{"id":"https://openalex.org/W3195266585","doi":"https://doi.org/10.22331/q-2022-04-27-701","title":"Eigenstate entanglement in integrable collective spin models","display_name":"Eigenstate entanglement in integrable collective spin models","publication_year":2022,"publication_date":"2022-04-27","ids":{"openalex":"https://openalex.org/W3195266585","doi":"https://doi.org/10.22331/q-2022-04-27-701","mag":"3195266585"},"language":"en","primary_location":{"id":"doi:10.22331/q-2022-04-27-701","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2022-04-27-701","pdf_url":"https://quantum-journal.org/papers/q-2022-04-27-701/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":"preprint","indexed_in":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://quantum-journal.org/papers/q-2022-04-27-701/pdf/","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5042603840","display_name":"Meenu Kumari","orcid":"https://orcid.org/0000-0003-0949-3844"},"institutions":[{"id":"https://openalex.org/I183974707","display_name":"Perimeter Institute","ror":"https://ror.org/013m0ej23","country_code":"CA","type":"facility","lineage":["https://openalex.org/I183974707"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Meenu Kumari","raw_affiliation_strings":["Perimeter Institute for Theoretical Physics, Waterloo, ON N2L 2Y5, Canada","Perimeter Institute for Theoretical Physics"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Perimeter Institute for Theoretical Physics, Waterloo, ON N2L 2Y5, Canada","institution_ids":["https://openalex.org/I183974707"]},{"raw_affiliation_string":"Perimeter Institute for Theoretical Physics","institution_ids":["https://openalex.org/I183974707"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085188489","display_name":"\u00c1lvaro M. Alhambra","orcid":"https://orcid.org/0000-0002-5889-4022"},"institutions":[{"id":"https://openalex.org/I4210120293","display_name":"Max Planck Institute of Quantum Optics","ror":"https://ror.org/01vekys64","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210120293"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"\u00c1lvaro M. Alhambra","raw_affiliation_strings":["Max-Planck-Institut fur Quantenoptik, D-85748 Garching, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Max-Planck-Institut fur Quantenoptik, D-85748 Garching, Germany","institution_ids":["https://openalex.org/I4210120293"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":200,"currency":"EUR","value_usd":215},"apc_paid":{"value":200,"currency":"EUR","value_usd":215},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00524598,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"6","issue":null,"first_page":"701","last_page":"701"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11804","display_name":"Quantum many-body systems","score":0.9995999932289124,"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":0.9995999932289124,"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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12611","display_name":"Neural Networks and Reservoir Computing","score":0.9965999722480774,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/thermodynamic-limit","display_name":"Thermodynamic limit","score":0.7555203437805176},{"id":"https://openalex.org/keywords/integrable-system","display_name":"Integrable system","score":0.743938684463501},{"id":"https://openalex.org/keywords/quantum-entanglement","display_name":"Quantum entanglement","score":0.7348392605781555},{"id":"https://openalex.org/keywords/spins","display_name":"Spins","score":0.6835692524909973},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.6530407071113586},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.5819029808044434},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.5416515469551086},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.4817776381969452},{"id":"https://openalex.org/keywords/spin","display_name":"Spin (aerodynamics)","score":0.47206738591194153},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.47002577781677246},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.4691639840602875},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.45357003808021545},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.43556761741638184},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.4306970238685608},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.395182728767395},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.34548431634902954},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13594543933868408},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.10156914591789246},{"id":"https://openalex.org/keywords/condensed-matter-physics","display_name":"Condensed matter physics","score":0.07038915157318115}],"concepts":[{"id":"https://openalex.org/C54021167","wikidata":"https://www.wikidata.org/wiki/Q1103484","display_name":"Thermodynamic limit","level":2,"score":0.7555203437805176},{"id":"https://openalex.org/C200741047","wikidata":"https://www.wikidata.org/wiki/Q1957758","display_name":"Integrable system","level":2,"score":0.743938684463501},{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.7348392605781555},{"id":"https://openalex.org/C2778870898","wikidata":"https://www.wikidata.org/wiki/Q7577658","display_name":"Spins","level":2,"score":0.6835692524909973},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.6530407071113586},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5819029808044434},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.5416515469551086},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.4817776381969452},{"id":"https://openalex.org/C42704618","wikidata":"https://www.wikidata.org/wiki/Q910917","display_name":"Spin (aerodynamics)","level":2,"score":0.47206738591194153},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.47002577781677246},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.4691639840602875},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.45357003808021545},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.43556761741638184},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.4306970238685608},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.395182728767395},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34548431634902954},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13594543933868408},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.10156914591789246},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.07038915157318115},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.22331/q-2022-04-27-701","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2022-04-27-701","pdf_url":"https://quantum-journal.org/papers/q-2022-04-27-701/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:arXiv.org:2108.09866","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2108.09866","pdf_url":"https://arxiv.org/pdf/2108.09866","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:3195266585","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2108.09866.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:doaj.org/article:da39ade6ce524e51b7d18e87c5630e74","is_oa":true,"landing_page_url":"https://doaj.org/article/da39ade6ce524e51b7d18e87c5630e74","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Quantum, Vol 6, p 701 (2022)","raw_type":"article"},{"id":"doi:10.48550/arxiv.2108.09866","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2108.09866","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"doi:10.22331/q-2022-04-27-701","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2022-04-27-701","pdf_url":"https://quantum-journal.org/papers/q-2022-04-27-701/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":[{"score":0.8500000238418579,"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320308269","display_name":"Alexander von Humboldt-Stiftung","ror":"https://ror.org/012kf4317"},{"id":"https://openalex.org/F4320319880","display_name":"Government of Canada","ror":"https://ror.org/010q4q527"},{"id":"https://openalex.org/F4320331462","display_name":"Institut P\u00e9rim\u00e8tre de physique th\u00e9orique","ror":"https://ror.org/013m0ej23"},{"id":"https://openalex.org/F4320331473","display_name":"Ministry of Colleges and Universities","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3195266585.pdf","grobid_xml":"https://content.openalex.org/works/W3195266585.grobid-xml"},"referenced_works_count":74,"referenced_works":["https://openalex.org/W132789698","https://openalex.org/W568489446","https://openalex.org/W1530042113","https://openalex.org/W1531036014","https://openalex.org/W1542475302","https://openalex.org/W1559425867","https://openalex.org/W1631356911","https://openalex.org/W1670510988","https://openalex.org/W1964846018","https://openalex.org/W1966542991","https://openalex.org/W1970684941","https://openalex.org/W1990516747","https://openalex.org/W1991394775","https://openalex.org/W1994703858","https://openalex.org/W1995999485","https://openalex.org/W1997421308","https://openalex.org/W2010199947","https://openalex.org/W2015819231","https://openalex.org/W2017154611","https://openalex.org/W2025639755","https://openalex.org/W2030859363","https://openalex.org/W2030913148","https://openalex.org/W2032819536","https://openalex.org/W2036346714","https://openalex.org/W2037155545","https://openalex.org/W2039227951","https://openalex.org/W2064158933","https://openalex.org/W2066336846","https://openalex.org/W2075367013","https://openalex.org/W2084725009","https://openalex.org/W2084806897","https://openalex.org/W2088505185","https://openalex.org/W2100212137","https://openalex.org/W2126479355","https://openalex.org/W2126511900","https://openalex.org/W2129442062","https://openalex.org/W2172981960","https://openalex.org/W2211018347","https://openalex.org/W2226804934","https://openalex.org/W2317586084","https://openalex.org/W2337269784","https://openalex.org/W2406099650","https://openalex.org/W2609606349","https://openalex.org/W2615155578","https://openalex.org/W2721227436","https://openalex.org/W2753161834","https://openalex.org/W2770060084","https://openalex.org/W2782031329","https://openalex.org/W2805090467","https://openalex.org/W2806691291","https://openalex.org/W2810419645","https://openalex.org/W2810624092","https://openalex.org/W2810701146","https://openalex.org/W2888208423","https://openalex.org/W2891986042","https://openalex.org/W2903736528","https://openalex.org/W2905094678","https://openalex.org/W2916139848","https://openalex.org/W2939424182","https://openalex.org/W2949338116","https://openalex.org/W2965758001","https://openalex.org/W2970610402","https://openalex.org/W2973960688","https://openalex.org/W2990961515","https://openalex.org/W3002514439","https://openalex.org/W3004369579","https://openalex.org/W3017465685","https://openalex.org/W3036260179","https://openalex.org/W3095225328","https://openalex.org/W3118380360","https://openalex.org/W3134678199","https://openalex.org/W3135721482","https://openalex.org/W3198336270","https://openalex.org/W4287022140"],"related_works":["https://openalex.org/W2069861918","https://openalex.org/W2998406173","https://openalex.org/W2973960688","https://openalex.org/W2944929618","https://openalex.org/W3103500071","https://openalex.org/W1994703858","https://openalex.org/W3157997639","https://openalex.org/W2905094678","https://openalex.org/W3093006182","https://openalex.org/W2605547309","https://openalex.org/W2129554822","https://openalex.org/W3133975785","https://openalex.org/W2266444624","https://openalex.org/W2291320242","https://openalex.org/W2949338116","https://openalex.org/W3152932113","https://openalex.org/W2138349424","https://openalex.org/W3200088951","https://openalex.org/W3102009033","https://openalex.org/W2602671154"],"abstract_inverted_index":{"The":[0,74],"average":[1,109,156,180],"entanglement":[2],"entropy":[3],"(EE)":[4],"of":[5,19,32,63,111,168,178,195],"the":[6,46,50,57,61,72,108,112,132,140,144,154,159,169,179,185,188],"energy":[7],"eigenstates":[8],"in":[9,21,45,60,71,84,131,143,158,187],"non-vanishing":[10,126],"partitions":[11],"has":[12],"been":[13],"recently":[14],"proposed":[15,58],"as":[16,49],"a":[17,29,41,80,88,176,193],"diagnostic":[18,59],"integrability":[20,53,102],"quantum":[22,33,38,101],"many-body":[23],"systems.":[24],"For":[25],"it":[26,35,135],"to":[27],"be":[28,192],"faithful":[30],"characterization":[31],"integrability,":[34],"should":[36],"distinguish":[37],"systems":[39],"with":[40,87],"well-defined":[42,89],"classical":[43,52,90],"limit":[44,161,190],"same":[47],"way":[48],"unequivocal":[51],"criteria.":[54],"We":[55],"examine":[56],"class":[62,86],"collective":[64],"spin":[65],"models":[66],"characterized":[67],"by":[68],"permutation":[69],"symmetry":[70],"spins.":[73],"well-known":[75],"Lipkin-Meshov-Glick":[76],"(LMG)":[77],"model":[78,94],"is":[79,95,162],"paradigmatic":[81],"integrable":[82],"system":[83],"this":[85,93],"limit.":[91],"Thus,":[92],"an":[96],"excellent":[97],"testbed":[98],"for":[99,164],"examining":[100],"diagnostics.":[103],"First,":[104],"we":[105,150],"calculate":[106],"analytically":[107],"EE":[110,142,157,181],"Dicke":[113],"basis<mml:math":[114],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mo":[115],"fence=\"false\"":[116,120,122],"stretchy=\"false\">{</mml:mo><mml:mrow":[117],"class=\"MJX-TeXAtom-ORD\"><mml:mo":[118],"stretchy=\"false\">|</mml:mo></mml:mrow><mml:mi>j</mml:mi><mml:mo>,</mml:mo><mml:mi>m</mml:mi><mml:mo":[119],"stretchy=\"false\">&amp;#x27E9;</mml:mo><mml:msubsup><mml:mo":[121],"stretchy=\"false\">}</mml:mo><mml:mrow":[123],"class=\"MJX-TeXAtom-ORD\"><mml:mi>m</mml:mi><mml:mo>=</mml:mo><mml:mo>&amp;#x2212;</mml:mo><mml:mi>j</mml:mi></mml:mrow><mml:mi>j</mml:mi></mml:msubsup></mml:math>in":[124],"any":[125],"bipartition,":[127],"and":[128],"show":[129],"that":[130,153],"thermodynamic":[133,160,189],"limit,":[134],"converges":[136],"to<mml:math":[137],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mn>1</mml:mn><mml:mrow":[138],"class=\"MJX-TeXAtom-ORD\"><mml:mo>/</mml:mo></mml:mrow><mml:mn>2</mml:mn></mml:math>of":[139],"maximal":[141,186],"corresponding":[145],"bipartition.":[146],"Using":[147],"finite-size":[148],"scaling,":[149],"numerically":[151],"demonstrate":[152],"aforementioned":[155],"universal":[163],"all":[165],"parameter":[166],"values":[167],"LMG":[170],"model.":[171],"Our":[172],"analysis":[173],"illustrates":[174],"how":[175],"value":[177],"far":[182],"away":[183],"from":[184],"could":[191],"signature":[194],"integrability.":[196]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}