{"id":"https://openalex.org/W7203827742","doi":"https://doi.org/10.1103/tgtd-3s4k","title":"Explicit proof of Anderson's orthogonality catastrophe for the one-dimensional Fermi polaron with attractive interaction","display_name":"Explicit proof of Anderson's orthogonality catastrophe for the one-dimensional Fermi polaron with attractive interaction","publication_year":2026,"publication_date":"2026-08-20","ids":{"openalex":"https://openalex.org/W7203827742","doi":"https://doi.org/10.1103/tgtd-3s4k"},"language":"en","primary_location":{"id":"doi:10.1103/tgtd-3s4k","doi":"https://doi.org/10.1103/tgtd-3s4k","is_oa":false,"landing_page_url":"https://doi.org/10.1103/tgtd-3s4k","pdf_url":null,"source":{"id":"https://openalex.org/S164566984","display_name":"Physical Review A","issn_l":"0556-2791","issn":["0556-2791","1050-2947","1094-1622","1538-4446","2469-9926","2469-9934","2469-9942"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-a","jufo-2","ki-jl-1","norway-2","poland-100","poland-70","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 A","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2604.12475","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5033089760","display_name":"Giuliano Orso","orcid":"https://orcid.org/0000-0002-0816-9084","observed_orcids":["https://orcid.org/0000-0002-0816-9084"]},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]},{"id":"https://openalex.org/I4210133036","display_name":"Laboratoire Mat\u00e9riaux et Ph\u00e9nom\u00e8nes Quantiques","ror":"https://ror.org/02p3et738","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I4210098836","https://openalex.org/I4210133036"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Giuliano Orso","raw_affiliation_strings":["CNRS","Laboratoire Mat\u00e9riaux et Ph\u00e9nom\u00e8nes Quantiques (MPQ)","Universit\u00e9 Paris Cit\u00e9"],"raw_orcid":"https://orcid.org/0000-0002-0816-9084","affiliations":[{"raw_affiliation_string":"CNRS","institution_ids":["https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Laboratoire Mat\u00e9riaux et Ph\u00e9nom\u00e8nes Quantiques (MPQ)","institution_ids":["https://openalex.org/I4210133036"]},{"raw_affiliation_string":"Universit\u00e9 Paris Cit\u00e9","institution_ids":["https://openalex.org/I204730241"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5033089760"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I4210133036"],"apc_list":{"value":2675,"currency":"USD","value_usd":2675},"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.58583201,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"114","issue":"3","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":0.7153000235557556,"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":0.7153000235557556,"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":0.2587999999523163,"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/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.003000000026077032,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/anderson-orthogonality-catastrophe","display_name":"Anderson orthogonality catastrophe","score":0.9549999833106995},{"id":"https://openalex.org/keywords/fermi-polaron","display_name":"Fermi polaron","score":0.9399999976158142},{"id":"https://openalex.org/keywords/one-dimensional-fermi-gas","display_name":"one-dimensional Fermi gas","score":0.777999997138977},{"id":"https://openalex.org/keywords/attractive-interactions","display_name":"attractive interactions","score":0.9779999852180481},{"id":"https://openalex.org/keywords/polaron-formation","display_name":"polaron formation","score":0.34299999475479126},{"id":"https://openalex.org/keywords/electron-phonon-coupling","display_name":"electron-phonon coupling","score":0.4749999940395355}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.9496999979019165},{"id":"https://openalex.org/C64127065","wikidata":"https://www.wikidata.org/wiki/Q1074844","display_name":"Polaron","level":3,"score":0.6266000270843506},{"id":"https://openalex.org/C17137986","wikidata":"https://www.wikidata.org/wiki/Q215067","display_name":"Orthogonality","level":2,"score":0.5605000257492065},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.5016999840736389},{"id":"https://openalex.org/C186769553","wikidata":"https://www.wikidata.org/wiki/Q726648","display_name":"Fermi Gamma-ray Space Telescope","level":2,"score":0.44999998807907104},{"id":"https://openalex.org/C3079626","wikidata":"https://www.wikidata.org/wiki/Q234881","display_name":"Quantum electrodynamics","level":1,"score":0.34950000047683716},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.319599986076355},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.3061999976634979},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.2992999851703644},{"id":"https://openalex.org/C52233224","wikidata":"https://www.wikidata.org/wiki/Q44363","display_name":"Fermion","level":2,"score":0.25920000672340393}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1103/tgtd-3s4k","doi":"https://doi.org/10.1103/tgtd-3s4k","is_oa":false,"landing_page_url":"https://doi.org/10.1103/tgtd-3s4k","pdf_url":null,"source":{"id":"https://openalex.org/S164566984","display_name":"Physical Review A","issn_l":"0556-2791","issn":["0556-2791","1050-2947","1094-1622","1538-4446","2469-9926","2469-9934","2469-9942"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-a","jufo-2","ki-jl-1","norway-2","poland-100","poland-70","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 A","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2604.12475","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2604.12475","pdf_url":"https://arxiv.org/pdf/2604.12475","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:HAL:hal-05637387v1","doi":null,"is_oa":false,"landing_page_url":"https://hal.science/hal-05637387","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4405252976","host_organization_name":"Centre pour la Communication Scientifique Directe","host_organization_lineage":["https://openalex.org/I4405252976"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arxiv.org, 2026, ⟨10.48550/arXiv.2604.12475⟩","raw_type":"info:eu-repo/semantics/article"},{"id":"doi:10.48550/arxiv.2604.12475","doi":"https://doi.org/10.48550/arxiv.2604.12475","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.12475","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":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2604.12475","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2604.12475","pdf_url":"https://arxiv.org/pdf/2604.12475","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/G4669959847","display_name":null,"funder_award_id":"AD010513635R3","funder_id":"https://openalex.org/F4320326256","funder_display_name":"Grand \u00c9quipement National De Calcul Intensif"},{"id":"https://openalex.org/G7202227676","display_name":"Low Dimensional Quantum Simulator Certification","funder_award_id":"ANR-25-CE47-6400","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"},{"id":"https://openalex.org/F4320326256","display_name":"Grand \u00c9quipement National De Calcul Intensif","ror":"https://ror.org/0010d1q40"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7203827742.pdf","grobid_xml":"https://content.openalex.org/works/W7203827742.grobid-xml"},"referenced_works_count":42,"referenced_works":["https://openalex.org/W1513059268","https://openalex.org/W1540523483","https://openalex.org/W1542921455","https://openalex.org/W1945649777","https://openalex.org/W1963756131","https://openalex.org/W1966394061","https://openalex.org/W1970303903","https://openalex.org/W1971614498","https://openalex.org/W1974012617","https://openalex.org/W1978666970","https://openalex.org/W1981209746","https://openalex.org/W1988453055","https://openalex.org/W1994468436","https://openalex.org/W1995644743","https://openalex.org/W1998455213","https://openalex.org/W1998571746","https://openalex.org/W2007828593","https://openalex.org/W2014049935","https://openalex.org/W2015107705","https://openalex.org/W2015469700","https://openalex.org/W2019487811","https://openalex.org/W2045625658","https://openalex.org/W2051815751","https://openalex.org/W2052372389","https://openalex.org/W2061206493","https://openalex.org/W2067756838","https://openalex.org/W2090168757","https://openalex.org/W2166473014","https://openalex.org/W2171050823","https://openalex.org/W2195046577","https://openalex.org/W2543875327","https://openalex.org/W2592861152","https://openalex.org/W3011869723","https://openalex.org/W3127179274","https://openalex.org/W4223970805","https://openalex.org/W4308167108","https://openalex.org/W4377020749","https://openalex.org/W4406549319","https://openalex.org/W4409570731","https://openalex.org/W4415965634","https://openalex.org/W7116784357","https://openalex.org/W7203785692"],"related_works":["https://openalex.org/W6950503938","https://openalex.org/W1989644192","https://openalex.org/W1880216987","https://openalex.org/W7220945025","https://openalex.org/W2075825574","https://openalex.org/W4310415874","https://openalex.org/W4415307587","https://openalex.org/W1978666970","https://openalex.org/W3016521033","https://openalex.org/W4377020749"],"abstract_inverted_index":{"We":[0,77,101,123],"provide":[1],"a":[2,19,31],"fully":[3],"analytical":[4],"derivation":[5],"of":[6,21,46,49,55,74,82,129],"Anderson's":[7],"orthogonality":[8],"catastrophe":[9],"for":[10],"the":[11,43,47,50,60,66,71,79,83,87,93,104,115,120,126,130],"one":[12],"dimensional":[13],"Fermi":[14,121],"polaron":[15],"integrable":[16],"model,":[17],"describing":[18],"system":[20],"$N$":[22],"spin-up":[23],"fermions,":[24],"with":[25,30,59,70],"fixed":[26],"density":[27],"$n=N/L$,":[28],"interacting":[29],"single":[32],"spin-down":[33],"fermion":[34],"via":[35],"an":[36],"attractive":[37],"contact":[38],"potential.":[39],"The":[40],"proof":[41],"combines":[42],"determinant":[44],"representations":[45],"norm":[48],"many-body":[51],"wave":[52],"function":[53],"and":[54,90,136],"its":[56],"scalar":[57],"product":[58],"noninteracting":[61],"ground":[62],"state,":[63],"obtained":[64],"from":[65],"Bethe":[67],"ansatz":[68],"solution,":[69],"special":[72],"properties":[73],"Cauchy":[75],"matrices.":[76],"derive":[78,125],"leading":[80],"asymptotics":[81],"two":[84],"determinants":[85],"in":[86],"thermodynamic":[88],"limit":[89],"show":[91],"that":[92,103],"quasi-particle":[94],"residue":[95],"$Z$":[96],"decays":[97],"algebraically,":[98],"$Z=W":[99],"N^{-\u03b8}$.":[100],"confirm":[102],"Anderson":[105],"exponent":[106],"$\u03b8$":[107],"is":[108,114],"equal":[109],"to":[110],"$2\u03b4_F^2/\u03c0^2$,":[111],"where":[112],"$\u03b4_F$":[113],"Bethe-ansatz":[116],"phase":[117],"shift":[118],"at":[119,133],"edge.":[122],"also":[124],"asymptotic":[127],"behavior":[128],"prefactor":[131],"$W$":[132],"strong":[134],"coupling":[135],"compare":[137],"it":[138],"against":[139],"exact":[140],"numerics.":[141]},"counts_by_year":[],"updated_date":"2026-10-31T12:09:11.096373","created_date":"2026-08-21T00:00:00"}