{"id":"https://openalex.org/W7223208923","doi":"https://doi.org/10.48550/arxiv.2610.28927","title":"Lieb-Robinson bounds via the Combes-Thomas estimate","display_name":"Lieb-Robinson bounds via the Combes-Thomas estimate","publication_year":2026,"publication_date":"2026-10-20","ids":{"openalex":"https://openalex.org/W7223208923","doi":"https://doi.org/10.48550/arxiv.2610.28927"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.28927","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.28927","pdf_url":"https://arxiv.org/pdf/2610.28927","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/2610.28927","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5159293533","display_name":"Tali Braester","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I201448701","display_name":"University of Washington","ror":"https://ror.org/00cvxb145","country_code":"US","type":"education","lineage":["https://openalex.org/I201448701"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Braester, Tali","raw_affiliation_strings":["Department of Mathematics , University of Washington , Seattle , WA 98195 , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics , University of Washington , Seattle , WA 98195 , USA","institution_ids":["https://openalex.org/I201448701"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5159285890","display_name":"Haochen Luo","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I201448701","display_name":"University of Washington","ror":"https://ror.org/00cvxb145","country_code":"US","type":"education","lineage":["https://openalex.org/I201448701"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Luo, Haochen","raw_affiliation_strings":["Department of Mathematics , University of Washington , Seattle , WA 98195 , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics , University of Washington , Seattle , WA 98195 , USA","institution_ids":["https://openalex.org/I201448701"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5159261153","display_name":"George Peykanu","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I201448701","display_name":"University of Washington","ror":"https://ror.org/00cvxb145","country_code":"US","type":"education","lineage":["https://openalex.org/I201448701"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Peykanu, George","raw_affiliation_strings":["Department of Mathematics , University of Washington , Seattle , WA 98195 , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics , University of Washington , Seattle , WA 98195 , USA","institution_ids":["https://openalex.org/I201448701"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5159276764","display_name":"Sergii Solomakha","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I201448701","display_name":"University of Washington","ror":"https://ror.org/00cvxb145","country_code":"US","type":"education","lineage":["https://openalex.org/I201448701"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Solomakha, Sergii","raw_affiliation_strings":["Department of Mathematics , University of Washington , Seattle , WA 98195 , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics , University of Washington , Seattle , WA 98195 , USA","institution_ids":["https://openalex.org/I201448701"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I201448701"],"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/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.6704000234603882,"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"}},"topics":[{"id":"https://openalex.org/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.6704000234603882,"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/T11804","display_name":"Quantum many-body systems","score":0.290800005197525,"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/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.011099999770522118,"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/lieb-robinson-bound","display_name":"Lieb-Robinson bound","score":0.9679999947547913},{"id":"https://openalex.org/keywords/quantum-spin-systems","display_name":"quantum spin systems","score":0.9879999756813049},{"id":"https://openalex.org/keywords/information-dissemination","display_name":"information dissemination","score":0.6949999928474426},{"id":"https://openalex.org/keywords/resolvent-estimates","display_name":"resolvent estimates","score":0.7170000076293945},{"id":"https://openalex.org/keywords/banded-matrices","display_name":"banded matrices","score":0.9890000224113464},{"id":"https://openalex.org/keywords/spectral-bounds","display_name":"spectral bounds","score":0.7540000081062317},{"id":"https://openalex.org/keywords/local-interactions","display_name":"local interactions","score":0.5019999742507935},{"id":"https://openalex.org/keywords/quantum-many-body-systems","display_name":"quantum many-body systems","score":0.5820000171661377}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5803999900817871},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5613999962806702},{"id":"https://openalex.org/C2778870898","wikidata":"https://www.wikidata.org/wiki/Q7577658","display_name":"Spins","level":2,"score":0.5152999758720398},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.4851999878883362},{"id":"https://openalex.org/C42704618","wikidata":"https://www.wikidata.org/wiki/Q910917","display_name":"Spin (aerodynamics)","level":2,"score":0.38760000467300415},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.35690000653266907},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3441999852657318},{"id":"https://openalex.org/C162392398","wikidata":"https://www.wikidata.org/wiki/Q272404","display_name":"Finite set","level":2,"score":0.29750001430511475},{"id":"https://openalex.org/C156778621","wikidata":"https://www.wikidata.org/wiki/Q1365748","display_name":"Spectrum (functional analysis)","level":2,"score":0.28760001063346863},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.27570000290870667},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.27090001106262207},{"id":"https://openalex.org/C2778926657","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum system","level":3,"score":0.27070000767707825},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.26460000872612},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.26179999113082886},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2590000033378601},{"id":"https://openalex.org/C138622882","wikidata":"https://www.wikidata.org/wiki/Q7269079","display_name":"Quantum nonlocality","level":4,"score":0.2578999996185303},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2547999918460846},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.25450000166893005}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.28927","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.28927","pdf_url":"https://arxiv.org/pdf/2610.28927","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.2610.28927","doi":"https://doi.org/10.48550/arxiv.2610.28927","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.28927","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:2610.28927","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.28927","pdf_url":"https://arxiv.org/pdf/2610.28927","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":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7223208923.pdf","grobid_xml":"https://content.openalex.org/works/W7223208923.grobid-xml"},"referenced_works_count":17,"referenced_works":["https://openalex.org/W1975451401","https://openalex.org/W1978774199","https://openalex.org/W1988696189","https://openalex.org/W2011290825","https://openalex.org/W2080580319","https://openalex.org/W2084213112","https://openalex.org/W2317586084","https://openalex.org/W2620515309","https://openalex.org/W2962155699","https://openalex.org/W2982313648","https://openalex.org/W3150204940","https://openalex.org/W3183028218","https://openalex.org/W4229483665","https://openalex.org/W4248744331","https://openalex.org/W4386823127","https://openalex.org/W4394710844","https://openalex.org/W4396892783"],"related_works":["https://openalex.org/W4248327708","https://openalex.org/W6980064928","https://openalex.org/W2788987283","https://openalex.org/W2162065453","https://openalex.org/W1991862997","https://openalex.org/W2967668138","https://openalex.org/W3137279746","https://openalex.org/W7100870987","https://openalex.org/W4406527465","https://openalex.org/W1943592433"],"abstract_inverted_index":{"This":[0],"paper":[1],"studies":[2],"quantum":[3],"spin":[4],"systems:":[5],"networks":[6],"of":[7,33,45,47],"spins":[8],"coupled":[9],"by":[10],"local":[11],"interactions.":[12],"The":[13],"Lieb-Robinson":[14],"bound":[15,42],"predicts":[16],"that":[17],"in":[18],"these":[19],"systems,":[20],"information":[21],"propagates":[22],"at":[23],"an":[24],"essentially":[25],"finite":[26],"speed.":[27],"We":[28],"produce":[29],"a":[30,40],"new":[31],"proof":[32],"this":[34],"result.":[35],"Our":[36],"approach":[37],"relies":[38],"on":[39,43,55],"spectral":[41],"entries":[44],"resolvents":[46],"band":[48],"matrices,":[49],"the":[50,56],"Combes-Thomas":[51],"estimate,":[52],"rather":[53],"than":[54],"standard":[57],"path-counting":[58],"argument.":[59]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-10-23T00:00:00"}