{"id":"https://openalex.org/W4320028523","doi":"https://doi.org/10.1142/s1230161222500196","title":"Non-Perturbative Treatment of Open-System Multi-Time Expectation Values in Gaussian Bosonic Environments","display_name":"Non-Perturbative Treatment of Open-System Multi-Time Expectation Values in Gaussian Bosonic Environments","publication_year":2022,"publication_date":"2022-12-01","ids":{"openalex":"https://openalex.org/W4320028523","doi":"https://doi.org/10.1142/s1230161222500196"},"language":"en","primary_location":{"id":"doi:10.1142/s1230161222500196","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1230161222500196","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":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://air.unimi.it/bitstream/2434/954122/2/2209.00293.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5078107712","display_name":"Andrea Smirne","orcid":"https://orcid.org/0000-0003-4698-9304"},"institutions":[{"id":"https://openalex.org/I189158943","display_name":"University of Milan","ror":"https://ror.org/00wjc7c48","country_code":"IT","type":"education","lineage":["https://openalex.org/I189158943"]},{"id":"https://openalex.org/I4210136779","display_name":"Istituto Nazionale di Fisica Nucleare, Sezione di Milano","ror":"https://ror.org/04w4m6z96","country_code":"IT","type":"facility","lineage":["https://openalex.org/I160013858","https://openalex.org/I4210136779"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Andrea Smirne","raw_affiliation_strings":["Dipartimento di Fisica \u201cAldo Pontremoli\u201d, Universit\u00e0 degli Studi di Milano, Via Celoria 16, 20133 Milano-Italy","Istituto Nazionale di Fisica Nucleare, Sezione di Milano, Via Celoria 16, 20133 Milano-Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Fisica \u201cAldo Pontremoli\u201d, Universit\u00e0 degli Studi di Milano, Via Celoria 16, 20133 Milano-Italy","institution_ids":["https://openalex.org/I189158943"]},{"raw_affiliation_string":"Istituto Nazionale di Fisica Nucleare, Sezione di Milano, Via Celoria 16, 20133 Milano-Italy","institution_ids":["https://openalex.org/I4210136779"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055139207","display_name":"Dario Tamascelli","orcid":"https://orcid.org/0000-0001-6575-4469"},"institutions":[{"id":"https://openalex.org/I4210113675","display_name":"Center for Integrated Quantum Science and Technology","ror":"https://ror.org/01z25am55","country_code":"DE","type":"facility","lineage":["https://openalex.org/I100066346","https://openalex.org/I149899117","https://openalex.org/I196349391","https://openalex.org/I4210088365","https://openalex.org/I4210113675"]},{"id":"https://openalex.org/I189158943","display_name":"University of Milan","ror":"https://ror.org/00wjc7c48","country_code":"IT","type":"education","lineage":["https://openalex.org/I189158943"]},{"id":"https://openalex.org/I196349391","display_name":"Universit\u00e4t Ulm","ror":"https://ror.org/032000t02","country_code":"DE","type":"education","lineage":["https://openalex.org/I196349391"]}],"countries":["DE","IT"],"is_corresponding":false,"raw_author_name":"Dario Tamascelli","raw_affiliation_strings":["Dipartimento di Fisica \u201cAldo Pontremoli\u201d, Universit\u00e0 degli Studi di Milano, Via Celoria 16, 20133 Milano-Italy","Institut f\u00fcr Theoretische Physik and Center for Integrated Quantum Science and Technology (IQST), Albert-Einstein-Allee 11, Universit\u00e4t Ulm, 89069 Ulm, Germany"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Fisica \u201cAldo Pontremoli\u201d, Universit\u00e0 degli Studi di Milano, Via Celoria 16, 20133 Milano-Italy","institution_ids":["https://openalex.org/I189158943"]},{"raw_affiliation_string":"Institut f\u00fcr Theoretische Physik and Center for Integrated Quantum Science and Technology (IQST), Albert-Einstein-Allee 11, Universit\u00e4t Ulm, 89069 Ulm, Germany","institution_ids":["https://openalex.org/I4210113675","https://openalex.org/I196349391"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024094804","display_name":"James Lim","orcid":"https://orcid.org/0009-0000-7409-0553"},"institutions":[{"id":"https://openalex.org/I196349391","display_name":"Universit\u00e4t Ulm","ror":"https://ror.org/032000t02","country_code":"DE","type":"education","lineage":["https://openalex.org/I196349391"]},{"id":"https://openalex.org/I4210113675","display_name":"Center for Integrated Quantum Science and Technology","ror":"https://ror.org/01z25am55","country_code":"DE","type":"facility","lineage":["https://openalex.org/I100066346","https://openalex.org/I149899117","https://openalex.org/I196349391","https://openalex.org/I4210088365","https://openalex.org/I4210113675"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"James Lim","raw_affiliation_strings":["Institut f\u00fcr Theoretische Physik and Center for Integrated Quantum Science and Technology (IQST), Albert-Einstein-Allee 11, Universit\u00e4t Ulm, 89069 Ulm, Germany"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Theoretische Physik and Center for Integrated Quantum Science and Technology (IQST), Albert-Einstein-Allee 11, Universit\u00e4t Ulm, 89069 Ulm, Germany","institution_ids":["https://openalex.org/I4210113675","https://openalex.org/I196349391"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068294840","display_name":"Martin B. Plenio","orcid":"https://orcid.org/0000-0003-4238-8843"},"institutions":[{"id":"https://openalex.org/I196349391","display_name":"Universit\u00e4t Ulm","ror":"https://ror.org/032000t02","country_code":"DE","type":"education","lineage":["https://openalex.org/I196349391"]},{"id":"https://openalex.org/I4210113675","display_name":"Center for Integrated Quantum Science and Technology","ror":"https://ror.org/01z25am55","country_code":"DE","type":"facility","lineage":["https://openalex.org/I100066346","https://openalex.org/I149899117","https://openalex.org/I196349391","https://openalex.org/I4210088365","https://openalex.org/I4210113675"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Martin B. Plenio","raw_affiliation_strings":["Institut f\u00fcr Theoretische Physik and Center for Integrated Quantum Science and Technology (IQST), Albert-Einstein-Allee 11, Universit\u00e4t Ulm, 89069 Ulm, Germany"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Theoretische Physik and Center for Integrated Quantum Science and Technology (IQST), Albert-Einstein-Allee 11, Universit\u00e4t Ulm, 89069 Ulm, Germany","institution_ids":["https://openalex.org/I4210113675","https://openalex.org/I196349391"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041968174","display_name":"Susana F. Huelga","orcid":"https://orcid.org/0000-0003-1277-8154"},"institutions":[{"id":"https://openalex.org/I196349391","display_name":"Universit\u00e4t Ulm","ror":"https://ror.org/032000t02","country_code":"DE","type":"education","lineage":["https://openalex.org/I196349391"]},{"id":"https://openalex.org/I4210113675","display_name":"Center for Integrated Quantum Science and Technology","ror":"https://ror.org/01z25am55","country_code":"DE","type":"facility","lineage":["https://openalex.org/I100066346","https://openalex.org/I149899117","https://openalex.org/I196349391","https://openalex.org/I4210088365","https://openalex.org/I4210113675"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Susana F. Huelga","raw_affiliation_strings":["Institut f\u00fcr Theoretische Physik and Center for Integrated Quantum Science and Technology (IQST), Albert-Einstein-Allee 11, Universit\u00e4t Ulm, 89069 Ulm, Germany"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Theoretische Physik and Center for Integrated Quantum Science and Technology (IQST), Albert-Einstein-Allee 11, Universit\u00e4t Ulm, 89069 Ulm, Germany","institution_ids":["https://openalex.org/I4210113675","https://openalex.org/I196349391"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5078107712"],"corresponding_institution_ids":["https://openalex.org/I189158943","https://openalex.org/I4210136779"],"apc_list":null,"apc_paid":null,"fwci":0.9659,"has_fulltext":true,"cited_by_count":8,"citation_normalized_percentile":{"value":0.80270013,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":"29","issue":"04","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.9997000098228455,"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/T11177","display_name":"Spectroscopy and Quantum Chemical Studies","score":0.9997000098228455,"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/T11414","display_name":"Quantum optics and atomic interactions","score":0.9994000196456909,"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/unitary-state","display_name":"Unitary state","score":0.7117158770561218},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.6395381689071655},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.6118789911270142},{"id":"https://openalex.org/keywords/time-evolution","display_name":"Time evolution","score":0.5093740224838257},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.4622397720813751},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.4593006372451782},{"id":"https://openalex.org/keywords/quantum-system","display_name":"Quantum system","score":0.43851351737976074},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.43791434168815613},{"id":"https://openalex.org/keywords/open-system","display_name":"Open system (computing)","score":0.4159843623638153},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.40382421016693115},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.34096935391426086},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.21367859840393066},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1397244930267334}],"concepts":[{"id":"https://openalex.org/C67820243","wikidata":"https://www.wikidata.org/wiki/Q179164","display_name":"Unitary state","level":2,"score":0.7117158770561218},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.6395381689071655},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.6118789911270142},{"id":"https://openalex.org/C106553664","wikidata":"https://www.wikidata.org/wiki/Q1156744","display_name":"Time evolution","level":2,"score":0.5093740224838257},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4622397720813751},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.4593006372451782},{"id":"https://openalex.org/C2778926657","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum system","level":3,"score":0.43851351737976074},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.43791434168815613},{"id":"https://openalex.org/C163677043","wikidata":"https://www.wikidata.org/wiki/Q2382874","display_name":"Open system (computing)","level":3,"score":0.4159843623638153},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40382421016693115},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.34096935391426086},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.21367859840393066},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1397244930267334},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C2777904410","wikidata":"https://www.wikidata.org/wiki/Q7397","display_name":"Software","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s1230161222500196","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1230161222500196","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:air.unimi.it:2434/954122","is_oa":true,"landing_page_url":"https://hdl.handle.net/2434/954122","pdf_url":"https://air.unimi.it/bitstream/2434/954122/2/2209.00293.pdf","source":{"id":"https://openalex.org/S4306400516","display_name":"Archivio Istituzionale della Ricerca (Universita Degli Studi Di Milano)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I189158943","host_organization_name":"University of Milan","host_organization_lineage":["https://openalex.org/I189158943"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:air.unimi.it:2434/954122","is_oa":true,"landing_page_url":"https://hdl.handle.net/2434/954122","pdf_url":"https://air.unimi.it/bitstream/2434/954122/2/2209.00293.pdf","source":{"id":"https://openalex.org/S4306400516","display_name":"Archivio Istituzionale della Ricerca (Universita Degli Studi Di Milano)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I189158943","host_organization_name":"University of Milan","host_organization_lineage":["https://openalex.org/I189158943"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[{"score":0.41999998688697815,"display_name":"Life in Land","id":"https://metadata.un.org/sdg/15"}],"awards":[{"id":"https://openalex.org/G8291795698","display_name":null,"funder_award_id":"PSR-2 2021","funder_id":"https://openalex.org/F4320313475","funder_display_name":"Universit\u00e0 degli Studi di Milano"},{"id":"https://openalex.org/G8496758398","display_name":null,"funder_award_id":"PSR-2 2020","funder_id":"https://openalex.org/F4320313475","funder_display_name":"Universit\u00e0 degli Studi di Milano"}],"funders":[{"id":"https://openalex.org/F4320313475","display_name":"Universit\u00e0 degli Studi di Milano","ror":"https://ror.org/00wjc7c48"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4320028523.pdf"},"referenced_works_count":46,"referenced_works":["https://openalex.org/W1522874822","https://openalex.org/W1662373048","https://openalex.org/W1978607448","https://openalex.org/W2000272268","https://openalex.org/W2002546625","https://openalex.org/W2009958754","https://openalex.org/W2015683881","https://openalex.org/W2016236587","https://openalex.org/W2021918581","https://openalex.org/W2024210212","https://openalex.org/W2032839191","https://openalex.org/W2049844449","https://openalex.org/W2050274651","https://openalex.org/W2052199078","https://openalex.org/W2054857942","https://openalex.org/W2115528917","https://openalex.org/W2129056344","https://openalex.org/W2148754632","https://openalex.org/W2171379820","https://openalex.org/W2371210593","https://openalex.org/W2566990158","https://openalex.org/W2615757598","https://openalex.org/W2755220802","https://openalex.org/W2755566817","https://openalex.org/W2781250181","https://openalex.org/W2784702147","https://openalex.org/W2800443551","https://openalex.org/W2899056373","https://openalex.org/W2906080600","https://openalex.org/W2920676194","https://openalex.org/W2937423984","https://openalex.org/W2960134708","https://openalex.org/W2974117502","https://openalex.org/W2996051602","https://openalex.org/W3000705579","https://openalex.org/W3020201006","https://openalex.org/W3099191874","https://openalex.org/W3099449810","https://openalex.org/W3102598476","https://openalex.org/W3103440740","https://openalex.org/W3105839067","https://openalex.org/W3106269494","https://openalex.org/W3216422194","https://openalex.org/W4224436695","https://openalex.org/W4281401659","https://openalex.org/W4298109480"],"related_works":["https://openalex.org/W3100626894","https://openalex.org/W2964067617","https://openalex.org/W2786120832","https://openalex.org/W2609839675","https://openalex.org/W3102190659","https://openalex.org/W1969223729","https://openalex.org/W2772616407","https://openalex.org/W1999444735","https://openalex.org/W4291595158","https://openalex.org/W2013586640"],"abstract_inverted_index":{"We":[0,44],"determine":[1],"the":[2,5,8,47,59,66,71,84,115,118],"conditions":[3],"for":[4,117],"equivalence":[6,48],"between":[7],"multi-time":[9,85,122],"expectation":[10,86],"values":[11,87],"of":[12,65,83,88,92,101,106,110,120],"a":[13,26,31,35,40,80,98,107],"general":[14,126],"finite-dimensional":[15],"open":[16,93],"quantum":[17,94],"system":[18],"when":[19],"interacting":[20,96],"with,":[21],"respectively,":[22],"an":[23],"environment":[24,33],"undergoing":[25],"free":[27,36],"unitary":[28],"evolution":[29,37],"or":[30],"discrete":[32],"under":[34],"fixed":[38],"by":[39,104],"proper":[41],"Gorini-Kossakowski-Lindblad-Sudarshan":[42],"generator.":[43],"prove":[45],"that":[46],"holds":[49],"if":[50,58],"both":[51],"environments":[52],"are":[53,70],"bosonic":[54,102],"and":[55,57,61,90],"Gaussian":[56],"one-":[60],"two-time":[62],"correlation":[63],"functions":[64],"corresponding":[67],"interaction":[68],"operators":[69,89],"same":[72],"at":[73],"all":[74],"times.":[75],"This":[76],"result":[77],"leads":[78],"to":[79],"non-perturbative":[81],"evaluation":[82],"maps":[91],"systems":[95],"with":[97],"continuous":[99],"set":[100],"modes":[103],"means":[105],"limited":[108],"number":[109],"damped":[111],"modes,":[112],"thus":[113],"setting":[114],"ground":[116],"investigation":[119],"open-system":[121],"quantities":[123],"in":[124],"fully":[125],"regimes.":[127]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3}],"updated_date":"2026-03-11T14:59:36.786465","created_date":"2025-10-10T00:00:00"}