{"id":"https://openalex.org/W4407911029","doi":"https://doi.org/10.1103/physrevb.111.l060304","title":"Strong-to-weak symmetry breaking and entanglement transitions","display_name":"Strong-to-weak symmetry breaking and entanglement transitions","publication_year":2025,"publication_date":"2025-02-25","ids":{"openalex":"https://openalex.org/W4407911029","doi":"https://doi.org/10.1103/physrevb.111.l060304"},"language":"en","primary_location":{"id":"doi:10.1103/physrevb.111.l060304","doi":"https://doi.org/10.1103/physrevb.111.l060304","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physrevb.111.l060304","pdf_url":null,"source":{"id":"https://openalex.org/S4210237713","display_name":"Physical review. B./Physical review. B","issn_l":"2469-9950","issn":["2469-9950","2469-9969","2469-9977"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-a","jufo-2","norway-2","poland-140","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 B","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2411.05364","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5083903200","display_name":"Langxuan Chen","orcid":"https://orcid.org/0009-0004-4919-1714","observed_orcids":["https://orcid.org/0009-0004-4919-1714"]},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Langxuan Chen","raw_affiliation_strings":["Xi'an Jiaotong University"],"raw_orcid":"https://orcid.org/0009-0004-4919-1714","affiliations":[{"raw_affiliation_string":"Xi'an Jiaotong University","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078023519","display_name":"Ning G. Sun","orcid":"https://orcid.org/0000-0002-9791-1155","observed_orcids":["https://orcid.org/0000-0002-9791-1155"]},"institutions":[{"id":"https://openalex.org/I24943067","display_name":"Fudan University","ror":"https://ror.org/013q1eq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I24943067"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ning Sun","raw_affiliation_strings":["Fudan University"],"raw_orcid":"https://orcid.org/0000-0002-9791-1155","affiliations":[{"raw_affiliation_string":"Fudan University","institution_ids":["https://openalex.org/I24943067"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027157628","display_name":"Pengfei Zhang","orcid":"https://orcid.org/0000-0002-7408-0918","observed_orcids":["https://orcid.org/0000-0002-7408-0918"]},"institutions":[{"id":"https://openalex.org/I24943067","display_name":"Fudan University","ror":"https://ror.org/013q1eq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I24943067"]},{"id":"https://openalex.org/I4405259049","display_name":"Shanghai Qi Zhi Institute","ror":"https://ror.org/01n14yn69","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4405259049"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Pengfei Zhang","raw_affiliation_strings":["Fudan University","Hefei National Laboratory","Shanghai Qi Zhi Institute"],"raw_orcid":"https://orcid.org/0000-0002-7408-0918","affiliations":[{"raw_affiliation_string":"Fudan University","institution_ids":["https://openalex.org/I24943067"]},{"raw_affiliation_string":"Hefei National Laboratory","institution_ids":[]},{"raw_affiliation_string":"Shanghai Qi Zhi Institute","institution_ids":["https://openalex.org/I4405259049"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5083903200"],"corresponding_institution_ids":["https://openalex.org/I87445476"],"apc_list":null,"apc_paid":null,"fwci":4.0871,"has_fulltext":true,"cited_by_count":15,"citation_normalized_percentile":{"value":0.95089606,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":99},"biblio":{"volume":"111","issue":"6","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11804","display_name":"Quantum many-body systems","score":0.9984999895095825,"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":0.9984999895095825,"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":0.00019999999494757503,"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/T10622","display_name":"Quantum Mechanics and Applications","score":9.999999747378752e-05,"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/entanglement-phase-transition","display_name":"entanglement transition","score":0.8289999961853027},{"id":"https://openalex.org/keywords/spontaneous-symmetry-breaking","display_name":"spontaneous symmetry breaking","score":0.8679999709129333},{"id":"https://openalex.org/keywords/sachdev-ye-kitaev-model","display_name":"Sachdev-Ye-Kitaev model","score":0.9110000133514404},{"id":"https://openalex.org/keywords/first-order-phase-transition","display_name":"first-order phase transition","score":0.5669999718666077},{"id":"https://openalex.org/keywords/open-quantum-systems","display_name":"open quantum systems","score":0.6520000100135803},{"id":"https://openalex.org/keywords/saddle-points","display_name":"saddle points","score":0.3840000033378601},{"id":"https://openalex.org/keywords/repeated-measures","display_name":"repeated measures","score":0.46299999952316284}],"concepts":[{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.7738431692123413},{"id":"https://openalex.org/C204795200","wikidata":"https://www.wikidata.org/wiki/Q903282","display_name":"Symmetry breaking","level":2,"score":0.7212240695953369},{"id":"https://openalex.org/C125881977","wikidata":"https://www.wikidata.org/wiki/Q736716","display_name":"Spontaneous symmetry breaking","level":3,"score":0.5344468951225281},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.510456919670105},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.49907946586608887},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.4441041946411133},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.37019026279449463},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.22412613034248352},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.15896502137184143},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.09265294671058655}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1103/physrevb.111.l060304","doi":"https://doi.org/10.1103/physrevb.111.l060304","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physrevb.111.l060304","pdf_url":null,"source":{"id":"https://openalex.org/S4210237713","display_name":"Physical review. B./Physical review. B","issn_l":"2469-9950","issn":["2469-9950","2469-9969","2469-9977"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-a","jufo-2","norway-2","poland-140","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 B","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2411.05364","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2411.05364","pdf_url":"https://arxiv.org/pdf/2411.05364","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2411.05364","doi":"https://doi.org/10.48550/arxiv.2411.05364","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2411.05364","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2411.05364","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2411.05364","pdf_url":"https://arxiv.org/pdf/2411.05364","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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/G235407938","display_name":null,"funder_award_id":"12374477","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2963239099","display_name":null,"funder_award_id":"24QA2700300","funder_id":"https://openalex.org/F4320327803","funder_display_name":"Shanghai Rising-Star Program"},{"id":"https://openalex.org/G6448666927","display_name":null,"funder_award_id":"2024ZD0300101","funder_id":"https://openalex.org/F4320335366","funder_display_name":"National Center of Competence in Research Quantum Science and Technology"}],"funders":[{"id":"https://openalex.org/F4320314997","display_name":"Strong","ror":"https://ror.org/041vyzr56"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320327803","display_name":"Shanghai Rising-Star Program","ror":null},{"id":"https://openalex.org/F4320335366","display_name":"National Center of Competence in Research Quantum Science and Technology","ror":"https://ror.org/0064crs54"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4407911029.pdf","grobid_xml":"https://content.openalex.org/works/W4407911029.grobid-xml"},"referenced_works_count":83,"referenced_works":["https://openalex.org/W1897587884","https://openalex.org/W2090386790","https://openalex.org/W2344612405","https://openalex.org/W2769687921","https://openalex.org/W2781738013","https://openalex.org/W2799031278","https://openalex.org/W2886483748","https://openalex.org/W2886712022","https://openalex.org/W2888053895","https://openalex.org/W2889426946","https://openalex.org/W2902765729","https://openalex.org/W2903276834","https://openalex.org/W2913031193","https://openalex.org/W2921570869","https://openalex.org/W2945488351","https://openalex.org/W2949570027","https://openalex.org/W2952330581","https://openalex.org/W2967300259","https://openalex.org/W2969894439","https://openalex.org/W2978441059","https://openalex.org/W2981489700","https://openalex.org/W2982504672","https://openalex.org/W2986209554","https://openalex.org/W2991362355","https://openalex.org/W2991561483","https://openalex.org/W3005437076","https://openalex.org/W3013298455","https://openalex.org/W3013626478","https://openalex.org/W3019752491","https://openalex.org/W3034487792","https://openalex.org/W3043723517","https://openalex.org/W3045005889","https://openalex.org/W3080693421","https://openalex.org/W3084021897","https://openalex.org/W3103420940","https://openalex.org/W3103655511","https://openalex.org/W3105139641","https://openalex.org/W3105222928","https://openalex.org/W3105250380","https://openalex.org/W3117010896","https://openalex.org/W3129404680","https://openalex.org/W3162645590","https://openalex.org/W3192317669","https://openalex.org/W3202790587","https://openalex.org/W3213491252","https://openalex.org/W4200629850","https://openalex.org/W4224981245","https://openalex.org/W4225259930","https://openalex.org/W4283739184","https://openalex.org/W4292210489","https://openalex.org/W4292648765","https://openalex.org/W4311243018","https://openalex.org/W4367054051","https://openalex.org/W4367856865","https://openalex.org/W4381382824","https://openalex.org/W4385543775","https://openalex.org/W4385576694","https://openalex.org/W4386977003","https://openalex.org/W4387517741","https://openalex.org/W4387542025","https://openalex.org/W4388900249","https://openalex.org/W4389132689","https://openalex.org/W4389135760","https://openalex.org/W4389373471","https://openalex.org/W4391654531","https://openalex.org/W4400186759","https://openalex.org/W4400841138","https://openalex.org/W4402641653","https://openalex.org/W4403244135","https://openalex.org/W4403683487","https://openalex.org/W4403789504","https://openalex.org/W4404345908","https://openalex.org/W4404757818","https://openalex.org/W4404959096","https://openalex.org/W4408189470","https://openalex.org/W4408505232","https://openalex.org/W4408661598","https://openalex.org/W4409473910","https://openalex.org/W4409476922","https://openalex.org/W4410302829","https://openalex.org/W4411959034","https://openalex.org/W4414473421","https://openalex.org/W4417178184"],"related_works":["https://openalex.org/W4403564598","https://openalex.org/W4413812237","https://openalex.org/W7164902562","https://openalex.org/W4408189470","https://openalex.org/W7126169113","https://openalex.org/W7172297769","https://openalex.org/W7215879498","https://openalex.org/W7162755665","https://openalex.org/W4415261974","https://openalex.org/W2007426522"],"abstract_inverted_index":{"When":[0],"interacting":[1],"with":[2,25,62,201],"an":[3],"environment,":[4],"the":[5,15,18,21,40,45,48,101,105,123,133,145,152,157,162,176,188],"entanglement":[6,16,37,102,189],"within":[7],"quantum":[8],"many-body":[9],"systems":[10,24,200],"is":[11,83],"rapidly":[12],"transferred":[13],"to":[14,34,77,142,156,199],"between":[17,166],"system":[19],"and":[20,125,170,194],"bath.":[22],"For":[23],"a":[26,35,55,68,78,87,92,137,140,167,171,179],"large":[27],"local":[28],"Hilbert":[29],"space":[30],"dimension,":[31],"this":[32,97],"leads":[33],"first-order":[36,163],"transition":[38,103,138,164,190],"for":[39,58,121],"reduced":[41],"density":[42,60,71],"matrix":[43,72],"of":[44,107,178],"system.":[46],"On":[47],"other":[49],"hand,":[50],"recent":[51],"studies":[52],"have":[53],"introduced":[54],"new":[56],"paradigm":[57],"classifying":[59],"matrices,":[61],"particular":[63],"focus":[64],"on":[65,187],"scenarios":[66],"where":[67],"strongly":[69],"symmetric":[70,141],"undergoes":[73],"spontaneous":[74],"symmetry":[75,80,109,192],"breaking":[76],"weak":[79],"phase.":[81],"This":[82],"typically":[84],"characterized":[85],"by":[86],"finite":[88,93,149],"R\\'enyi-2":[89,134],"correlator":[90,135,147],"or":[91],"Wightman":[94,146,180],"correlator.":[95,181],"In":[96],"Letter,":[98],"we":[99],"study":[100],"from":[104,139],"perspective":[106],"strong-to-weak":[108],"breaking,":[110],"using":[111],"solvable":[112],"complex":[113],"Brownian":[114],"Sachdev-Ye-Kitaev":[115],"models.":[116],"We":[117],"perform":[118],"analytical":[119],"calculations":[120],"both":[122],"early-time":[124,153],"late-time":[126],"saddles.":[127],"The":[128],"results":[129,183],"show":[130],"that":[131,161],"while":[132],"indicates":[136],"symmetry-broken":[143,173],"phase,":[144],"becomes":[148],"even":[150],"in":[151,175],"saddle":[154],"due":[155],"single-replica":[158],"limit,":[159],"demonstrating":[160],"occurs":[165],"near-symmetric":[168],"phase":[169,174],"deeply":[172],"sense":[177],"Our":[182],"provide":[184],"another":[185],"viewpoint":[186],"under":[191],"constraints":[193],"can":[195],"be":[196],"readily":[197],"generalized":[198],"repeated":[202],"measurements.":[203]},"counts_by_year":[{"year":2026,"cited_by_count":7},{"year":2025,"cited_by_count":8}],"updated_date":"2026-11-10T11:39:43.021295","created_date":"2025-02-26T00:00:00"}
