{"id":"https://openalex.org/W3000466974","doi":"https://doi.org/10.1103/physrevlett.124.043001","title":"Observation of Dynamical Quantum Phase Transitions with Correspondence in an Excited State Phase Diagram","display_name":"Observation of Dynamical Quantum Phase Transitions with Correspondence in an Excited State Phase Diagram","publication_year":2020,"publication_date":"2020-01-31","ids":{"openalex":"https://openalex.org/W3000466974","doi":"https://doi.org/10.1103/physrevlett.124.043001","mag":"3000466974","pmid":"https://pubmed.ncbi.nlm.nih.gov/32058743"},"language":"en","primary_location":{"id":"doi:10.1103/physrevlett.124.043001","doi":"https://doi.org/10.1103/physrevlett.124.043001","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physrevlett.124.043001","pdf_url":null,"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":"green","oa_url":"https://arxiv.org/pdf/2001.02686","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5040749536","display_name":"Tonghua Tian","orcid":"https://orcid.org/0009-0005-9708-1170","observed_orcids":["https://orcid.org/0009-0005-9708-1170","https://orcid.org/0000-0003-1575-8781"]},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"T. Tian","raw_affiliation_strings":["Center for Quantum Information, IIIS, Tsinghua University, Beijing 100084, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Quantum Information, IIIS, Tsinghua University, Beijing 100084, People's Republic of China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102796268","display_name":"H.-X. Yang","orcid":"https://orcid.org/0000-0001-6619-4045","observed_orcids":["https://orcid.org/0000-0001-6619-4045"]},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"H.-X. Yang","raw_affiliation_strings":["Center for Quantum Information, IIIS, Tsinghua University, Beijing 100084, People's Republic of China"],"raw_orcid":"https://orcid.org/0000-0001-6619-4045","affiliations":[{"raw_affiliation_string":"Center for Quantum Information, IIIS, Tsinghua University, Beijing 100084, People's Republic of China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071655312","display_name":"L.-Y. Qiu","orcid":"https://orcid.org/0000-0001-5308-3776","observed_orcids":["https://orcid.org/0000-0001-5308-3776"]},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"L.-Y. Qiu","raw_affiliation_strings":["Center for Quantum Information, IIIS, Tsinghua University, Beijing 100084, People's Republic of China"],"raw_orcid":"https://orcid.org/0000-0001-5308-3776","affiliations":[{"raw_affiliation_string":"Center for Quantum Information, IIIS, Tsinghua University, Beijing 100084, People's Republic of China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101578956","display_name":"Hongyu Liang","orcid":"https://orcid.org/0000-0002-8149-1563","observed_orcids":["https://orcid.org/0000-0002-8149-1563"]},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"H.-Y. Liang","raw_affiliation_strings":["Center for Quantum Information, IIIS, Tsinghua University, Beijing 100084, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Quantum Information, IIIS, Tsinghua University, Beijing 100084, People's Republic of China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038813157","display_name":"Yan-Bin Yang","orcid":"https://orcid.org/0000-0002-2076-3940","observed_orcids":["https://orcid.org/0000-0002-2076-3940"]},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Y.-B. Yang","raw_affiliation_strings":["Center for Quantum Information, IIIS, Tsinghua University, Beijing 100084, People's Republic of China"],"raw_orcid":"https://orcid.org/0000-0002-2076-3940","affiliations":[{"raw_affiliation_string":"Center for Quantum Information, IIIS, Tsinghua University, Beijing 100084, People's Republic of China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101499317","display_name":"Yong Xu","orcid":"https://orcid.org/0000-0003-4946-6664","observed_orcids":["https://orcid.org/0000-0003-4946-6664","https://orcid.org/0000-0003-4440-7980"]},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Y. Xu","raw_affiliation_strings":["Center for Quantum Information, IIIS, Tsinghua University, Beijing 100084, People's Republic of China"],"raw_orcid":"https://orcid.org/0000-0003-4946-6664","affiliations":[{"raw_affiliation_string":"Center for Quantum Information, IIIS, Tsinghua University, Beijing 100084, People's Republic of China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034703407","display_name":"Luming Duan","orcid":"https://orcid.org/0000-0001-6675-9413","observed_orcids":["https://orcid.org/0000-0001-6675-9413"]},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"L.-M. Duan","raw_affiliation_strings":["Center for Quantum Information, IIIS, Tsinghua University, Beijing 100084, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Quantum Information, IIIS, Tsinghua University, Beijing 100084, People's Republic of China","institution_ids":["https://openalex.org/I99065089"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5034703407","https://openalex.org/A5101499317"],"corresponding_institution_ids":["https://openalex.org/I99065089"],"apc_list":{"value":3750,"currency":"USD","value_usd":3750},"apc_paid":null,"fwci":7.5636,"has_fulltext":true,"cited_by_count":116,"citation_normalized_percentile":{"value":0.9854393,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":100},"biblio":{"volume":"124","issue":"4","first_page":"043001","last_page":"043001"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11804","display_name":"Quantum many-body systems","score":0.8148999810218811,"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/T11804","display_name":"Quantum many-body systems","score":0.8148999810218811,"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/T10425","display_name":"Cold Atom Physics and Bose-Einstein Condensates","score":0.17820000648498535,"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/T10591","display_name":"Theoretical and Computational Physics","score":0.0007999999797903001,"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/dynamical-quantum-phase-transitions","display_name":"dynamical quantum phase transitions","score":0.9980000257492065},{"id":"https://openalex.org/keywords/spinor-bose-einstein-condensates","display_name":"spinor Bose-Einstein condensates","score":0.9160000085830688},{"id":"https://openalex.org/keywords/quench-dynamics","display_name":"quench dynamics","score":0.8930000066757202},{"id":"https://openalex.org/keywords/many-body-hamiltonian","display_name":"many-body Hamiltonian","score":0.6460000276565552}],"concepts":[{"id":"https://openalex.org/C72190298","wikidata":"https://www.wikidata.org/wiki/Q2118253","display_name":"Quantum phase transition","level":3,"score":0.8599148988723755},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.7883691191673279},{"id":"https://openalex.org/C85906118","wikidata":"https://www.wikidata.org/wiki/Q186693","display_name":"Phase diagram","level":3,"score":0.6624644994735718},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.6487942934036255},{"id":"https://openalex.org/C69523127","wikidata":"https://www.wikidata.org/wiki/Q4480008","display_name":"Ground state","level":2,"score":0.6332616806030273},{"id":"https://openalex.org/C146366752","wikidata":"https://www.wikidata.org/wiki/Q7269030","display_name":"Quantum critical point","level":4,"score":0.6166044473648071},{"id":"https://openalex.org/C80891386","wikidata":"https://www.wikidata.org/wiki/Q7269084","display_name":"Quantum phases","level":4,"score":0.606252133846283},{"id":"https://openalex.org/C181500209","wikidata":"https://www.wikidata.org/wiki/Q215328","display_name":"Excited state","level":2,"score":0.6046011447906494},{"id":"https://openalex.org/C149288129","wikidata":"https://www.wikidata.org/wiki/Q185357","display_name":"Phase transition","level":2,"score":0.5925447940826416},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.5014069080352783},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.47580844163894653},{"id":"https://openalex.org/C32546565","wikidata":"https://www.wikidata.org/wiki/Q856711","display_name":"Magnetization","level":3,"score":0.4694133698940277},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.46654248237609863},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.4143102467060089},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.31877461075782776},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.0},{"id":"https://openalex.org/C115260700","wikidata":"https://www.wikidata.org/wiki/Q11408","display_name":"Magnetic field","level":2,"score":0.0},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1103/physrevlett.124.043001","doi":"https://doi.org/10.1103/physrevlett.124.043001","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physrevlett.124.043001","pdf_url":null,"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:32058743","doi":null,"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/32058743","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:2001.02686","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2001.02686","pdf_url":"https://arxiv.org/pdf/2001.02686","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":"doi:10.48550/arxiv.2001.02686","doi":"https://doi.org/10.48550/arxiv.2001.02686","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2001.02686","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":"pmh:oai:arXiv.org:2001.02686","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2001.02686","pdf_url":"https://arxiv.org/pdf/2001.02686","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"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G1422208548","display_name":null,"funder_award_id":"2016YFA0301902","funder_id":"https://openalex.org/F4320322392","funder_display_name":"Tsinghua University"},{"id":"https://openalex.org/G1817688344","display_name":null,"funder_award_id":"2016YFA0301902","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3139766861","display_name":"\u8d85\u51b7\u539f\u5b50\u6c14\u4f53\u4e2d\u9ad8\u9636\u62d3\u6251\u91cf\u5b50\u7269\u6001\u7684\u7406\u8bba\u7814\u7a76","funder_award_id":"11974201","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3303285241","display_name":null,"funder_award_id":"2016YFA0301902","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G8420655531","display_name":null,"funder_award_id":"2016YFA0301902","funder_id":"https://openalex.org/F4320321106","funder_display_name":"Ministry of Education of the People's Republic 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/F4320321106","display_name":"Ministry of Education of the People's Republic of China","ror":"https://ror.org/01mv9t934"},{"id":"https://openalex.org/F4320322392","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549"},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null},{"id":"https://openalex.org/F4320337073","display_name":"Frontier Science Center for Quantum Information of the Ministry of Education of China","ror":"https://ror.org/03w7b4p86"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3000466974.pdf","grobid_xml":"https://content.openalex.org/works/W3000466974.grobid-xml"},"referenced_works_count":53,"referenced_works":["https://openalex.org/W1183787498","https://openalex.org/W1575867504","https://openalex.org/W1640265140","https://openalex.org/W1965778092","https://openalex.org/W1990788392","https://openalex.org/W1995390360","https://openalex.org/W1999691527","https://openalex.org/W2003845158","https://openalex.org/W2004746661","https://openalex.org/W2020362847","https://openalex.org/W2033245409","https://openalex.org/W2041038196","https://openalex.org/W2046180790","https://openalex.org/W2051948253","https://openalex.org/W2052486040","https://openalex.org/W2064990535","https://openalex.org/W2078514379","https://openalex.org/W2081255528","https://openalex.org/W2090454908","https://openalex.org/W2091837039","https://openalex.org/W2092818865","https://openalex.org/W2096870234","https://openalex.org/W2100359709","https://openalex.org/W2103177113","https://openalex.org/W2108590793","https://openalex.org/W2117302137","https://openalex.org/W2133452478","https://openalex.org/W2148120842","https://openalex.org/W2167801835","https://openalex.org/W2211230365","https://openalex.org/W2262304148","https://openalex.org/W2327438773","https://openalex.org/W2347171175","https://openalex.org/W2523762989","https://openalex.org/W2540688686","https://openalex.org/W2560668346","https://openalex.org/W2595937684","https://openalex.org/W2735457220","https://openalex.org/W2735550185","https://openalex.org/W2744305830","https://openalex.org/W2756217366","https://openalex.org/W2757497522","https://openalex.org/W2763431854","https://openalex.org/W2798761754","https://openalex.org/W2809755566","https://openalex.org/W2886204452","https://openalex.org/W2903978899","https://openalex.org/W2905867375","https://openalex.org/W2959065799","https://openalex.org/W2965275013","https://openalex.org/W2971774177","https://openalex.org/W2972931927","https://openalex.org/W3098518900"],"related_works":["https://openalex.org/W2959065799","https://openalex.org/W4321505367","https://openalex.org/W3012509533","https://openalex.org/W2746423395","https://openalex.org/W4319593563","https://openalex.org/W2964097474","https://openalex.org/W2757497522","https://openalex.org/W2595937684","https://openalex.org/W4221146703","https://openalex.org/W4409485383"],"abstract_inverted_index":{"Dynamical":[0],"quantum":[1,9,24],"phase":[2,10,25,37,70,87,112,120,142],"transitions":[3,11,113,143],"are":[4],"closely":[5],"related":[6],"to":[7,57,118,147],"equilibrium":[8],"for":[12,72,90,114,139],"ground":[13,42,74],"states.":[14],"Here,":[15],"we":[16],"report":[17],"an":[18,34],"experimental":[19],"observation":[20],"of":[21,40,67,102,110,122,154],"a":[22,28,52,58,68,79,86,96,103,137,145],"dynamical":[23,111,141],"transition":[26,71,88,121],"in":[27,33,60,64,95,127],"spinor":[29],"condensate":[30],"with":[31,55,98,130],"correspondence":[32],"excited":[35],"state":[36,43,75],"diagram,":[38],"instead":[39],"the":[41,48,61,65,73,91,108,119,123,128,131],"one.":[44],"We":[45,77,105],"observe":[46],"that":[47],"quench":[49],"dynamics":[50],"exhibits":[51],"nonanalytical":[53],"change":[54],"respect":[56],"parameter":[59],"final":[62],"Hamiltonian":[63],"absence":[66],"corresponding":[69,117],"there.":[76],"make":[78],"connection":[80],"between":[81],"this":[82],"singular":[83],"point":[84,89],"and":[85],"highest":[92,124],"energy":[93,125,152],"level":[94,126],"subspace":[97,129],"zero":[99],"spin":[100],"magnetization":[101,116],"Hamiltonian.":[104],"further":[106],"show":[107],"existence":[109],"finite":[115],"same":[132],"magnetization.":[133],"Our":[134],"results":[135],"open":[136],"door":[138],"using":[140],"as":[144],"tool":[146],"probe":[148],"physics":[149],"at":[150],"higher":[151],"eigenlevels":[153],"many-body":[155],"Hamiltonians.":[156]},"counts_by_year":[{"year":2026,"cited_by_count":16},{"year":2025,"cited_by_count":12},{"year":2024,"cited_by_count":14},{"year":2023,"cited_by_count":23},{"year":2022,"cited_by_count":11},{"year":2021,"cited_by_count":34},{"year":2020,"cited_by_count":6}],"updated_date":"2026-11-11T12:16:26.678958","created_date":"2020-01-23T00:00:00"}