{"id":"https://openalex.org/W3202770873","doi":"https://doi.org/10.3390/e23111544","title":"Intrinsic Entropy of Squeezed Quantum Fields and Nonequilibrium Quantum Dynamics of Cosmological Perturbations","display_name":"Intrinsic Entropy of Squeezed Quantum Fields and Nonequilibrium Quantum Dynamics of Cosmological Perturbations","publication_year":2021,"publication_date":"2021-11-20","ids":{"openalex":"https://openalex.org/W3202770873","doi":"https://doi.org/10.3390/e23111544","mag":"3202770873","pmid":"https://pubmed.ncbi.nlm.nih.gov/34828242","pmcid":"https://www.ncbi.nlm.nih.gov/pmc/articles/8621705"},"language":"en","primary_location":{"id":"doi:10.3390/e23111544","doi":"https://doi.org/10.3390/e23111544","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/e23111544","pdf_url":"https://www.mdpi.com/1099-4300/23/11/1544/pdf?version=1638274063","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","doaj","norway-1","poland-100","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["arxiv","crossref","datacite","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/23/11/1544/pdf?version=1638274063","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5042888445","display_name":"Jen-Tsung Hsiang","orcid":"https://orcid.org/0000-0002-9801-208X","observed_orcids":["https://orcid.org/0000-0002-9801-208X"]},"institutions":[{"id":"https://openalex.org/I22265921","display_name":"National Central University","ror":"https://ror.org/00944ve71","country_code":"TW","type":"education","lineage":["https://openalex.org/I22265921"]}],"countries":["TW"],"is_corresponding":true,"raw_author_name":"Jen-Tsung Hsiang","raw_affiliation_strings":["Center for High Energy and High Field Physics, National Central University, Taoyuan 32001, Taiwan, R.O.C","Center for High Energy and High Field Physics, National Central University, Taoyuan 32001, Taiwan"],"raw_orcid":"https://orcid.org/0000-0002-9801-208X","affiliations":[{"raw_affiliation_string":"Center for High Energy and High Field Physics, National Central University, Taoyuan 32001, Taiwan, R.O.C","institution_ids":["https://openalex.org/I22265921"]},{"raw_affiliation_string":"Center for High Energy and High Field Physics, National Central University, Taoyuan 32001, Taiwan","institution_ids":["https://openalex.org/I22265921"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056163037","display_name":"B. L. Hu","orcid":"https://orcid.org/0000-0003-2489-9914","observed_orcids":["https://orcid.org/0000-0003-2489-9914"]},"institutions":[{"id":"https://openalex.org/I4210151733","display_name":"Joint Quantum Institute","ror":"https://ror.org/04xz38214","country_code":"US","type":"facility","lineage":["https://openalex.org/I1321296531","https://openalex.org/I1343035065","https://openalex.org/I4210151733","https://openalex.org/I66946132"]},{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Bei-Lok Hu","raw_affiliation_strings":["Maryland Center for Fundamental Physics and Joint Quantum Institute, University of Maryland, College Park, MD 20742, USA","University of Maryland - College Park"],"raw_orcid":"https://orcid.org/0000-0003-2489-9914","affiliations":[{"raw_affiliation_string":"Maryland Center for Fundamental Physics and Joint Quantum Institute, University of Maryland, College Park, MD 20742, USA","institution_ids":["https://openalex.org/I4210151733","https://openalex.org/I66946132"]},{"raw_affiliation_string":"University of Maryland - College Park","institution_ids":["https://openalex.org/I66946132"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5042888445"],"corresponding_institution_ids":["https://openalex.org/I22265921"],"apc_list":{"value":1800,"currency":"CHF","value_usd":1944},"apc_paid":{"value":1800,"currency":"CHF","value_usd":1944},"fwci":1.6127,"has_fulltext":true,"cited_by_count":15,"citation_normalized_percentile":{"value":0.82190494,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":98},"biblio":{"volume":"23","issue":"11","first_page":"1544","last_page":"1544"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10095","display_name":"Cosmology and Gravitation Theories","score":0.9678000211715698,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"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/T10095","display_name":"Cosmology and Gravitation Theories","score":0.9678000211715698,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"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/T11415","display_name":"Noncommutative and Quantum Gravity Theories","score":0.008799999952316284,"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/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.006300000008195639,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/cosmological-perturbations","display_name":"cosmological perturbations","score":0.9049999713897705},{"id":"https://openalex.org/keywords/inflation-cosmology","display_name":"inflation (cosmology)","score":0.4189999997615814},{"id":"https://openalex.org/keywords/inflaton-fluctuations","display_name":"inflaton fluctuations","score":0.7850000262260437},{"id":"https://openalex.org/keywords/von-neumann-entropy","display_name":"von Neumann entropy","score":0.7990000247955322},{"id":"https://openalex.org/keywords/nonequilibrium-quantum-field-theory","display_name":"nonequilibrium quantum field theory","score":0.9629999995231628},{"id":"https://openalex.org/keywords/wigner-function","display_name":"Wigner function","score":0.6949999928474426},{"id":"https://openalex.org/keywords/density-matrix","display_name":"density matrix","score":0.640999972820282},{"id":"https://openalex.org/keywords/covariance-matrix","display_name":"covariance matrix","score":0.7749999761581421},{"id":"https://openalex.org/keywords/particle-number","display_name":"particle number","score":0.3869999945163727},{"id":"https://openalex.org/keywords/entanglement","display_name":"entanglement","score":0.621999979019165},{"id":"https://openalex.org/keywords/coherence","display_name":"coherence","score":0.5879999995231628},{"id":"https://openalex.org/keywords/gauge-invariant-variables","display_name":"gauge-invariant variables","score":0.6389999985694885},{"id":"https://openalex.org/keywords/density-contrast","display_name":"density contrast","score":0.3449999988079071}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.7779403924942017},{"id":"https://openalex.org/C139356082","wikidata":"https://www.wikidata.org/wiki/Q7269038","display_name":"Quantum discord","level":4,"score":0.6564606428146362},{"id":"https://openalex.org/C24495805","wikidata":"https://www.wikidata.org/wiki/Q7269091","display_name":"Quantum relative entropy","level":5,"score":0.5439791679382324},{"id":"https://openalex.org/C56911000","wikidata":"https://www.wikidata.org/wiki/Q831774","display_name":"Density matrix","level":3,"score":0.5093656778335571},{"id":"https://openalex.org/C101973423","wikidata":"https://www.wikidata.org/wiki/Q6961323","display_name":"Von Neumann entropy","level":4,"score":0.4976651966571808},{"id":"https://openalex.org/C190474826","wikidata":"https://www.wikidata.org/wiki/Q2495111","display_name":"Open quantum system","level":3,"score":0.4806741178035736},{"id":"https://openalex.org/C11255438","wikidata":"https://www.wikidata.org/wiki/Q7269085","display_name":"Quantum process","level":4,"score":0.45454686880111694},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.4432591497898102},{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.41918444633483887},{"id":"https://openalex.org/C15184713","wikidata":"https://www.wikidata.org/wiki/Q7269042","display_name":"Quantum dynamics","level":3,"score":0.4139694273471832},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.395189106464386},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.38503116369247437},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3377707600593567}],"mesh":[],"locations_count":7,"locations":[{"id":"doi:10.3390/e23111544","doi":"https://doi.org/10.3390/e23111544","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/e23111544","pdf_url":"https://www.mdpi.com/1099-4300/23/11/1544/pdf?version=1638274063","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","doaj","norway-1","poland-100","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},{"id":"pmh:oai:pubmedcentral.nih.gov:8621705","doi":null,"is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/8621705","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy (Basel)","raw_type":"Text"},{"id":"pmid:34828242","doi":null,"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/34828242","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy (Basel, Switzerland)","raw_type":"Journal Article"},{"id":"pmh:oai:arXiv.org:2110.02757","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2110.02757","pdf_url":"https://arxiv.org/pdf/2110.02757","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":"mag:3202770873","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/pdf/2110.02757.pdf","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:doaj.org/article:98801385e80f41d5a0a6d5b1a5570fe3","doi":null,"is_oa":true,"landing_page_url":"https://doaj.org/article/98801385e80f41d5a0a6d5b1a5570fe3","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,"listed_in":[],"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":"Entropy, Vol 23, Iss 11, p 1544 (2021)","raw_type":"article"},{"id":"doi:10.48550/arxiv.2110.02757","doi":"https://doi.org/10.48550/arxiv.2110.02757","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2110.02757","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":"article-journal"}],"best_oa_location":{"id":"doi:10.3390/e23111544","doi":"https://doi.org/10.3390/e23111544","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/e23111544","pdf_url":"https://www.mdpi.com/1099-4300/23/11/1544/pdf?version=1638274063","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","doaj","norway-1","poland-100","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G3031021503","display_name":null,"funder_award_id":"MOST 110-2811-M-008-522","funder_id":"https://openalex.org/F4320322795","funder_display_name":"Ministry of Science and Technology, Taiwan"}],"funders":[{"id":"https://openalex.org/F4320322795","display_name":"Ministry of Science and Technology, Taiwan","ror":"https://ror.org/02kv4zf79"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3202770873.pdf","grobid_xml":"https://content.openalex.org/works/W3202770873.grobid-xml"},"referenced_works_count":118,"referenced_works":["https://openalex.org/W111007863","https://openalex.org/W575537591","https://openalex.org/W1483893079","https://openalex.org/W1555237261","https://openalex.org/W1578322733","https://openalex.org/W1593303744","https://openalex.org/W1600506196","https://openalex.org/W1606664251","https://openalex.org/W1644042767","https://openalex.org/W1659163043","https://openalex.org/W1672059830","https://openalex.org/W1673947534","https://openalex.org/W1800399367","https://openalex.org/W1828475276","https://openalex.org/W1908268798","https://openalex.org/W1966009924","https://openalex.org/W1966702659","https://openalex.org/W1969065851","https://openalex.org/W1969195982","https://openalex.org/W1973266480","https://openalex.org/W1977733098","https://openalex.org/W1985745732","https://openalex.org/W1987010236","https://openalex.org/W1992204683","https://openalex.org/W1992259402","https://openalex.org/W1995166953","https://openalex.org/W1995404280","https://openalex.org/W1996496535","https://openalex.org/W1999759598","https://openalex.org/W2003832618","https://openalex.org/W2009047545","https://openalex.org/W2012706763","https://openalex.org/W2024983299","https://openalex.org/W2029803495","https://openalex.org/W2035784745","https://openalex.org/W2044845083","https://openalex.org/W2046654600","https://openalex.org/W2048277429","https://openalex.org/W2053387157","https://openalex.org/W2056471637","https://openalex.org/W2056982089","https://openalex.org/W2057953012","https://openalex.org/W2063969587","https://openalex.org/W2067693226","https://openalex.org/W2067960294","https://openalex.org/W2070303167","https://openalex.org/W2072032681","https://openalex.org/W2072489616","https://openalex.org/W2077470755","https://openalex.org/W2080272424","https://openalex.org/W2095653455","https://openalex.org/W2099407510","https://openalex.org/W2099864054","https://openalex.org/W2102078794","https://openalex.org/W2103932109","https://openalex.org/W2104453431","https://openalex.org/W2106526029","https://openalex.org/W2113395268","https://openalex.org/W2113784378","https://openalex.org/W2114196265","https://openalex.org/W2116056895","https://openalex.org/W2116586145","https://openalex.org/W2116905728","https://openalex.org/W2122083363","https://openalex.org/W2128149447","https://openalex.org/W2134251287","https://openalex.org/W2134990923","https://openalex.org/W2137642868","https://openalex.org/W2141299382","https://openalex.org/W2142204398","https://openalex.org/W2142685161","https://openalex.org/W2143054909","https://openalex.org/W2149345352","https://openalex.org/W2150512094","https://openalex.org/W2151285644","https://openalex.org/W2158657734","https://openalex.org/W2164459358","https://openalex.org/W2165577255","https://openalex.org/W2166490271","https://openalex.org/W2167488982","https://openalex.org/W2169912865","https://openalex.org/W2171297761","https://openalex.org/W2173216839","https://openalex.org/W2181284682","https://openalex.org/W2254980706","https://openalex.org/W2278676906","https://openalex.org/W2280266468","https://openalex.org/W2479529081","https://openalex.org/W2502188135","https://openalex.org/W2579087963","https://openalex.org/W2604064313","https://openalex.org/W2760957699","https://openalex.org/W2775199164","https://openalex.org/W2945776415","https://openalex.org/W2951166852","https://openalex.org/W2956152024","https://openalex.org/W2964286285","https://openalex.org/W2989698173","https://openalex.org/W3006032966","https://openalex.org/W3027128320","https://openalex.org/W3041165767","https://openalex.org/W3043120309","https://openalex.org/W3085175120","https://openalex.org/W3098584854","https://openalex.org/W3100004924","https://openalex.org/W3103709305","https://openalex.org/W3106269494","https://openalex.org/W3107891533","https://openalex.org/W3122220680","https://openalex.org/W3140714191","https://openalex.org/W3176162292","https://openalex.org/W3185365804","https://openalex.org/W3190706492","https://openalex.org/W4211005167","https://openalex.org/W4234779674","https://openalex.org/W4388167314","https://openalex.org/W4388248652","https://openalex.org/W6691701470"],"related_works":["https://openalex.org/W1996496535","https://openalex.org/W1995166953","https://openalex.org/W2029397673","https://openalex.org/W1969065851","https://openalex.org/W7099553379","https://openalex.org/W1644042767","https://openalex.org/W2149345352","https://openalex.org/W7125385357","https://openalex.org/W7098654773","https://openalex.org/W7097189113"],"abstract_inverted_index":{"Density":[0],"contrasts":[1],"in":[2,14,65],"the":[3,41,54,66,110,115,122,125,130,137,146,149,160,167,170,176,186,207],"universe":[4],"are":[5],"governed":[6],"by":[7,62,193],"scalar":[8,24],"cosmological":[9,44,57],"perturbations":[10,26,58],"which,":[11],"when":[12],"expressed":[13],"terms":[15],"of":[16,43,56,68,73,114,124,189,206],"gauge-invariant":[17],"variables,":[18],"contain":[19],"a":[20,28,47,74,79,97],"classical":[21,190],"component":[22,30],"from":[23,31,89,134],"metric":[25],"and":[27,119,129,183,204],"quantum":[29,48,70,76,101,117,180,199,208],"inflaton":[32],"field":[33,49,77,102,118],"fluctuations.":[34],"It":[35],"has":[36],"long":[37],"been":[38],"known":[39],"that":[40],"effect":[42],"expansion":[45],"on":[46],"amounts":[50],"to":[51,159],"squeezing.":[52],"Thus,":[53],"entropy":[55,147],"can":[59],"be":[60],"studied":[61],"treating":[63],"them":[64],"framework":[67],"squeezed":[69,150],"systems.":[71,107],"Entropy":[72],"free":[75],"is":[78,154,157],"seemingly":[80],"simple":[81],"yet":[82,151],"subtle":[83],"issue.":[84],"In":[85],"this":[86,94],"paper,":[87],"different":[88],"previous":[90],"treatments,":[91],"we":[92],"tackle":[93],"issue":[95],"with":[96],"fully":[98],"developed":[99],"nonequilibrium":[100],"theory":[103],"formalism":[104],"for":[105,121,148],"such":[106,201],"We":[108,141,173],"compute":[109],"covariance":[111],"matrix":[112,127],"elements":[113,128],"parametric":[116],"solve":[120],"evolution":[123],"density":[126],"Wigner":[131],"functions,":[132],"and,":[133],"them,":[135],"derive":[136],"von":[138],"Neumann":[139],"entropy.":[140],"then":[142],"show":[143],"explicitly":[144],"why":[145],"closed":[152],"system":[153],"zero,":[155],"but":[156],"proportional":[158],"particle":[161,171],"number":[162],"produced":[163],"upon":[164],"coarse-graining":[165],"out":[166],"correlation":[168],"between":[169,178],"pairs.":[172],"also":[174],"construct":[175],"bridge":[177],"our":[179],"field-theoretic":[181],"results":[182],"those":[184],"using":[185],"probability":[187],"distribution":[188],"stochastic":[191],"fields":[192],"earlier":[194],"authors,":[195],"preserving":[196],"some":[197],"important":[198],"properties,":[200],"as":[202],"entanglement":[203],"coherence,":[205],"field.":[209]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":1}],"updated_date":"2026-10-28T10:33:24.094632","created_date":"2021-10-11T00:00:00"}
