{"id":"https://openalex.org/W7220691391","doi":"https://doi.org/10.48550/arxiv.2610.05953","title":"Fast mixing of the SYK model at high temperatures","display_name":"Fast mixing of the SYK model at high temperatures","publication_year":2026,"publication_date":"2026-10-05","ids":{"openalex":"https://openalex.org/W7220691391","doi":"https://doi.org/10.48550/arxiv.2610.05953"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.05953","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.05953","pdf_url":"https://arxiv.org/pdf/2610.05953","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/2610.05953","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5157683849","display_name":"Yiyi Cai","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]},{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]},{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Cai, Yiyi","raw_affiliation_strings":["Stanford Caltech MIT"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Stanford Caltech MIT","institution_ids":["https://openalex.org/I122411786","https://openalex.org/I63966007","https://openalex.org/I97018004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013334960","display_name":"Yongtao Zhan","orcid":"https://orcid.org/0000-0002-9314-0517","observed_orcids":["https://orcid.org/0000-0002-9314-0517"]},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]},{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]},{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Zhan, Yongtao","raw_affiliation_strings":["Stanford Caltech MIT"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Stanford Caltech MIT","institution_ids":["https://openalex.org/I122411786","https://openalex.org/I63966007","https://openalex.org/I97018004"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003116157","display_name":"Alexander Zlokapa","orcid":"https://orcid.org/0000-0002-4153-8646","observed_orcids":["https://orcid.org/0000-0002-4153-8646"]},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]},{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]},{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Zlokapa, Alexander","raw_affiliation_strings":["Stanford Caltech MIT"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Stanford Caltech MIT","institution_ids":["https://openalex.org/I122411786","https://openalex.org/I63966007","https://openalex.org/I97018004"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"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":0.9951000213623047,"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":0.9951000213623047,"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":0.0013000000035390258,"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/T10591","display_name":"Theoretical and Computational Physics","score":0.00039999998989515007,"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/sachdev-ye-kitaev-model","display_name":"Sachdev-Ye-Kitaev model","score":0.9990000128746033},{"id":"https://openalex.org/keywords/spectral-gap","display_name":"spectral gap","score":0.8270000219345093},{"id":"https://openalex.org/keywords/thermalization","display_name":"thermalization","score":0.6690000295639038},{"id":"https://openalex.org/keywords/high-temperature","display_name":"high temperature","score":0.7789999842643738},{"id":"https://openalex.org/keywords/quantum-chaos","display_name":"quantum chaos","score":0.4399999976158142},{"id":"https://openalex.org/keywords/fermionic-systems","display_name":"fermionic systems","score":0.5529999732971191},{"id":"https://openalex.org/keywords/trace-distance","display_name":"trace distance","score":0.6970000267028809},{"id":"https://openalex.org/keywords/quantum-hardware","display_name":"quantum computing hardware","score":0.3160000145435333}],"concepts":[{"id":"https://openalex.org/C35174551","wikidata":"https://www.wikidata.org/wiki/Q7660502","display_name":"Syk","level":4,"score":0.8698999881744385},{"id":"https://openalex.org/C52233224","wikidata":"https://www.wikidata.org/wiki/Q44363","display_name":"Fermion","level":2,"score":0.7023000121116638},{"id":"https://openalex.org/C138777275","wikidata":"https://www.wikidata.org/wiki/Q6884054","display_name":"Mixing (physics)","level":2,"score":0.6417999863624573},{"id":"https://openalex.org/C15359245","wikidata":"https://www.wikidata.org/wiki/Q1347805","display_name":"Thermalisation","level":2,"score":0.5396000146865845},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.49070000648498535},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4832000136375427},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.44530001282691956},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.42829999327659607},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.41339999437332153},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.4115000069141388},{"id":"https://openalex.org/C75291252","wikidata":"https://www.wikidata.org/wiki/Q1315756","display_name":"TRACE (psycholinguistics)","level":2,"score":0.38519999384880066},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37599998712539673},{"id":"https://openalex.org/C2778114796","wikidata":"https://www.wikidata.org/wiki/Q7575194","display_name":"Spectral gap","level":2,"score":0.3749000132083893},{"id":"https://openalex.org/C164866538","wikidata":"https://www.wikidata.org/wiki/Q367351","display_name":"Cluster (spacecraft)","level":2,"score":0.3732999861240387},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.36649999022483826},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.364300012588501},{"id":"https://openalex.org/C158444337","wikidata":"https://www.wikidata.org/wiki/Q2510435","display_name":"Gibbs measure","level":2,"score":0.3614000082015991},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.33469998836517334},{"id":"https://openalex.org/C2993791989","wikidata":"https://www.wikidata.org/wiki/Q917476","display_name":"Inverse temperature","level":2,"score":0.3296000063419342},{"id":"https://openalex.org/C124657808","wikidata":"https://www.wikidata.org/wiki/Q1133068","display_name":"Quantum dot","level":2,"score":0.32670000195503235},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.3138999938964844},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.295199990272522},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.25699999928474426}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.05953","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.05953","pdf_url":"https://arxiv.org/pdf/2610.05953","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.2610.05953","doi":"https://doi.org/10.48550/arxiv.2610.05953","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.05953","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":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2610.05953","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.05953","pdf_url":"https://arxiv.org/pdf/2610.05953","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/G2289860940","display_name":"Graduate Research Fellowship Program (GRFP)","funder_award_id":"2146755","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G507237395","display_name":"The Institute for Quantum Information and Matter: Advancing the Entanglement Frontier","funder_award_id":"1733907","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7220691391.pdf","grobid_xml":"https://content.openalex.org/works/W7220691391.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W7155570963","https://openalex.org/W3213860629","https://openalex.org/W4416386270","https://openalex.org/W4406033469","https://openalex.org/W4404404838","https://openalex.org/W4210867557","https://openalex.org/W7165961039","https://openalex.org/W7125528686","https://openalex.org/W7131880231","https://openalex.org/W4416794504"],"abstract_inverted_index":{"The":[0],"Sachdev-Ye-Kitaev":[1],"(SYK)":[2],"model":[3,39],"is":[4],"a":[5,41,46,64,108,122],"strongly":[6],"interacting":[7],"fermionic":[8],"system.":[9],"Its":[10],"dynamics":[11],"are":[12],"difficult":[13],"to":[14,23,77,88,100,124],"analyze":[15],"with":[16,31,45],"Lieb-Robinson":[17],"bounds":[18],"and":[19,114],"cluster":[20],"expansions":[21],"due":[22],"its":[24],"all-to-all":[25],"disordered":[26],"interactions.":[27],"We":[28],"prove":[29],"that,":[30],"high":[32,52],"probability":[33],"over":[34],"the":[35,37,97],"disorder,":[36],"SYK":[38,60,73,118],"admits":[40],"quantum":[42,65,112],"Gibbs":[43,61],"sampler":[44],"system-size-independent":[47],"spectral":[48],"gap":[49],"at":[50],"sufficiently":[51],"constant":[53],"temperatures.":[54],"This":[55],"yields":[56],"polynomial-time":[57],"preparation":[58],"of":[59],"states":[62],"on":[63,121],"computer.":[66],"While":[67],"prior":[68],"non-rigorous":[69],"computations":[70],"that":[71,83],"suggested":[72],"thermalization":[74],"were":[75],"limited":[76],"studying":[78],"local":[79],"correlators,":[80],"we":[81],"emphasize":[82],"our":[84],"result":[85],"holds":[86],"up":[87],"arbitrary":[89],"inverse":[90],"polynomial":[91],"trace":[92],"distance.":[93],"Our":[94],"proof":[95],"introduces":[96],"pseudo-Lindbladian":[98],"approach":[99],"fermions":[101],"then":[102],"applies":[103],"two":[104],"key":[105],"new":[106],"ideas:":[107],"Bochner":[109],"inequality":[110],"for":[111],"dynamics,":[113],"an":[115],"especially":[116],"simple":[117],"analysis":[119],"based":[120],"comparison":[123],"classical":[125],"dynamics.":[126]},"counts_by_year":[],"updated_date":"2026-11-06T12:05:46.655746","created_date":"2026-10-07T00:00:00"}
