature in Hermitian and non-Hermitian quantum mechanics","display_name":"Emergent parallel transport and curvature in Hermitian and non-Hermitian quantum mechanics","publication_year":2024,"publication_date":"2024-03-13","ids":{"openalex":"https://openalex.org/W4392750929","doi":"https://doi.org/10.22331/q-2024-03-13-1277"},"language":"en","primary_location":{"id":"doi:10.22331/q-2024-03-13-1277","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2024-03-13-1277","pdf_url":"https://quantum-journal.org/papers/q-2024-03-13-1277/pdf/","source":{"id":"https://openalex.org/S4210226432","display_name":"Quantum","issn_l":"2521-327X","issn":["2521-327X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317900","host_organization_name":"Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften","host_organization_lineage":["https://openalex.org/P4310317900"],"host_organization_lineage_names":["Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://quantum-journal.org/papers/q-2024-03-13-1277/pdf/","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5001693495","display_name":"Chia-Yi Ju","orcid":"https://orcid.org/0000-0001-7038-3375"},"institutions":[{"id":"https://openalex.org/I142974352","display_name":"National Sun Yat-sen University","ror":"https://ror.org/00mjawt10","country_code":"TW","type":"education","lineage":["https://openalex.org/I142974352"]}],"countries":["TW"],"is_corresponding":true,"raw_author_name":"Chia-Yi Ju","raw_affiliation_strings":["Center for Theoretical and Computational Physics, National Sun Yat-sen University, Kaohsiung 80424, Taiwan","Department of Physics, National Sun Yat-sen University, Kaohsiung 80424, Taiwan"],"affiliations":[{"raw_affiliation_string":"Center for Theoretical and Computational Physics, National Sun Yat-sen University, Kaohsiung 80424, Taiwan","institution_ids":["https://openalex.org/I142974352"]},{"raw_affiliation_string":"Department of Physics, National Sun Yat-sen University, Kaohsiung 80424, Taiwan","institution_ids":["https://openalex.org/I142974352"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079671435","display_name":"Adam Miranowicz","orcid":"https://orcid.org/0000-0002-8222-9268"},"institutions":[{"id":"https://openalex.org/I4210104019","display_name":"Pioneer (Japan)","ror":"https://ror.org/014kzp326","country_code":"JP","type":"company","lineage":["https://openalex.org/I4210104019"]},{"id":"https://openalex.org/I4210110652","display_name":"RIKEN","ror":"https://ror.org/01sjwvz98","country_code":"JP","type":"facility","lineage":["https://openalex.org/I4210110652"]},{"id":"https://openalex.org/I59411706","display_name":"Adam Mickiewicz University in Pozna\u0144","ror":"https://ror.org/04g6bbq64","country_code":"PL","type":"education","lineage":["https://openalex.org/I59411706"]}],"countries":["JP","PL"],"is_corresponding":false,"raw_author_name":"Adam Miranowicz","raw_affiliation_strings":["Institute of Spintronics and Quantum Information, Faculty of Physics, Adam Mickiewicz University, 61-614 Pozna\u0144, Poland","Theoretical Quantum Physics Laboratory, Cluster for Pioneering Research, RIKEN, Wakoshi, Saitama, 351-0198, Japan"],"affiliations":[{"raw_affiliation_string":"Institute of Spintronics and Quantum Information, Faculty of Physics, Adam Mickiewicz University, 61-614 Pozna\u0144, Poland","institution_ids":["https://openalex.org/I59411706"]},{"raw_affiliation_string":"Theoretical Quantum Physics Laboratory, Cluster for Pioneering Research, RIKEN, Wakoshi, Saitama, 351-0198, Japan","institution_ids":["https://openalex.org/I4210104019","https://openalex.org/I4210110652"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032524362","display_name":"Yueh-Nan Chen","orcid":"https://orcid.org/0000-0002-2785-7675"},"institutions":[{"id":"https://openalex.org/I4210119858","display_name":"National Center for Theoretical Sciences","ror":"https://ror.org/02mfp0b67","country_code":"TW","type":"facility","lineage":["https://openalex.org/I4210119858"]},{"id":"https://openalex.org/I4403386790","display_name":"National Center for Theoretical Sciences, Physics Division","ror":"https://ror.org/02mh1d616","country_code":null,"type":"facility","lineage":["https://openalex.org/I4210119858","https://openalex.org/I4403386790"]},{"id":"https://openalex.org/I91807558","display_name":"National Cheng Kung University","ror":"https://ror.org/01b8kcc49","country_code":"TW","type":"education","lineage":["https://openalex.org/I91807558"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Yueh-Nan Chen","raw_affiliation_strings":["Center for Quantum Frontiers of Research & Technology, NCKU, Tainan 70101, Taiwan","Department of Physics, National Cheng Kung University, Tainan 70101, Taiwan","Physics Division, National Center for Theoretical Sciences, Taipei 10617, Taiwan"],"affiliations":[{"raw_affiliation_string":"Center for Quantum Frontiers of Research & Technology, NCKU, Tainan 70101, Taiwan","institution_ids":[]},{"raw_affiliation_string":"Department of Physics, National Cheng Kung University, Tainan 70101, Taiwan","institution_ids":["https://openalex.org/I91807558"]},{"raw_affiliation_string":"Physics Division, National Center for Theoretical Sciences, Taipei 10617, Taiwan","institution_ids":["https://openalex.org/I4210119858","https://openalex.org/I4403386790"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031046709","display_name":"Guang-Yin Chen","orcid":"https://orcid.org/0000-0002-0075-6428"},"institutions":[{"id":"https://openalex.org/I162838928","display_name":"National Chung Hsing University","ror":"https://ror.org/05vn3ca78","country_code":"TW","type":"education","lineage":["https://openalex.org/I162838928"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Guang-Yin Chen","raw_affiliation_strings":["Department of Physics, National Chung Hsing University, Taichung 40227, Taiwan"],"affiliations":[{"raw_affiliation_string":"Department of Physics, National Chung Hsing University, Taichung 40227, Taiwan","institution_ids":["https://openalex.org/I162838928"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048800312","display_name":"Franco Nori","orcid":"https://orcid.org/0000-0003-3682-7432"},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]},{"id":"https://openalex.org/I4210104019","display_name":"Pioneer (Japan)","ror":"https://ror.org/014kzp326","country_code":"JP","type":"company","lineage":["https://openalex.org/I4210104019"]},{"id":"https://openalex.org/I4210110652","display_name":"RIKEN","ror":"https://ror.org/01sjwvz98","country_code":"JP","type":"facility","lineage":["https://openalex.org/I4210110652"]},{"id":"https://openalex.org/I4210165842","display_name":"RIKEN Center for Advanced Photonics","ror":"https://ror.org/05vmjks78","country_code":"JP","type":"facility","lineage":["https://openalex.org/I4210110652","https://openalex.org/I4210165842"]}],"countries":["JP","US"],"is_corresponding":false,"raw_author_name":"Franco Nori","raw_affiliation_strings":["Physics Department, University of Michigan, Ann Arbor, MI 48109-1040, USA","Quantum Computing Center, RIKEN, Wakoshi, Saitama, 351-0198, Japan","Theoretical Quantum Physics Laboratory, Cluster for Pioneering Research, RIKEN, Wakoshi, Saitama, 351-0198, Japan"],"affiliations":[{"raw_affiliation_string":"Physics Department, University of Michigan, Ann Arbor, MI 48109-1040, USA","institution_ids":["https://openalex.org/I27837315"]},{"raw_affiliation_string":"Quantum Computing Center, RIKEN, Wakoshi, Saitama, 351-0198, Japan","institution_ids":["https://openalex.org/I4210165842"]},{"raw_affiliation_string":"Theoretical Quantum Physics Laboratory, Cluster for Pioneering Research, RIKEN, Wakoshi, Saitama, 351-0198, Japan","institution_ids":["https://openalex.org/I4210104019","https://openalex.org/I4210110652"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5001693495"],"corresponding_institution_ids":["https://openalex.org/I142974352"],"apc_list":{"value":200,"currency":"EUR","value_usd":215},"apc_paid":{"value":200,"currency":"EUR","value_usd":215},"fwci":5.639,"has_fulltext":true,"cited_by_count":17,"citation_normalized_percentile":{"value":0.96710684,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":99},"biblio":{"volume":"8","issue":null,"first_page":"1277","last_page":"1277"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11262","display_name":"Quantum Mechanics and Non-Hermitian Physics","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11262","display_name":"Quantum Mechanics and Non-Hermitian Physics","score":0.9998999834060669,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.965499997138977,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear 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/T10657","display_name":"Topological Materials and Phenomena","score":0.9286999702453613,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/hermitian-matrix","display_name":"Hermitian matrix","score":0.7652658224105835},{"id":"https://openalex.org/keywords/curvature","display_name":"Curvature","score":0.6664255857467651},{"id":"https://openalex.org/keywords/formalism","display_name":"Formalism (music)","score":0.6431885361671448},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.634594202041626},{"id":"https://openalex.org/keywords/christoffel-symbols","display_name":"Christoffel symbols","score":0.6201573610305786},{"id":"https://openalex.org/keywords/berry-connection-and-curvature","display_name":"Berry connection and curvature","score":0.563522219657898},{"id":"https://openalex.org/keywords/hermitian-symmetric-space","display_name":"Hermitian symmetric space","score":0.517818033695221},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.4754849672317505},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.44061005115509033},{"id":"https://openalex.org/keywords/schr\u00f6dinger-equation","display_name":"Schr\u00f6dinger equation","score":0.43253523111343384},{"id":"https://openalex.org/keywords/schr\u00f6dingers-cat","display_name":"Schr\u00f6dinger's cat","score":0.4279639720916748},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.42563438415527344},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42312535643577576},{"id":"https://openalex.org/keywords/fiber-bundle","display_name":"Fiber bundle","score":0.4231113791465759},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.38763147592544556},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.34104713797569275},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3018031716346741},{"id":"https://openalex.org/keywords/bundle","display_name":"Bundle","score":0.2898333668708801},{"id":"https://openalex.org/keywords/hermitian-manifold","display_name":"Hermitian manifold","score":0.2545364797115326},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.19289171695709229},{"id":"https://openalex.org/keywords/ricci-curvature","display_name":"Ricci curvature","score":0.08801883459091187}],"concepts":[{"id":"https://openalex.org/C94940","wikidata":"https://www.wikidata.org/wiki/Q652941","display_name":"Hermitian matrix","level":2,"score":0.7652658224105835},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.6664255857467651},{"id":"https://openalex.org/C73301696","wikidata":"https://www.wikidata.org/wiki/Q5469984","display_name":"Formalism (music)","level":3,"score":0.6431885361671448},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.634594202041626},{"id":"https://openalex.org/C77850982","wikidata":"https://www.wikidata.org/wiki/Q847816","display_name":"Christoffel symbols","level":2,"score":0.6201573610305786},{"id":"https://openalex.org/C22448393","wikidata":"https://www.wikidata.org/wiki/Q4894840","display_name":"Berry connection and curvature","level":3,"score":0.563522219657898},{"id":"https://openalex.org/C127299034","wikidata":"https://www.wikidata.org/wiki/Q5741926","display_name":"Hermitian symmetric space","level":5,"score":0.517818033695221},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.4754849672317505},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.44061005115509033},{"id":"https://openalex.org/C63036615","wikidata":"https://www.wikidata.org/wiki/Q165498","display_name":"Schr\u00f6dinger equation","level":2,"score":0.43253523111343384},{"id":"https://openalex.org/C194800363","wikidata":"https://www.wikidata.org/wiki/Q8588","display_name":"Schr\u00f6dinger's cat","level":2,"score":0.4279639720916748},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.42563438415527344},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42312535643577576},{"id":"https://openalex.org/C146710177","wikidata":"https://www.wikidata.org/wiki/Q1154996","display_name":"Fiber bundle","level":3,"score":0.4231113791465759},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.38763147592544556},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.34104713797569275},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3018031716346741},{"id":"https://openalex.org/C2778134712","wikidata":"https://www.wikidata.org/wiki/Q1047307","display_name":"Bundle","level":2,"score":0.2898333668708801},{"id":"https://openalex.org/C1432948","wikidata":"https://www.wikidata.org/wiki/Q5741935","display_name":"Hermitian manifold","level":4,"score":0.2545364797115326},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.19289171695709229},{"id":"https://openalex.org/C12089564","wikidata":"https://www.wikidata.org/wiki/Q1195879","display_name":"Ricci curvature","level":3,"score":0.08801883459091187},{"id":"https://openalex.org/C153349607","wikidata":"https://www.wikidata.org/wiki/Q36649","display_name":"Visual arts","level":1,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C558565934","wikidata":"https://www.wikidata.org/wiki/Q2743","display_name":"Musical","level":2,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.22331/q-2024-03-13-1277","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2024-03-13-1277","pdf_url":"https://quantum-journal.org/papers/q-2024-03-13-1277/pdf/","source":{"id":"https://openalex.org/S4210226432","display_name":"Quantum","issn_l":"2521-327X","issn":["2521-327X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317900","host_organization_name":"Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften","host_organization_lineage":["https://openalex.org/P4310317900"],"host_organization_lineage_names":["Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:b1d73bcd1319457a936cefb07539123f","is_oa":true,"landing_page_url":"https://doaj.org/article/b1d73bcd1319457a936cefb07539123f","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Quantum, Vol 8, p 1277 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.22331/q-2024-03-13-1277","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2024-03-13-1277","pdf_url":"https://quantum-journal.org/papers/q-2024-03-13-1277/pdf/","source":{"id":"https://openalex.org/S4210226432","display_name":"Quantum","issn_l":"2521-327X","issn":["2521-327X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317900","host_organization_name":"Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften","host_organization_lineage":["https://openalex.org/P4310317900"],"host_organization_lineage_names":["Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.44999998807907104}],"awards":[{"id":"https://openalex.org/G1064757669","display_name":null,"funder_award_id":"FA2386-20-1-4069","funder_id":"https://openalex.org/F4320318019","funder_display_name":"Asian Office of Aerospace Research and Development"},{"id":"https://openalex.org/G2235139785","display_name":null,"funder_award_id":"N62909-23-1-2074","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G2279853913","display_name":null,"funder_award_id":"W911NF-19-1","funder_id":"https://openalex.org/F4320338281","funder_display_name":"Army Research Office"},{"id":"https://openalex.org/G2811237814","display_name":null,"funder_award_id":"Grant","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G299619302","display_name":null,"funder_award_id":"N62909-23-1-2074","funder_id":"https://openalex.org/F4320338298","funder_display_name":"Office of Naval Research Global"},{"id":"https://openalex.org/G3090458625","display_name":null,"funder_award_id":"FA2386-20-1-4069","funder_id":"https://openalex.org/F4320338281","funder_display_name":"Army Research Office"},{"id":"https://openalex.org/G3261506627","display_name":null,"funder_award_id":"111-2123-M-006-001","funder_id":"https://openalex.org/F4320311041","funder_display_name":"National Center for Theoretical Sciences"},{"id":"https://openalex.org/G4100694930","display_name":null,"funder_award_id":"N62909- 23-1-2074","funder_id":"https://openalex.org/F4320338298","funder_display_name":"Office of Naval Research Global"},{"id":"https://openalex.org/G4611969921","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320334789","funder_display_name":"Japan Science and Technology Agency"},{"id":"https://openalex.org/G4864544293","display_name":null,"funder_award_id":"Japan","funder_id":"https://openalex.org/F4320334789","funder_display_name":"Japan Science and Technology Agency"},{"id":"https://openalex.org/G5194889490","display_name":null,"funder_award_id":"W911NF-19-1-0081","funder_id":"https://openalex.org/F4320338281","funder_display_name":"Army Research Office"},{"id":"https://openalex.org/G5543296614","display_name":null,"funder_award_id":"JPMJMS20","funder_id":"https://openalex.org/F4320338247","funder_display_name":"Moonshot Research and Development Program"},{"id":"https://openalex.org/G5877704734","display_name":null,"funder_award_id":"JPMJMS2061","funder_id":"https://openalex.org/F4320334789","funder_display_name":"Japan Science and Technology Agency"},{"id":"https://openalex.org/G7452299184","display_name":null,"funder_award_id":"W911NF","funder_id":"https://openalex.org/F4320338281","funder_display_name":"Army Research Office"},{"id":"https://openalex.org/G7485138276","display_name":null,"funder_award_id":"Technology","funder_id":"https://openalex.org/F4320334789","funder_display_name":"Japan Science and Technology Agency"},{"id":"https://openalex.org/G7498059667","display_name":null,"funder_award_id":"DEC-2019/34/A/ST2/00081","funder_id":"https://openalex.org/F4320322511","funder_display_name":"Narodowe Centrum Nauki"},{"id":"https://openalex.org/G7904985311","display_name":null,"funder_award_id":"JPMJMS2061","funder_id":"https://openalex.org/F4320338247","funder_display_name":"Moonshot Research and Development Program"},{"id":"https://openalex.org/G8415477955","display_name":null,"funder_award_id":"W911NF-19","funder_id":"https://openalex.org/F4320338281","funder_display_name":"Army Research Office"},{"id":"https://openalex.org/G8649454806","display_name":null,"funder_award_id":"Q-LEAP","funder_id":"https://openalex.org/F4320334789","funder_display_name":"Japan Science and Technology Agency"},{"id":"https://openalex.org/G8998121839","display_name":null,"funder_award_id":"911NF","funder_id":"https://openalex.org/F4320338281","funder_display_name":"Army Research Office"}],"funders":[{"id":"https://openalex.org/F4320311041","display_name":"National Center for Theoretical Sciences","ror":"https://ror.org/02mfp0b67"},{"id":"https://openalex.org/F4320318019","display_name":"Asian Office of Aerospace Research and Development","ror":null},{"id":"https://openalex.org/F4320322511","display_name":"Narodowe Centrum Nauki","ror":"https://ror.org/03ha2q922"},{"id":"https://openalex.org/F4320331164","display_name":"National Science and Technology Council","ror":"https://ror.org/00wnb9798"},{"id":"https://openalex.org/F4320334789","display_name":"Japan Science and Technology Agency","ror":"https://ror.org/00097mb19"},{"id":"https://openalex.org/F4320337345","display_name":"Office of Naval Research","ror":"https://ror.org/00rk2pe57"},{"id":"https://openalex.org/F4320338247","display_name":"Moonshot Research and Development Program","ror":null},{"id":"https://openalex.org/F4320338281","display_name":"Army Research Office","ror":"https://ror.org/05epdh915"},{"id":"https://openalex.org/F4320338298","display_name":"Office of Naval Research Global","ror":"https://ror.org/00rk2pe57"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4392750929.pdf"},"referenced_works_count":81,"referenced_works":["https://openalex.org/W1447169886","https://openalex.org/W1451104134","https://openalex.org/W1509301804","https://openalex.org/W1509367852","https://openalex.org/W1582311148","https://openalex.org/W1665371518","https://openalex.org/W1997323544","https://openalex.org/W1998498975","https://openalex.org/W2011317146","https://openalex.org/W2023329370","https://openalex.org/W2031828766","https://openalex.org/W2050208293","https://openalex.org/W2067123857","https://openalex.org/W2089005763","https://openalex.org/W2118676987","https://openalex.org/W2127940950","https://openalex.org/W2128925589","https://openalex.org/W2132568564","https://openalex.org/W2136760489","https://openalex.org/W2158447905","https://openalex.org/W2160223254","https://openalex.org/W2325030318","https://openalex.org/W2511750669","https://openalex.org/W2538420542","https://openalex.org/W2739111990","https://openalex.org/W2744045251","https://openalex.org/W2759432776","https://openalex.org/W2781491230","https://openalex.org/W2785230806","https://openalex.org/W2907736445","https://openalex.org/W2930665417","https://openalex.org/W2930890360","https://openalex.org/W2948279004","https://openalex.org/W2950613702","https://openalex.org/W2951635196","https://openalex.org/W2967190699","https://openalex.org/W2982468996","https://openalex.org/W2994215326","https://openalex.org/W2994665279","https://openalex.org/W2995032841","https://openalex.org/W2995038052","https://openalex.org/W3004333419","https://openalex.org/W3006202267","https://openalex.org/W3007043405","https://openalex.org/W3016850165","https://openalex.org/W3022145638","https://openalex.org/W3034071862","https://openalex.org/W3035225326","https://openalex.org/W3084443631","https://openalex.org/W3092087256","https://openalex.org/W3098414560","https://openalex.org/W3098467665","https://openalex.org/W3098512198","https://openalex.org/W3101001549","https://openalex.org/W3101999675","https://openalex.org/W3103582269","https://openalex.org/W3104876546","https://openalex.org/W3118554398","https://openalex.org/W3119667981","https://openalex.org/W3121615146","https://openalex.org/W3158529477","https://openalex.org/W3163242643","https://openalex.org/W3215365763","https://openalex.org/W4205913435","https://openalex.org/W4211142276","https://openalex.org/W4220781019","https://openalex.org/W4224470033","https://openalex.org/W4234528913","https://openalex.org/W4234933822","https://openalex.org/W4243113755","https://openalex.org/W4251436544","https://openalex.org/W4253724858","https://openalex.org/W4280631025","https://openalex.org/W4285029644","https://openalex.org/W4293574821","https://openalex.org/W4321792946","https://openalex.org/W4360610895","https://openalex.org/W4361222155","https://openalex.org/W4382061880","https://openalex.org/W4385417145","https://openalex.org/W4392159464"],"related_works":["https://openalex.org/W4254911055","https://openalex.org/W3091666534","https://openalex.org/W2951205465","https://openalex.org/W4318753863","https://openalex.org/W170515203","https://openalex.org/W2005868985","https://openalex.org/W3021413549","https://openalex.org/W4301698192","https://openalex.org/W153651333","https://openalex.org/W4224138396"],"abstract_inverted_index":{"Studies":[0],"have":[1],"shown":[2],"that":[3,71,90],"the":[4,44,57,61,66,72,75,91,95],"Hilbert":[5,76],"spaces":[6],"of":[7,74,98],"non-Hermitian":[8],"systems":[9],"require":[10],"nontrivial":[11],"metrics.":[12],"Here,":[13],"we":[14,88],"demonstrate":[15],"how":[16],"evolution":[17,58],"dimensions,":[18],"in":[19,31,51],"addition":[20],"to":[21,102],"time,":[22],"can":[23,35],"emerge":[24],"naturally":[25],"from":[26],"a":[27,39,48],"geometric":[28],"formalism.":[29,53],"Specifically,":[30],"this":[32,52],"formalism,":[33],"Hamiltonians":[34],"be":[36],"interpreted":[37],"as":[38,47],"Christoffel":[40],"symbol-like":[41],"operators,":[42],"and":[43,63,69,94],"Schroedinger":[45],"equation":[46],"parallel":[49,105],"transport":[50],"We":[54],"then":[55],"derive":[56],"equations":[59],"for":[60,79],"states":[62,99],"metrics":[64],"along":[65],"emergent":[67,104],"dimensions":[68],"find":[70],"curvature":[73],"space":[77],"bundle":[78],"any":[80],"given":[81],"closed":[82],"system":[83],"is":[84],"locally":[85],"flat.":[86],"Finally,":[87],"show":[89],"fidelity":[92],"susceptibilities":[93],"Berry":[96],"curvatures":[97],"are":[100],"related":[101],"these":[103],"transports.":[106]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":10},{"year":2024,"cited_by_count":5}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
