{"id":"https://openalex.org/W7202203508","doi":"https://doi.org/10.1103/xmqc-99hq","title":"Unified theory of local integrals of motion","display_name":"Unified theory of local integrals of motion","publication_year":2026,"publication_date":"2026-08-11","ids":{"openalex":"https://openalex.org/W7202203508","doi":"https://doi.org/10.1103/xmqc-99hq"},"language":"en","primary_location":{"id":"doi:10.1103/xmqc-99hq","doi":"https://doi.org/10.1103/xmqc-99hq","is_oa":false,"landing_page_url":"https://doi.org/10.1103/xmqc-99hq","pdf_url":null,"source":{"id":"https://openalex.org/S4210237713","display_name":"Physical review. B./Physical review. B","issn_l":"2469-9950","issn":["2469-9950","2469-9969","2469-9977"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-a","jufo-2","norway-2","poland-140","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 B","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/2512.09595","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5036997671","display_name":"Ben Craps","orcid":"https://orcid.org/0000-0002-0805-0403","observed_orcids":["https://orcid.org/0000-0002-0805-0403"]},"institutions":[{"id":"https://openalex.org/I13469542","display_name":"Vrije Universiteit Brussel","ror":"https://ror.org/006e5kg04","country_code":"BE","type":"education","lineage":["https://openalex.org/I13469542"]},{"id":"https://openalex.org/I4210160428","display_name":"International Solvay Institutes","ror":"https://ror.org/05xqtsb23","country_code":"BE","type":"other","lineage":["https://openalex.org/I4210160428"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Ben Craps","raw_affiliation_strings":["International Solvay Institutes","Vrije Universiteit Brussel"],"raw_orcid":"https://orcid.org/0000-0002-0805-0403","affiliations":[{"raw_affiliation_string":"International Solvay Institutes","institution_ids":["https://openalex.org/I4210160428"]},{"raw_affiliation_string":"Vrije Universiteit Brussel","institution_ids":["https://openalex.org/I13469542"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090182076","display_name":"Oleg Evnin","orcid":"https://orcid.org/0000-0001-5999-778X","observed_orcids":["https://orcid.org/0000-0001-5999-778X"]},"institutions":[{"id":"https://openalex.org/I13469542","display_name":"Vrije Universiteit Brussel","ror":"https://ror.org/006e5kg04","country_code":"BE","type":"education","lineage":["https://openalex.org/I13469542"]},{"id":"https://openalex.org/I158708052","display_name":"Chulalongkorn University","ror":"https://ror.org/028wp3y58","country_code":"TH","type":"education","lineage":["https://openalex.org/I158708052"]},{"id":"https://openalex.org/I4210160428","display_name":"International Solvay Institutes","ror":"https://ror.org/05xqtsb23","country_code":"BE","type":"other","lineage":["https://openalex.org/I4210160428"]}],"countries":["BE","TH"],"is_corresponding":false,"raw_author_name":"Oleg Evnin","raw_affiliation_strings":["Chulalongkorn University","International Solvay Institutes","Vrije Universiteit Brussel"],"raw_orcid":"https://orcid.org/0000-0001-5999-778X","affiliations":[{"raw_affiliation_string":"Chulalongkorn University","institution_ids":["https://openalex.org/I158708052"]},{"raw_affiliation_string":"International Solvay Institutes","institution_ids":["https://openalex.org/I4210160428"]},{"raw_affiliation_string":"Vrije Universiteit Brussel","institution_ids":["https://openalex.org/I13469542"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007226038","display_name":"Dmitry L. Kovrizhin","orcid":"https://orcid.org/0000-0003-3336-8146","observed_orcids":["https://orcid.org/0000-0003-3336-8146"]},"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/I4210142324","display_name":"CY Cergy Paris Universit\u00e9","ror":"https://ror.org/043htjv09","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210142324"]},{"id":"https://openalex.org/I4387153379","display_name":"Laboratoire de Physique Th\u00e9orique et Mod\u00e9lisation","ror":"https://ror.org/05nhcdk38","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I4210142324","https://openalex.org/I4387153379"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Dmitry Kovrizhin","raw_affiliation_strings":["CNRS","CY Cergy Paris Universit\u00e9","Laboratoire de Physique Th\u00e9orique et Mod\u00e9lisation (LPTM)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CNRS","institution_ids":["https://openalex.org/I1294671590"]},{"raw_affiliation_string":"CY Cergy Paris Universit\u00e9","institution_ids":["https://openalex.org/I4210142324"]},{"raw_affiliation_string":"Laboratoire de Physique Th\u00e9orique et Mod\u00e9lisation (LPTM)","institution_ids":["https://openalex.org/I4387153379"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5093402729","display_name":"Gabriele Pascuzzi","orcid":"https://orcid.org/0000-0002-7067-2692","observed_orcids":["https://orcid.org/0000-0002-7067-2692"]},"institutions":[{"id":"https://openalex.org/I13469542","display_name":"Vrije Universiteit Brussel","ror":"https://ror.org/006e5kg04","country_code":"BE","type":"education","lineage":["https://openalex.org/I13469542"]},{"id":"https://openalex.org/I4210160428","display_name":"International Solvay Institutes","ror":"https://ror.org/05xqtsb23","country_code":"BE","type":"other","lineage":["https://openalex.org/I4210160428"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Gabriele Pascuzzi","raw_affiliation_strings":["International Solvay Institutes","Vrije Universiteit Brussel"],"raw_orcid":"https://orcid.org/0000-0002-7067-2692","affiliations":[{"raw_affiliation_string":"International Solvay Institutes","institution_ids":["https://openalex.org/I4210160428"]},{"raw_affiliation_string":"Vrije Universiteit Brussel","institution_ids":["https://openalex.org/I13469542"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":6,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.57118349,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"114","issue":"14","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/T10382","display_name":"Quantum and electron transport phenomena","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"}},{"id":"https://openalex.org/T11682","display_name":"Advanced Condensed Matter Physics","score":0.0,"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/local-integrals-of-motion","display_name":"local integrals of motion","score":0.9750000238418579},{"id":"https://openalex.org/keywords/conservation-laws","display_name":"conservation laws","score":0.5699999928474426},{"id":"https://openalex.org/keywords/quantum-many-body-systems","display_name":"quantum many-body systems","score":0.5389999747276306},{"id":"https://openalex.org/keywords/lie-algebraic-approach","display_name":"Lie algebraic approach","score":0.3070000112056732},{"id":"https://openalex.org/keywords/commutation-relations","display_name":"commutation relations","score":0.37599998712539673}],"concepts":[{"id":"https://openalex.org/C2779808786","wikidata":"https://www.wikidata.org/wiki/Q6664603","display_name":"Locality","level":2,"score":0.6421999931335449},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5619000196456909},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.5613999962806702},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5497000217437744},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5177000164985657},{"id":"https://openalex.org/C2780451532","wikidata":"https://www.wikidata.org/wiki/Q759676","display_name":"Task (project management)","level":2,"score":0.4325999915599823},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.42829999327659607},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.40560001134872437},{"id":"https://openalex.org/C2988284105","wikidata":"https://www.wikidata.org/wiki/Q11424730","display_name":"Ground motion","level":2,"score":0.40310001373291016},{"id":"https://openalex.org/C46451288","wikidata":"https://www.wikidata.org/wiki/Q1080745","display_name":"Unified field theory","level":2,"score":0.3885999917984009},{"id":"https://openalex.org/C3445786","wikidata":"https://www.wikidata.org/wiki/Q205805","display_name":"Conservation law","level":2,"score":0.3693000078201294},{"id":"https://openalex.org/C18399536","wikidata":"https://www.wikidata.org/wiki/Q629202","display_name":"Principle of locality","level":5,"score":0.3644999861717224},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3296999931335449},{"id":"https://openalex.org/C137019171","wikidata":"https://www.wikidata.org/wiki/Q2623817","display_name":"Quantum algorithm","level":3,"score":0.32679998874664307},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3109000027179718},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3003999888896942},{"id":"https://openalex.org/C59656382","wikidata":"https://www.wikidata.org/wiki/Q191536","display_name":"Conjunction (astronomy)","level":2,"score":0.27379998564720154},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.2732999920845032},{"id":"https://openalex.org/C138622882","wikidata":"https://www.wikidata.org/wiki/Q7269079","display_name":"Quantum nonlocality","level":4,"score":0.2653000056743622},{"id":"https://openalex.org/C11255438","wikidata":"https://www.wikidata.org/wiki/Q7269085","display_name":"Quantum process","level":4,"score":0.2615000009536743},{"id":"https://openalex.org/C115047598","wikidata":"https://www.wikidata.org/wiki/Q54505","display_name":"Quantum field theory","level":2,"score":0.260699987411499},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.25619998574256897}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1103/xmqc-99hq","doi":"https://doi.org/10.1103/xmqc-99hq","is_oa":false,"landing_page_url":"https://doi.org/10.1103/xmqc-99hq","pdf_url":null,"source":{"id":"https://openalex.org/S4210237713","display_name":"Physical review. B./Physical review. B","issn_l":"2469-9950","issn":["2469-9950","2469-9969","2469-9977"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-a","jufo-2","norway-2","poland-140","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 B","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2512.09595","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2512.09595","pdf_url":"https://arxiv.org/pdf/2512.09595","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:vubissmart:VUBISSMART:2000:269420","doi":null,"is_oa":false,"landing_page_url":"http://link.aps.org/pdf/10.1103/xmqc-99hq","pdf_url":null,"source":{"id":"https://openalex.org/S4306402573","display_name":"VUBIR (Vrije Universiteit Brussel)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I13469542","host_organization_name":"Vrije Universiteit Brussel","host_organization_lineage":["https://openalex.org/I13469542"],"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":"article"},{"id":"doi:10.48550/arxiv.2512.09595","doi":"https://doi.org/10.48550/arxiv.2512.09595","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2512.09595","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:2512.09595","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2512.09595","pdf_url":"https://arxiv.org/pdf/2512.09595","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/G111748564","display_name":"Quantum complexity, quantum entanglement and the emergence of spacetime","funder_award_id":"G012222N","funder_id":"https://openalex.org/F4320321730","funder_display_name":"Fonds Wetenschappelijk Onderzoek"},{"id":"https://openalex.org/G432883942","display_name":null,"funder_award_id":"B41G680029","funder_id":"https://openalex.org/F4320321557","funder_display_name":"Chulalongkorn University"},{"id":"https://openalex.org/G6788722565","display_name":"Spread complexity and the size of black hole interiors in quantum gravity","funder_award_id":"G0A2226N","funder_id":"https://openalex.org/F4320321730","funder_display_name":"Fonds Wetenschappelijk Onderzoek"}],"funders":[{"id":"https://openalex.org/F4320321557","display_name":"Chulalongkorn University","ror":"https://ror.org/028wp3y58"},{"id":"https://openalex.org/F4320321730","display_name":"Fonds Wetenschappelijk Onderzoek","ror":"https://ror.org/03qtxy027"},{"id":"https://openalex.org/F4320327336","display_name":"Vlaamse regering","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7202203508.pdf","grobid_xml":"https://content.openalex.org/works/W7202203508.grobid-xml"},"referenced_works_count":32,"referenced_works":["https://openalex.org/W1965121855","https://openalex.org/W1967106943","https://openalex.org/W1971496656","https://openalex.org/W1973947081","https://openalex.org/W1990965852","https://openalex.org/W1992350815","https://openalex.org/W1998550051","https://openalex.org/W2022820481","https://openalex.org/W2039006229","https://openalex.org/W2054763080","https://openalex.org/W2067612530","https://openalex.org/W2069129925","https://openalex.org/W2079602089","https://openalex.org/W2104281360","https://openalex.org/W2128084896","https://openalex.org/W2264002775","https://openalex.org/W2265801621","https://openalex.org/W2513406073","https://openalex.org/W2546635825","https://openalex.org/W2774959102","https://openalex.org/W2904212763","https://openalex.org/W2907195058","https://openalex.org/W4213200055","https://openalex.org/W4224313363","https://openalex.org/W4281690789","https://openalex.org/W4304175529","https://openalex.org/W4380629799","https://openalex.org/W4391598136","https://openalex.org/W4404734356","https://openalex.org/W4408477392","https://openalex.org/W4415166263","https://openalex.org/W7114805479"],"related_works":["https://openalex.org/W1973947081","https://openalex.org/W2907195058","https://openalex.org/W2526160124","https://openalex.org/W1992350815","https://openalex.org/W2751613868","https://openalex.org/W2242196304","https://openalex.org/W4415166263","https://openalex.org/W2532916186","https://openalex.org/W4408477392","https://openalex.org/W240799047"],"abstract_inverted_index":{"Conservation":[0],"laws":[1],"are":[2],"of":[3,9,25,41,52,55,59,62,76,93,98],"paramount":[4],"importance":[5],"in":[6,50,107],"our":[7,66],"understanding":[8],"classical":[10,95],"and":[11,31,111,120],"quantum":[12,23,32],"dynamics.":[13],"Here,":[14],"we":[15,68],"present":[16],"a":[17],"general":[18],"framework":[19],"for":[20,38],"constructing":[21],"exact":[22],"integrals":[24,61],"motion":[26,63],"with":[27],"the":[28,39,53,74,91,108],"desired":[29],"locality":[30],"numbers,":[33],"which":[34],"will":[35],"be":[36],"illustrated":[37],"case":[40],"many-body-localization":[42],"(MBL).":[43],"The":[44],"latter":[45],"has":[46],"been":[47],"understood":[48],"theoretically":[49],"terms":[51],"existence":[54],"an":[56,80],"extensive":[57],"number":[58],"local":[60],"(LIOMs).":[64],"Using":[65],"approach,":[67],"show":[69],"that":[70],"one":[71],"can":[72],"express":[73],"task":[75],"finding":[77,94],"LIOMs":[78],"as":[79],"optimization":[81,122],"problem.":[82],"For":[83],"some":[84],"specifications,":[85],"this":[86],"problem":[87],"surprisingly":[88],"connects":[89],"to":[90],"question":[92],"ground":[96],"states":[97],"spin-glass":[99,118],"models.":[100],"Our":[101],"work":[102],"unifies":[103],"previous":[104],"results":[105],"obtained":[106],"MBL":[109],"context":[110],"reveals":[112],"intriguing":[113],"connections":[114],"between":[115],"many-body":[116],"localization,":[117],"physics,":[119],"constrained":[121],"problems.":[123]},"counts_by_year":[],"updated_date":"2026-10-12T09:40:04.860316","created_date":"2026-08-12T00:00:00"}