{"id":"https://openalex.org/W4408872097","doi":"https://doi.org/10.22331/q-2025-03-26-1677","title":"Mpemba effect and super-accelerated thermalization in the damped quantum harmonic oscillator","display_name":"Mpemba effect and super-accelerated thermalization in the damped quantum harmonic oscillator","publication_year":2025,"publication_date":"2025-03-26","ids":{"openalex":"https://openalex.org/W4408872097","doi":"https://doi.org/10.22331/q-2025-03-26-1677"},"language":"en","primary_location":{"id":"doi:10.22331/q-2025-03-26-1677","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2025-03-26-1677","pdf_url":"https://quantum-journal.org/papers/q-2025-03-26-1677/pdf/","source":{"id":"https://openalex.org/S4210226432","display_name":"Quantum","issn_l":"2521-327X","issn":["2521-327X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317900","host_organization_name":"Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften","host_organization_lineage":["https://openalex.org/P4310317900"],"host_organization_lineage_names":["Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://quantum-journal.org/papers/q-2025-03-26-1677/pdf/","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5001137611","display_name":"Stefano Longhi","orcid":"https://orcid.org/0000-0002-8739-3542"},"institutions":[{"id":"https://openalex.org/I4210095952","display_name":"Institute for Cross-Disciplinary Physics and Complex Systems","ror":"https://ror.org/00pfxsh56","country_code":"ES","type":"facility","lineage":["https://openalex.org/I134820265","https://openalex.org/I4210095952","https://openalex.org/I50441567"]},{"id":"https://openalex.org/I93860229","display_name":"Politecnico di Milano","ror":"https://ror.org/01nffqt88","country_code":"IT","type":"education","lineage":["https://openalex.org/I93860229"]}],"countries":["ES","IT"],"is_corresponding":true,"raw_author_name":"Stefano Longhi","raw_affiliation_strings":["Dipartimento di Fisica, Politecnico di Milano, Piazza L. da Vinci 32, I-20133 Milano, Italy & IFISC (UIB-CSIC), Instituto de Fisica Interdisciplinar y Sistemas Complejos - Palma de Mallorca, Spain"],"raw_orcid":"https://orcid.org/0000-0002-8739-3542","affiliations":[{"raw_affiliation_string":"Dipartimento di Fisica, Politecnico di Milano, Piazza L. da Vinci 32, I-20133 Milano, Italy & IFISC (UIB-CSIC), Instituto de Fisica Interdisciplinar y Sistemas Complejos - Palma de Mallorca, Spain","institution_ids":["https://openalex.org/I4210095952","https://openalex.org/I93860229"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5001137611"],"corresponding_institution_ids":["https://openalex.org/I4210095952","https://openalex.org/I93860229"],"apc_list":{"value":200,"currency":"EUR","value_usd":215},"apc_paid":{"value":200,"currency":"EUR","value_usd":215},"fwci":13.7765,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.99069028,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"9","issue":null,"first_page":"1677","last_page":"1677"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"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/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"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/T10622","display_name":"Quantum Mechanics and Applications","score":0.9980999827384949,"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":0.9979000091552734,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/thermalisation","display_name":"Thermalisation","score":0.8100844621658325},{"id":"https://openalex.org/keywords/harmonic-oscillator","display_name":"Harmonic oscillator","score":0.7272955775260925},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.6394460797309875},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.59004145860672},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.4900602102279663},{"id":"https://openalex.org/keywords/quantum-harmonic-oscillator","display_name":"Quantum harmonic oscillator","score":0.48590222001075745},{"id":"https://openalex.org/keywords/harmonic","display_name":"Harmonic","score":0.43510979413986206},{"id":"https://openalex.org/keywords/quantum-electrodynamics","display_name":"Quantum electrodynamics","score":0.4215085804462433},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.35402143001556396}],"concepts":[{"id":"https://openalex.org/C15359245","wikidata":"https://www.wikidata.org/wiki/Q1347805","display_name":"Thermalisation","level":2,"score":0.8100844621658325},{"id":"https://openalex.org/C40934718","wikidata":"https://www.wikidata.org/wiki/Q190070","display_name":"Harmonic oscillator","level":2,"score":0.7272955775260925},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.6394460797309875},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.59004145860672},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.4900602102279663},{"id":"https://openalex.org/C122332657","wikidata":"https://www.wikidata.org/wiki/Q677864","display_name":"Quantum harmonic oscillator","level":3,"score":0.48590222001075745},{"id":"https://openalex.org/C127934551","wikidata":"https://www.wikidata.org/wiki/Q1148098","display_name":"Harmonic","level":2,"score":0.43510979413986206},{"id":"https://openalex.org/C3079626","wikidata":"https://www.wikidata.org/wiki/Q234881","display_name":"Quantum electrodynamics","level":1,"score":0.4215085804462433},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.35402143001556396}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.22331/q-2025-03-26-1677","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2025-03-26-1677","pdf_url":"https://quantum-journal.org/papers/q-2025-03-26-1677/pdf/","source":{"id":"https://openalex.org/S4210226432","display_name":"Quantum","issn_l":"2521-327X","issn":["2521-327X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317900","host_organization_name":"Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften","host_organization_lineage":["https://openalex.org/P4310317900"],"host_organization_lineage_names":["Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum","raw_type":"journal-article"},{"id":"pmh:oai:digital.csic.es:10261/405170","is_oa":true,"landing_page_url":"https://api.elsevier.com/content/abstract/scopus_id/105001371247","pdf_url":null,"source":{"id":"https://openalex.org/S4306401639","display_name":"DIGITAL.CSIC (Spanish National Research Council (CSIC))","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I134820265","host_organization_name":"Consejo Superior de Investigaciones Cient\u00edficas","host_organization_lineage":["https://openalex.org/I134820265"],"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/publishedVersion"},{"id":"pmh:oai:doaj.org/article:90c684a811fe476192c468f71399ccc6","is_oa":true,"landing_page_url":"https://doaj.org/article/90c684a811fe476192c468f71399ccc6","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Quantum, Vol 9, p 1677 (2025)","raw_type":"article"},{"id":"pmh:oai:re.public.polimi.it:11311/1293607","is_oa":true,"landing_page_url":"https://hdl.handle.net/11311/1293607","pdf_url":null,"source":{"id":"https://openalex.org/S4306400312","display_name":"Virtual Community of Pathological Anatomy (University of Castilla La Mancha)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79189158","host_organization_name":"University of Castilla-La Mancha","host_organization_lineage":["https://openalex.org/I79189158"],"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":"doi:10.22331/q-2025-03-26-1677","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2025-03-26-1677","pdf_url":"https://quantum-journal.org/papers/q-2025-03-26-1677/pdf/","source":{"id":"https://openalex.org/S4210226432","display_name":"Quantum","issn_l":"2521-327X","issn":["2521-327X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317900","host_organization_name":"Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften","host_organization_lineage":["https://openalex.org/P4310317900"],"host_organization_lineage_names":["Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4408872097.pdf"},"referenced_works_count":61,"referenced_works":["https://openalex.org/W1578322733","https://openalex.org/W1964381740","https://openalex.org/W1964488615","https://openalex.org/W1977730396","https://openalex.org/W2000194989","https://openalex.org/W2014418086","https://openalex.org/W2021635613","https://openalex.org/W2030993441","https://openalex.org/W2032436105","https://openalex.org/W2037279850","https://openalex.org/W2044868702","https://openalex.org/W2059680847","https://openalex.org/W2064415873","https://openalex.org/W2091261194","https://openalex.org/W2095207998","https://openalex.org/W2098815781","https://openalex.org/W2139801122","https://openalex.org/W2150332256","https://openalex.org/W2163440371","https://openalex.org/W2311342549","https://openalex.org/W2504505816","https://openalex.org/W2522533512","https://openalex.org/W2582831436","https://openalex.org/W2771034633","https://openalex.org/W2946990448","https://openalex.org/W3047561686","https://openalex.org/W3086829980","https://openalex.org/W3092814812","https://openalex.org/W3100643326","https://openalex.org/W3102194997","https://openalex.org/W3104865502","https://openalex.org/W3176526372","https://openalex.org/W3186013846","https://openalex.org/W3213409898","https://openalex.org/W4244591360","https://openalex.org/W4285391431","https://openalex.org/W4364381568","https://openalex.org/W4383341521","https://openalex.org/W4385359471","https://openalex.org/W4385406309","https://openalex.org/W4386072968","https://openalex.org/W4387528508","https://openalex.org/W4391709984","https://openalex.org/W4396986654","https://openalex.org/W4400199101","https://openalex.org/W4400199143","https://openalex.org/W4400199451","https://openalex.org/W4400948862","https://openalex.org/W4401510106","https://openalex.org/W4401513825","https://openalex.org/W4401747883","https://openalex.org/W4402762970","https://openalex.org/W4402921998","https://openalex.org/W4403130989","https://openalex.org/W4403131104","https://openalex.org/W4403995721","https://openalex.org/W4404482732","https://openalex.org/W4406022267","https://openalex.org/W4406104415","https://openalex.org/W4407739005","https://openalex.org/W4408304468"],"related_works":["https://openalex.org/W2384257574","https://openalex.org/W3207788789","https://openalex.org/W3183408690","https://openalex.org/W2013238018","https://openalex.org/W2512579123","https://openalex.org/W2351970798","https://openalex.org/W2288202284","https://openalex.org/W4312306236","https://openalex.org/W1596666970","https://openalex.org/W3151650878"],"abstract_inverted_index":{"The":[0,221],"behavior":[1],"of":[2,26,87,97,110,127,132,140,154,165,197,234,247],"systems":[3],"far":[4],"from":[5,20,46],"equilibrium":[6,21,167,174,203],"is":[7,28,225,250],"often":[8],"complex":[9],"and":[10,13,56,73,94,145,240],"unpredictable,":[11],"challenging":[12],"sometimes":[14,38],"overturning":[15],"the":[16,29,53,88,101,108,133,138,157,166,245],"physical":[17],"intuition":[18],"derived":[19],"scenarios.":[22],"One":[23],"striking":[24],"example":[25],"this":[27,59,80],"Mpemba":[30,89,187],"effect,":[31],"which":[32,106],"implies":[33],"that":[34,150,200],"non-equilibrium":[35],"states":[36,236],"can":[37,192],"relax":[39,201],"more":[40],"rapidly":[41],"when":[42],"they":[43],"are":[44],"further":[45],"equilibrium.":[47],"Despite":[48],"a":[49,84,92,111,117,170,176,185,194,212,231,241],"rich":[50],"historical":[51],"background,":[52],"precise":[54],"conditions":[55],"mechanisms":[57],"behind":[58],"phenomenon":[60],"remain":[61],"unclear.":[62],"Recently,":[63],"there":[64],"has":[65],"been":[66],"growing":[67],"interest":[68],"in":[69,91,114,142],"investigating":[70],"accelerated":[71],"relaxation":[72,109,134,172,223],"Mpemba-like":[74],"effects":[75],"within":[76],"quantum":[77,85,99,103],"systems.":[78],"In":[79,189],"work,":[81],"we":[82,148],"explore":[83],"manifestation":[86],"effect":[90,224],"simple":[93],"paradigmatic":[95],"model":[96],"open":[98],"systems:":[100],"damped":[102],"harmonic":[104],"oscillator,":[105],"describes":[107],"bosonic":[112],"mode":[113],"contact":[115],"with":[116,156,180,211,237],"thermal":[118,209],"bath":[119],"at":[120,175],"finite":[121],"temperature":[122,213],"<mml:math":[123,159,181,214,219],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>T</mml:mi></mml:math>.":[124,220],"By":[125],"means":[126],"an":[128],"exact":[129],"analytical":[130],"analysis":[131],"dynamics":[135],"based":[136],"on":[137],"method":[139],"moments":[141,161],"both":[143],"population":[144],"coherence":[146],"subspaces,":[147],"demonstrate":[149],"any":[151,206],"initial":[152,208,235],"distribution":[153,168],"populations":[155],"first":[158],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>r</mml:mi></mml:math>":[160],"exactly":[162],"matching":[163],"those":[164],"shows":[169],"super-accelerated":[171,222,248],"to":[173,184,202,218,227],"rate":[177],"linearly":[178],"increasing":[179],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>r</mml:mi></mml:math>,":[182],"leading":[183],"pronounced":[186],"effect.":[188],"particular,":[190],"one":[191],"find":[193],"broad":[195,232],"class":[196,233],"far-from-equilibrium":[198],"distributions":[199],"faster":[204],"than":[205],"other":[207],"state":[210],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:msup><mml:mi>T</mml:mi><mml:mo>&amp;#x2032;</mml:mo></mml:msup></mml:math>":[215],"arbitrarily":[216],"close":[217],"shown":[226],"persist":[228],"even":[229],"for":[230,244],"non-vanishing":[238],"coherences,":[239],"general":[242],"criterion":[243],"observation":[246],"thermalization":[249],"presented.":[251]},"counts_by_year":[{"year":2026,"cited_by_count":7},{"year":2025,"cited_by_count":8}],"updated_date":"2026-06-27T08:28:00.272161","created_date":"2025-10-10T00:00:00"}
