{"id":"https://openalex.org/W2071387635","doi":"https://doi.org/10.1103/physrevb.75.014439","title":"Quantum phase transitions and quantum fidelity in free fermion graphs","display_name":"Quantum phase transitions and quantum fidelity in free fermion graphs","publication_year":2007,"publication_date":"2007-01-29","ids":{"openalex":"https://openalex.org/W2071387635","doi":"https://doi.org/10.1103/physrevb.75.014439","mag":"2071387635"},"language":"en","primary_location":{"id":"doi:10.1103/physrevb.75.014439","doi":"https://doi.org/10.1103/physrevb.75.014439","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physrevb.75.014439","pdf_url":null,"source":{"id":"https://openalex.org/S6791298","display_name":"Physical Review B","issn_l":"1098-0121","issn":["1098-0121","1538-4489","1550-235X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","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/quant-ph/0608059","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5018110379","display_name":"Marco Cozzini","orcid":"https://orcid.org/0000-0003-2773-5771","observed_orcids":["https://orcid.org/0000-0003-2773-5771"]},"institutions":[{"id":"https://openalex.org/I134940468","display_name":"Institute for Scientific Interchange","ror":"https://ror.org/00te2x188","country_code":"IT","type":"facility","lineage":["https://openalex.org/I134940468"]},{"id":"https://openalex.org/I177477856","display_name":"Politecnico di Torino","ror":"https://ror.org/00bgk9508","country_code":"IT","type":"education","lineage":["https://openalex.org/I177477856"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Marco Cozzini","raw_affiliation_strings":["Dipartimento di Fisica, Politecnico di Torino, Corso Duca degli Abruzzi 24, I-10129 Torino, Italy","Institute for Scientific Interchange, Villa Gualino, Viale Settimio Severo 65, I-10133 Torino, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Fisica, Politecnico di Torino, Corso Duca degli Abruzzi 24, I-10129 Torino, Italy","institution_ids":["https://openalex.org/I177477856"]},{"raw_affiliation_string":"Institute for Scientific Interchange, Villa Gualino, Viale Settimio Severo 65, I-10133 Torino, Italy","institution_ids":["https://openalex.org/I134940468"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039353696","display_name":"Paolo Giorda","orcid":"https://orcid.org/0000-0001-6340-3024","observed_orcids":["https://orcid.org/0000-0001-6340-3024"]},"institutions":[{"id":"https://openalex.org/I134940468","display_name":"Institute for Scientific Interchange","ror":"https://ror.org/00te2x188","country_code":"IT","type":"facility","lineage":["https://openalex.org/I134940468"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Paolo Giorda","raw_affiliation_strings":["Institute for Scientific Interchange, Villa Gualino, Viale Settimio Severo 65, I-10133 Torino, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Scientific Interchange, Villa Gualino, Viale Settimio Severo 65, I-10133 Torino, Italy","institution_ids":["https://openalex.org/I134940468"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019531261","display_name":"Paolo Zanardi","orcid":"https://orcid.org/0009-0002-6747-8896","observed_orcids":["https://orcid.org/0009-0002-6747-8896"]},"institutions":[{"id":"https://openalex.org/I134940468","display_name":"Institute for Scientific Interchange","ror":"https://ror.org/00te2x188","country_code":"IT","type":"facility","lineage":["https://openalex.org/I134940468"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Paolo Zanardi","raw_affiliation_strings":["Institute for Scientific Interchange, Villa Gualino, Viale Settimio Severo 65, I-10133 Torino, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Scientific Interchange, Villa Gualino, Viale Settimio Severo 65, I-10133 Torino, Italy","institution_ids":["https://openalex.org/I134940468"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2675,"currency":"USD","value_usd":2675},"apc_paid":null,"fwci":12.3173,"has_fulltext":true,"cited_by_count":153,"citation_normalized_percentile":{"value":0.99267464,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":93,"max":99},"biblio":{"volume":"75","issue":"1","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":0.9994999766349792,"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":0.9994999766349792,"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":0.00019999999494757503,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","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/quantum-phase-transitions","display_name":"quantum phase transitions","score":0.968999981880188},{"id":"https://openalex.org/keywords/quantum-fidelity","display_name":"quantum fidelity","score":0.9570000171661377},{"id":"https://openalex.org/keywords/free-fermion-systems","display_name":"free fermion systems","score":0.7990000247955322},{"id":"https://openalex.org/keywords/jordan-wigner-transformation","display_name":"Jordan-Wigner transformation","score":0.8669999837875366},{"id":"https://openalex.org/keywords/xy-spin-chain","display_name":"XY spin chain","score":0.9509999752044678},{"id":"https://openalex.org/keywords/circulant-matrices","display_name":"circulant matrices","score":0.7620000243186951},{"id":"https://openalex.org/keywords/complete-graphs","display_name":"complete graphs","score":0.6069999933242798},{"id":"https://openalex.org/keywords/long-range-coupling","display_name":"long-range coupling","score":0.7590000033378601},{"id":"https://openalex.org/keywords/single-particle-spectra","display_name":"single-particle spectra","score":0.7390000224113464},{"id":"https://openalex.org/keywords/finite-size-scaling","display_name":"finite-size scaling","score":0.8360000252723694},{"id":"https://openalex.org/keywords/thermodynamic-limit","display_name":"thermodynamic limit","score":0.8849999904632568}],"concepts":[{"id":"https://openalex.org/C72190298","wikidata":"https://www.wikidata.org/wiki/Q2118253","display_name":"Quantum phase transition","level":3,"score":0.6657622456550598},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.6250738501548767},{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.6116499900817871},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.608925461769104},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.5306543111801147},{"id":"https://openalex.org/C52233224","wikidata":"https://www.wikidata.org/wiki/Q44363","display_name":"Fermion","level":2,"score":0.47011247277259827},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.4607589840888977},{"id":"https://openalex.org/C166124518","wikidata":"https://www.wikidata.org/wiki/Q1047702","display_name":"Renormalization","level":2,"score":0.44359007477760315},{"id":"https://openalex.org/C69523127","wikidata":"https://www.wikidata.org/wiki/Q4480008","display_name":"Ground state","level":2,"score":0.4346122145652771},{"id":"https://openalex.org/C68532491","wikidata":"https://www.wikidata.org/wiki/Q1203669","display_name":"Renormalization group","level":2,"score":0.4308122992515564},{"id":"https://openalex.org/C29547527","wikidata":"https://www.wikidata.org/wiki/Q5259335","display_name":"Density matrix renormalization group","level":3,"score":0.4205252230167389},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3616940975189209},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24500951170921326},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1103/physrevb.75.014439","doi":"https://doi.org/10.1103/physrevb.75.014439","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physrevb.75.014439","pdf_url":null,"source":{"id":"https://openalex.org/S6791298","display_name":"Physical Review B","issn_l":"1098-0121","issn":["1098-0121","1538-4489","1550-235X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","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:quant-ph/0608059","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/quant-ph/0608059","pdf_url":"https://arxiv.org/pdf/quant-ph/0608059","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:cds.cern.ch:977011","doi":null,"is_oa":false,"landing_page_url":"http://cds.cern.ch/record/977011","pdf_url":null,"source":{"id":"https://openalex.org/S4306402195","display_name":"CERN Document Server (European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},{"id":"doi:10.48550/arxiv.quant-ph/0608059","doi":"https://doi.org/10.48550/arxiv.quant-ph/0608059","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.quant-ph/0608059","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:quant-ph/0608059","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/quant-ph/0608059","pdf_url":"https://arxiv.org/pdf/quant-ph/0608059","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":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2071387635.pdf","grobid_xml":"https://content.openalex.org/works/W2071387635.grobid-xml"},"referenced_works_count":28,"referenced_works":["https://openalex.org/W391578156","https://openalex.org/W1542475302","https://openalex.org/W1610274090","https://openalex.org/W1964703551","https://openalex.org/W1971614498","https://openalex.org/W1973324548","https://openalex.org/W1975613222","https://openalex.org/W1990516747","https://openalex.org/W1994645482","https://openalex.org/W2002598418","https://openalex.org/W2012002860","https://openalex.org/W2020774556","https://openalex.org/W2026740143","https://openalex.org/W2028060655","https://openalex.org/W2039714816","https://openalex.org/W2049850761","https://openalex.org/W2050368830","https://openalex.org/W2055253753","https://openalex.org/W2068840688","https://openalex.org/W2078111918","https://openalex.org/W2078687688","https://openalex.org/W2081202338","https://openalex.org/W2095019046","https://openalex.org/W2105614108","https://openalex.org/W2132190099","https://openalex.org/W2137748572","https://openalex.org/W2139262393","https://openalex.org/W4255333822"],"related_works":["https://openalex.org/W2049272073","https://openalex.org/W2045103321","https://openalex.org/W2078804792","https://openalex.org/W3039363125","https://openalex.org/W2040910142","https://openalex.org/W2118676987","https://openalex.org/W2811301664","https://openalex.org/W2962882142","https://openalex.org/W2027021635","https://openalex.org/W2095531551"],"abstract_inverted_index":{"In":[0,84],"this":[1],"paper":[2],"we":[3,86],"analyze":[4],"the":[5,18,37,42,47,51,64,67,72,89,103,109,114,120,140,144],"ground-state":[6],"phase":[7,117],"diagram":[8],"of":[9,12,20,41,50,66,113,119,143],"a":[10,56,94,134],"class":[11],"fermionic":[13,43],"Hamiltonians":[14,30],"by":[15,46],"looking":[16],"at":[17],"fidelity":[19,126,151],"ground":[21],"states":[22],"corresponding":[23,92],"to":[24,93,139],"slightly":[25],"different":[26],"Hamiltonian":[27,44],"parameters.":[28],"The":[29],"under":[31],"investigation":[32],"can":[33],"be":[34],"considered":[35],"as":[36,106,108],"variable":[38],"range":[39],"generalization":[40],"obtained":[45],"Jordan-Wigner":[48],"transformation":[49],"$XY$":[52],"spin":[53],"chain":[54],"in":[55,102],"transverse":[57],"magnetic":[58],"field.":[59],"Under":[60],"periodic":[61],"boundary":[62],"conditions,":[63],"matrices":[65],"problem":[68],"become":[69],"circulant":[70],"and":[71,127,133,152],"models":[73],"are":[74,80],"exactly":[75],"solvable.":[76],"Their":[77],"free-ends":[78],"counterparts":[79],"instead":[81],"analyzed":[82],"numerically.":[83],"particular,":[85],"focus":[87],"on":[88],"long-range":[90,141],"model":[91],"fully":[95],"connected":[96],"directed":[97],"graph,":[98],"providing":[99],"asymptotic":[100],"results":[101],"thermodynamic":[104],"limit,":[105],"well":[107],"finite-size":[110],"scaling":[111],"analysis":[112],"second-order":[115],"quantum":[116,158],"transitions":[118],"system.":[121],"A":[122,148],"strict":[123],"relation":[124],"between":[125,150],"single":[128,161],"particle":[129],"spectrum":[130],"is":[131,146,164],"demonstrated,":[132],"peculiar":[135],"gapful":[136],"transition":[137,154],"due":[138],"nature":[142],"coupling":[145],"found.":[147],"comparison":[149],"another":[153],"marker":[155],"borrowed":[156],"from":[157],"information,":[159],"i.e.,":[160],"site":[162],"entanglement,":[163],"also":[165],"considered.":[166]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":9},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":10},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":5}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2016-06-24T00:00:00"}
