{"id":"https://openalex.org/W7224734083","doi":"https://doi.org/10.48550/arxiv.2610.40337","title":"Local determination of low-energy states in gapped fermion systems with weak long-range interactions","display_name":"Local determination of low-energy states in gapped fermion systems with weak long-range interactions","publication_year":2026,"publication_date":"2026-10-29","ids":{"openalex":"https://openalex.org/W7224734083","doi":"https://doi.org/10.48550/arxiv.2610.40337"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.40337","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.40337","pdf_url":"https://arxiv.org/pdf/2610.40337","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"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2610.40337","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5081752312","display_name":"Stefan Teufel","orcid":"https://orcid.org/0000-0003-3296-4261","observed_orcids":["https://orcid.org/0000-0003-3296-4261"]},"institutions":[{"id":"https://openalex.org/I8087733","display_name":"University of T\u00fcbingen","ror":"https://ror.org/03a1kwz48","country_code":"DE","type":"education","lineage":["https://openalex.org/I8087733"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Teufel, Stefan","raw_affiliation_strings":["Fachbereich Mathematik , Universit\u00e4t T\u00fcbingen , Auf der Morgenstelle 10 , 72076 T\u00fcbingen , Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fachbereich Mathematik , Universit\u00e4t T\u00fcbingen , Auf der Morgenstelle 10 , 72076 T\u00fcbingen , Germany","institution_ids":["https://openalex.org/I8087733"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5081752312"],"corresponding_institution_ids":["https://openalex.org/I8087733"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"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":0.9800000190734863,"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":0.9800000190734863,"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":0.012500000186264515,"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"}},{"id":"https://openalex.org/T11682","display_name":"Advanced Condensed Matter Physics","score":0.0010000000474974513,"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/low-lying-excitations","display_name":"low-energy excitations","score":0.6230000257492065},{"id":"https://openalex.org/keywords/boundary-localization","display_name":"boundary localization","score":0.35600000619888306},{"id":"https://openalex.org/keywords/non-perturbative-analysis","display_name":"non-perturbative analysis","score":0.4429999887943268},{"id":"https://openalex.org/keywords/quantum-many-body-systems","display_name":"quantum many-body systems","score":0.3959999978542328}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.762499988079071},{"id":"https://openalex.org/C2778114796","wikidata":"https://www.wikidata.org/wiki/Q7575194","display_name":"Spectral gap","level":2,"score":0.6118999719619751},{"id":"https://openalex.org/C69523127","wikidata":"https://www.wikidata.org/wiki/Q4480008","display_name":"Ground state","level":2,"score":0.5896999835968018},{"id":"https://openalex.org/C83581075","wikidata":"https://www.wikidata.org/wiki/Q1361503","display_name":"Excitation","level":2,"score":0.5626000165939331},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5296000242233276},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.5196999907493591},{"id":"https://openalex.org/C52233224","wikidata":"https://www.wikidata.org/wiki/Q44363","display_name":"Fermion","level":2,"score":0.5098000168800354},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.46050000190734863},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.41339999437332153},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.390500009059906},{"id":"https://openalex.org/C25876928","wikidata":"https://www.wikidata.org/wiki/Q11418","display_name":"Weak interaction","level":2,"score":0.3614000082015991},{"id":"https://openalex.org/C96537103","wikidata":"https://www.wikidata.org/wiki/Q11415","display_name":"Strong interaction","level":2,"score":0.36010000109672546},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.35679998993873596},{"id":"https://openalex.org/C50150098","wikidata":"https://www.wikidata.org/wiki/Q2607127","display_name":"Weak measurement","level":3,"score":0.35530000925064087},{"id":"https://openalex.org/C112313634","wikidata":"https://www.wikidata.org/wiki/Q7886648","display_name":"Complement (music)","level":5,"score":0.3407999873161316},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.33469998836517334},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3328000009059906},{"id":"https://openalex.org/C112675119","wikidata":"https://www.wikidata.org/wiki/Q2992284","display_name":"Periodic boundary conditions","level":3,"score":0.3255000114440918},{"id":"https://openalex.org/C2779291638","wikidata":"https://www.wikidata.org/wiki/Q1455736","display_name":"Local symmetry","level":2,"score":0.3124000132083893},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.30169999599456787},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.3003000020980835},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.26649999618530273},{"id":"https://openalex.org/C162392398","wikidata":"https://www.wikidata.org/wiki/Q272404","display_name":"Finite set","level":2,"score":0.25119999051094055}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.40337","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.40337","pdf_url":"https://arxiv.org/pdf/2610.40337","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.2610.40337","doi":"https://doi.org/10.48550/arxiv.2610.40337","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.40337","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-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2610.40337","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.40337","pdf_url":"https://arxiv.org/pdf/2610.40337","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/G495492649","display_name":"FOR 5413: Quantenspinsysteme mit langreichweitigen Wechselwirkungen: Experiment, Theorie und Mathematik","funder_award_id":"465199066","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G7773887378","display_name":"TRR 352: Mathematik der VielteilchenQuantensysteme und ihrer kollektiven Ph\u00e4nomene","funder_award_id":"470903074","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320322510","display_name":"Sapienza Universit\u00e0 di Roma","ror":"https://ror.org/02be6w209"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7224734083.pdf","grobid_xml":"https://content.openalex.org/works/W7224734083.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W3176450168","https://openalex.org/W7224940739","https://openalex.org/W1776599212","https://openalex.org/W4381800081","https://openalex.org/W2001570391","https://openalex.org/W2021267400","https://openalex.org/W291676491","https://openalex.org/W2797952405","https://openalex.org/W2208629903","https://openalex.org/W2343802919"],"abstract_inverted_index":{"We":[0,32],"consider":[1],"bulk-gapped":[2],"fermion":[3],"systems":[4],"whose":[5],"infinite-volume":[6],"bulk":[7,46,56,80,119,217],"is":[8,252],"obtained":[9],"by":[10,145],"adding":[11],"sufficiently":[12,246],"weak":[13,239,247],"even":[14,172],"many-body":[15],"interactions":[16],"to":[17,76,92,165,181,196,214],"a":[18,49,122,146,221],"free":[19,211],"Hamiltonian":[20],"with":[21,44,55,67,89,186,220],"spectral":[22],"gap":[23,232],"$g>0$,":[24],"allowing":[25],"polynomial":[26],"spatial":[27,192],"decay":[28],"of":[29,37,78,95,98,106,191,202,209],"both":[30],"parts.":[31],"prove":[33,199,243],"quantitative":[34,187],"local":[35,73,112,141,200,224],"determination":[36,113,201],"low-energy":[38,109,203],"states:":[39],"whenever":[40,256],"another":[41],"interaction":[42,47,100,120],"agrees":[43],"the":[45,79,90,93,99,107,159,210,215,236,257],"inside":[48,84,179],"finite":[50,154],"or":[51,62],"infinite":[52],"region":[53],"$U$,":[54,96],"terms":[57,101,190],"crossing":[58],"its":[59,65],"boundary":[60,160,173],"unchanged":[61],"removed,":[63],"all":[64,162],"states":[66],"excitation":[68,225],"energies":[69],"in":[70,153,189],"$[0,3g/4]$":[71],"have":[72],"expectations":[74,143],"close":[75],"those":[77],"ground":[81,125,212,218],"state":[82,213,219],"deep":[83,178],"$U$.":[85],"The":[86,118,249],"error":[87],"decays":[88],"distance":[91,195],"complement":[94],"independently":[97],"supported":[102],"outside":[103,182],"$U$":[104,180,183],"and":[105,194,234,254,259],"chosen":[108],"state.":[110,126],"Quantitative":[111],"has":[114,121],"strong":[115,129],"consequences.":[116],"(i)":[117],"unique":[123],"algebraic":[124],"(ii)":[127],"A":[128,228],"\"local":[130],"perturbations":[131],"perturb":[132],"locally\"":[133],"(LPPL)":[134],"principle":[135],"holds:":[136],"arbitrary":[137,171],"distant":[138],"defects":[139],"change":[140],"ground-state":[142],"only":[144],"spatially":[147,166],"decaying":[148,167],"error.":[149],"(iii)":[150],"Low-energy":[151],"excitations":[152],"samples":[155],"remain":[156],"localized":[157],"near":[158],"for":[161,238],"times,":[163],"up":[164],"tails,":[168],"uniformly":[169],"over":[170],"terms.":[174],"(iv)":[175],"Correlations":[176],"from":[177],"are":[184],"small,":[185],"bounds":[188],"separation":[193],"$U^c$.":[197],"To":[198],"states,":[204],"we":[205,242],"combine":[206],"quasi-adiabatic":[207],"transport":[208,237,258],"interacting":[216],"new":[222],"condition,":[223],"detectability":[226],"(LED).":[227],"companion":[229],"paper":[230],"establishes":[231],"stability":[233],"constructs":[235],"interactions,":[240],"while":[241],"LED":[244,260],"at":[245],"coupling.":[248],"abstract":[250],"theorem":[251],"nonperturbative":[253],"applies":[255],"hypotheses":[261],"hold.":[262]},"counts_by_year":[],"updated_date":"2026-11-03T10:50:19.383937","created_date":"2026-10-31T00:00:00"}