{"id":"https://openalex.org/W2755196450","doi":"https://doi.org/10.1142/s1230161217400170","title":"On the Derivation of the GKLS Equation for Weakly Coupled Systems","display_name":"On the Derivation of the GKLS Equation for Weakly Coupled Systems","publication_year":2017,"publication_date":"2017-12-01","ids":{"openalex":"https://openalex.org/W2755196450","doi":"https://doi.org/10.1142/s1230161217400170","mag":"2755196450"},"language":"en","primary_location":{"id":"doi:10.1142/s1230161217400170","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1230161217400170","pdf_url":null,"source":{"id":"https://openalex.org/S27332288","display_name":"Open Systems & Information Dynamics","issn_l":"1230-1612","issn":["1230-1612","1573-1324","1793-7191"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Open Systems & Information Dynamics","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1709.06472","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Paolo Facchi","orcid":null},"institutions":[{"id":"https://openalex.org/I4210112283","display_name":"Istituto Nazionale di Fisica Nucleare, Sezione di Bari","ror":"https://ror.org/022hq6c49","country_code":"IT","type":"facility","lineage":["https://openalex.org/I160013858","https://openalex.org/I4210112283"]},{"id":"https://openalex.org/I5561750","display_name":"University of Bari Aldo Moro","ror":"https://ror.org/027ynra39","country_code":"IT","type":"education","lineage":["https://openalex.org/I5561750"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Paolo Facchi","raw_affiliation_strings":["Dipartimento di Fisica and MECENAS, Universit\u00e0 di Bari, I-70126 Bari, Italy","INFN, Sezione di Bari, I-70126 Bari, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Fisica and MECENAS, Universit\u00e0 di Bari, I-70126 Bari, Italy","institution_ids":["https://openalex.org/I5561750"]},{"raw_affiliation_string":"INFN, Sezione di Bari, I-70126 Bari, Italy","institution_ids":["https://openalex.org/I4210112283"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Marilena Ligab\u00f2","orcid":null},"institutions":[{"id":"https://openalex.org/I5561750","display_name":"University of Bari Aldo Moro","ror":"https://ror.org/027ynra39","country_code":"IT","type":"education","lineage":["https://openalex.org/I5561750"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Marilena Ligab\u00f2","raw_affiliation_strings":["Dipartimento di Matematica, Universit\u00e0 di Bari, I-70125 Bari, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica, Universit\u00e0 di Bari, I-70125 Bari, Italy","institution_ids":["https://openalex.org/I5561750"]}]},{"author_position":"last","author":{"id":null,"display_name":"Kazuya Yuasa","orcid":null},"institutions":[{"id":"https://openalex.org/I150744194","display_name":"Waseda University","ror":"https://ror.org/00ntfnx83","country_code":"JP","type":"education","lineage":["https://openalex.org/I150744194"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Kazuya Yuasa","raw_affiliation_strings":["Department of Physics, Waseda University, Tokyo 169-8555, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics, Waseda University, Tokyo 169-8555, Japan","institution_ids":["https://openalex.org/I150744194"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.13926747,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"24","issue":"04","first_page":"1740017","last_page":"1740017"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11177","display_name":"Spectroscopy and Quantum Chemical Studies","score":0.6593000292778015,"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/T11177","display_name":"Spectroscopy and Quantum Chemical Studies","score":0.6593000292778015,"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/T10020","display_name":"Quantum Information and Cryptography","score":0.06970000267028809,"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/T10425","display_name":"Cold Atom Physics and Bose-Einstein Condensates","score":0.04190000146627426,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6901999711990356},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.6151000261306763},{"id":"https://openalex.org/keywords/mixing","display_name":"Mixing (physics)","score":0.597599983215332},{"id":"https://openalex.org/keywords/master-equation","display_name":"Master equation","score":0.5730999708175659},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.5490000247955322},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.5223000049591064},{"id":"https://openalex.org/keywords/quantum-system","display_name":"Quantum system","score":0.4796999990940094},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.46860000491142273}],"concepts":[{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6901999711990356},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.6151000261306763},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6014000177383423},{"id":"https://openalex.org/C138777275","wikidata":"https://www.wikidata.org/wiki/Q6884054","display_name":"Mixing (physics)","level":2,"score":0.597599983215332},{"id":"https://openalex.org/C128805008","wikidata":"https://www.wikidata.org/wiki/Q722878","display_name":"Master equation","level":3,"score":0.5730999708175659},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.5490000247955322},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5223000049591064},{"id":"https://openalex.org/C2778926657","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum system","level":3,"score":0.4796999990940094},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.46860000491142273},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.46540001034736633},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.38530001044273376},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3456999957561493},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3402000069618225},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.33410000801086426},{"id":"https://openalex.org/C47822265","wikidata":"https://www.wikidata.org/wiki/Q854457","display_name":"Complex system","level":2,"score":0.329800009727478},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.32409998774528503},{"id":"https://openalex.org/C53622274","wikidata":"https://www.wikidata.org/wiki/Q2496679","display_name":"Correlation function (quantum field theory)","level":3,"score":0.31119999289512634},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.28209999203681946},{"id":"https://openalex.org/C15184713","wikidata":"https://www.wikidata.org/wiki/Q7269042","display_name":"Quantum dynamics","level":3,"score":0.27379998564720154},{"id":"https://openalex.org/C2777057244","wikidata":"https://www.wikidata.org/wiki/Q18389871","display_name":"Quantum master equation","level":4,"score":0.27149999141693115},{"id":"https://openalex.org/C15706264","wikidata":"https://www.wikidata.org/wiki/Q230883","display_name":"Quantum state","level":3,"score":0.260699987411499}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1142/s1230161217400170","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1230161217400170","pdf_url":null,"source":{"id":"https://openalex.org/S27332288","display_name":"Open Systems & Information Dynamics","issn_l":"1230-1612","issn":["1230-1612","1573-1324","1793-7191"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Open Systems & Information Dynamics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1709.06472","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1709.06472","pdf_url":"https://arxiv.org/pdf/1709.06472","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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:ricerca.uniba.it:11586/207156","is_oa":false,"landing_page_url":"http://www.worldscinet.com/osid/mkt/archive.shtml?2008&15","pdf_url":null,"source":{"id":"https://openalex.org/S4377196296","display_name":"CINECA IRIS Institutional Research Information System (University of Bari Aldo Moro)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I5561750","host_organization_name":"University of Bari Aldo Moro","host_organization_lineage":["https://openalex.org/I5561750"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1709.06472","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1709.06472","pdf_url":"https://arxiv.org/pdf/1709.06472","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1533328589","https://openalex.org/W1979076588","https://openalex.org/W2015683881","https://openalex.org/W2025185856","https://openalex.org/W2032839191","https://openalex.org/W2083590256","https://openalex.org/W2088322284","https://openalex.org/W2088351880","https://openalex.org/W2094561576","https://openalex.org/W2130860507","https://openalex.org/W2913334907"],"related_works":[],"abstract_inverted_index":{"We":[0,21],"consider":[1],"the":[2,16,32,70,76,83],"reduced":[3],"dynamics":[4],"of":[5,26,75,85],"a":[6,13,23,27,36,45,62,67],"small":[7],"quantum":[8],"system":[9],"in":[10,31],"interaction":[11,77],"with":[12,66],"reservoir":[14,63],"when":[15],"initial":[17],"state":[18,53,64],"is":[19,40,54,61],"factorized.":[20],"present":[22],"rigorous":[24],"derivation":[25],"GKLS":[28],"master":[29],"equation":[30],"weak-coupling":[33],"limit":[34],"for":[35],"generic":[37],"bath,":[38],"which":[39],"not":[41,55],"assumed":[42],"to":[43],"have":[44],"bosonic":[46],"or":[47],"fermionic":[48],"nature,":[49],"and":[50],"whose":[51],"reference":[52],"necessarily":[56],"thermal.":[57],"The":[58],"crucial":[59],"assumption":[60],"endowed":[65],"mixing":[68],"property:":[69],"n-point":[71],"connected":[72],"correlation":[73],"function":[74],"must":[78],"be":[79],"asymptotically":[80],"bounded":[81],"by":[82],"product":[84],"two-point":[86],"functions":[87],"(clustering":[88],"property).":[89]},"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2017-09-25T00:00:00"}