{"id":"https://openalex.org/W4286857265","doi":"https://doi.org/10.22331/q-2022-05-24-719","title":"Analytical framework for non-equilibrium phase transition to Bose\u2013Einstein condensate","display_name":"Analytical framework for non-equilibrium phase transition to Bose\u2013Einstein condensate","publication_year":2022,"publication_date":"2022-05-24","ids":{"openalex":"https://openalex.org/W4286857265","doi":"https://doi.org/10.22331/q-2022-05-24-719"},"language":"en","primary_location":{"id":"doi:10.22331/q-2022-05-24-719","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2022-05-24-719","pdf_url":"https://quantum-journal.org/papers/q-2022-05-24-719/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":["arxiv","crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://quantum-journal.org/papers/q-2022-05-24-719/pdf/","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"V. Yu. Shishkov","orcid":"https://orcid.org/0000-0002-2445-2701"},"institutions":[{"id":"https://openalex.org/I125989756","display_name":"Skolkovo Institute of Science and Technology","ror":"https://ror.org/03f9nc143","country_code":"RU","type":"education","lineage":["https://openalex.org/I125989756"]},{"id":"https://openalex.org/I153845743","display_name":"Moscow Institute of Physics and Technology","ror":"https://ror.org/00v0z9322","country_code":"RU","type":"education","lineage":["https://openalex.org/I153845743"]},{"id":"https://openalex.org/I4210106534","display_name":"All Russia Research Institute of Automatics","ror":"https://ror.org/01kp4cp54","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1296541250","https://openalex.org/I4210106534"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"V. Yu. Shishkov","raw_affiliation_strings":["Center for Photonics and Quantum Materials, Skolkovo Institute of Science and Technology, Moscow, Russian Federation","Dukhov Research Institute of Automatics (VNIIA), 22 Sushchevskaya, Moscow 127055, Russia;","Laboratories for Hybrid Photonics, Skolkovo Institute of Science and Technology, Moscow, Russian Federation","Moscow Institute of Physics and Technology, 9 Institutskiy pereulok, Dolgoprudny 141700, Moscow region, Russia;"],"affiliations":[{"raw_affiliation_string":"Center for Photonics and Quantum Materials, Skolkovo Institute of Science and Technology, Moscow, Russian Federation","institution_ids":["https://openalex.org/I125989756"]},{"raw_affiliation_string":"Dukhov Research Institute of Automatics (VNIIA), 22 Sushchevskaya, Moscow 127055, Russia;","institution_ids":["https://openalex.org/I4210106534"]},{"raw_affiliation_string":"Laboratories for Hybrid Photonics, Skolkovo Institute of Science and Technology, Moscow, Russian Federation","institution_ids":["https://openalex.org/I125989756"]},{"raw_affiliation_string":"Moscow Institute of Physics and Technology, 9 Institutskiy pereulok, Dolgoprudny 141700, Moscow region, Russia;","institution_ids":["https://openalex.org/I153845743"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038064113","display_name":"E. S. Andrianov","orcid":"https://orcid.org/0000-0002-7424-0205"},"institutions":[{"id":"https://openalex.org/I125989756","display_name":"Skolkovo Institute of Science and Technology","ror":"https://ror.org/03f9nc143","country_code":"RU","type":"education","lineage":["https://openalex.org/I125989756"]},{"id":"https://openalex.org/I153845743","display_name":"Moscow Institute of Physics and Technology","ror":"https://ror.org/00v0z9322","country_code":"RU","type":"education","lineage":["https://openalex.org/I153845743"]},{"id":"https://openalex.org/I4210106534","display_name":"All Russia Research Institute of Automatics","ror":"https://ror.org/01kp4cp54","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1296541250","https://openalex.org/I4210106534"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"E. S. Andrianov","raw_affiliation_strings":["Center for Photonics and Quantum Materials, Skolkovo Institute of Science and Technology, Moscow, Russian Federation","Dukhov Research Institute of Automatics (VNIIA), 22 Sushchevskaya, Moscow 127055, Russia;","Laboratories for Hybrid Photonics, Skolkovo Institute of Science and Technology, Moscow, Russian Federation","Moscow Institute of Physics and Technology, 9 Institutskiy pereulok, Dolgoprudny 141700, Moscow region, Russia;"],"affiliations":[{"raw_affiliation_string":"Center for Photonics and Quantum Materials, Skolkovo Institute of Science and Technology, Moscow, Russian Federation","institution_ids":["https://openalex.org/I125989756"]},{"raw_affiliation_string":"Dukhov Research Institute of Automatics (VNIIA), 22 Sushchevskaya, Moscow 127055, Russia;","institution_ids":["https://openalex.org/I4210106534"]},{"raw_affiliation_string":"Laboratories for Hybrid Photonics, Skolkovo Institute of Science and Technology, Moscow, Russian Federation","institution_ids":["https://openalex.org/I125989756"]},{"raw_affiliation_string":"Moscow Institute of Physics and Technology, 9 Institutskiy pereulok, Dolgoprudny 141700, Moscow region, Russia;","institution_ids":["https://openalex.org/I153845743"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081556021","display_name":"Yu. E. Lozovik","orcid":"https://orcid.org/0000-0003-0398-5485"},"institutions":[{"id":"https://openalex.org/I115911606","display_name":"Moscow State Institute of Electronics and Mathematics","ror":"https://ror.org/05dhkbw86","country_code":"RU","type":"education","lineage":["https://openalex.org/I115911606"]},{"id":"https://openalex.org/I118501908","display_name":"National Research University Higher School of Economics","ror":"https://ror.org/055f7t516","country_code":"RU","type":"education","lineage":["https://openalex.org/I118501908"]},{"id":"https://openalex.org/I4210106534","display_name":"All Russia Research Institute of Automatics","ror":"https://ror.org/01kp4cp54","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1296541250","https://openalex.org/I4210106534"]},{"id":"https://openalex.org/I4210107303","display_name":"Institute of Spectroscopy","ror":"https://ror.org/01nmpe263","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210096333","https://openalex.org/I4210107303"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Yu. E. Lozovik","raw_affiliation_strings":["Dukhov Research Institute of Automatics (VNIIA), 22 Sushchevskaya, Moscow 127055, Russia;","Institute for Spectroscopy RAS, 5 Fizicheskaya, Troitsk 142190, Russia;","Moscow Institute of Electronics and Mathematics, National Research University Higher School of Economics, 101000 Moscow, Russia;"],"affiliations":[{"raw_affiliation_string":"Dukhov Research Institute of Automatics (VNIIA), 22 Sushchevskaya, Moscow 127055, Russia;","institution_ids":["https://openalex.org/I4210106534"]},{"raw_affiliation_string":"Institute for Spectroscopy RAS, 5 Fizicheskaya, Troitsk 142190, Russia;","institution_ids":["https://openalex.org/I4210107303"]},{"raw_affiliation_string":"Moscow Institute of Electronics and Mathematics, National Research University Higher School of Economics, 101000 Moscow, Russia;","institution_ids":["https://openalex.org/I115911606","https://openalex.org/I118501908"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I125989756","https://openalex.org/I153845743","https://openalex.org/I4210106534"],"apc_list":{"value":200,"currency":"EUR","value_usd":215},"apc_paid":{"value":200,"currency":"EUR","value_usd":215},"fwci":1.0697,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.75734378,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"6","issue":null,"first_page":"719","last_page":"719"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12612","display_name":"Strong Light-Matter Interactions","score":1.0,"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/T12612","display_name":"Strong Light-Matter Interactions","score":1.0,"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/T10425","display_name":"Cold Atom Physics and Bose-Einstein Condensates","score":0.9983999729156494,"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/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9879999756813049,"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/thermalisation","display_name":"Thermalisation","score":0.6758707761764526},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.6270464062690735},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.5905896425247192},{"id":"https://openalex.org/keywords/bose\u2013einstein-condensate","display_name":"Bose\u2013Einstein condensate","score":0.5898552536964417},{"id":"https://openalex.org/keywords/coherence","display_name":"Coherence (philosophical gambling strategy)","score":0.5731845498085022},{"id":"https://openalex.org/keywords/statistical-mechanics","display_name":"Statistical mechanics","score":0.5165032744407654},{"id":"https://openalex.org/keywords/thermodynamic-equilibrium","display_name":"Thermodynamic equilibrium","score":0.5113505721092224},{"id":"https://openalex.org/keywords/thermal-equilibrium","display_name":"Thermal equilibrium","score":0.48814353346824646},{"id":"https://openalex.org/keywords/phase-transition","display_name":"Phase transition","score":0.45887744426727295},{"id":"https://openalex.org/keywords/density-matrix","display_name":"Density matrix","score":0.455625057220459},{"id":"https://openalex.org/keywords/non-equilibrium-thermodynamics","display_name":"Non-equilibrium thermodynamics","score":0.4422680735588074},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.41665223240852356},{"id":"https://openalex.org/keywords/ground-state","display_name":"Ground state","score":0.41571539640426636},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.2645637094974518}],"concepts":[{"id":"https://openalex.org/C15359245","wikidata":"https://www.wikidata.org/wiki/Q1347805","display_name":"Thermalisation","level":2,"score":0.6758707761764526},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.6270464062690735},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5905896425247192},{"id":"https://openalex.org/C37589322","wikidata":"https://www.wikidata.org/wiki/Q46202","display_name":"Bose\u2013Einstein condensate","level":2,"score":0.5898552536964417},{"id":"https://openalex.org/C2781181686","wikidata":"https://www.wikidata.org/wiki/Q4226068","display_name":"Coherence (philosophical gambling strategy)","level":2,"score":0.5731845498085022},{"id":"https://openalex.org/C99874945","wikidata":"https://www.wikidata.org/wiki/Q188715","display_name":"Statistical mechanics","level":2,"score":0.5165032744407654},{"id":"https://openalex.org/C131157278","wikidata":"https://www.wikidata.org/wiki/Q51363","display_name":"Thermodynamic equilibrium","level":2,"score":0.5113505721092224},{"id":"https://openalex.org/C29310469","wikidata":"https://www.wikidata.org/wiki/Q3175122","display_name":"Thermal equilibrium","level":2,"score":0.48814353346824646},{"id":"https://openalex.org/C149288129","wikidata":"https://www.wikidata.org/wiki/Q185357","display_name":"Phase transition","level":2,"score":0.45887744426727295},{"id":"https://openalex.org/C56911000","wikidata":"https://www.wikidata.org/wiki/Q831774","display_name":"Density matrix","level":3,"score":0.455625057220459},{"id":"https://openalex.org/C74859849","wikidata":"https://www.wikidata.org/wiki/Q2466686","display_name":"Non-equilibrium thermodynamics","level":2,"score":0.4422680735588074},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.41665223240852356},{"id":"https://openalex.org/C69523127","wikidata":"https://www.wikidata.org/wiki/Q4480008","display_name":"Ground state","level":2,"score":0.41571539640426636},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.2645637094974518}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.22331/q-2022-05-24-719","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2022-05-24-719","pdf_url":"https://quantum-journal.org/papers/q-2022-05-24-719/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:arXiv.org:2111.09132","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2111.09132","pdf_url":"https://arxiv.org/pdf/2111.09132","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:doaj.org/article:7d5e39b134094f90bd239ce4a729d1f6","is_oa":true,"landing_page_url":"https://doaj.org/article/7d5e39b134094f90bd239ce4a729d1f6","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Quantum, Vol 6, p 719 (2022)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.22331/q-2022-05-24-719","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2022-05-24-719","pdf_url":"https://quantum-journal.org/papers/q-2022-05-24-719/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":[{"id":"https://openalex.org/G1940170761","display_name":null,"funder_award_id":"Basis","funder_id":"https://openalex.org/F4320327755","funder_display_name":"Foundation for the Advancement of Theoretical Physics and Mathematics"},{"id":"https://openalex.org/G6258946200","display_name":null,"funder_award_id":"20-72-10145","funder_id":"https://openalex.org/F4320324099","funder_display_name":"Russian Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320324099","display_name":"Russian Science Foundation","ror":"https://ror.org/03y2gwe85"},{"id":"https://openalex.org/F4320327755","display_name":"Foundation for the Advancement of Theoretical Physics and Mathematics","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4286857265.pdf","grobid_xml":"https://content.openalex.org/works/W4286857265.grobid-xml"},"referenced_works_count":70,"referenced_works":["https://openalex.org/W78554911","https://openalex.org/W1489988510","https://openalex.org/W1546771493","https://openalex.org/W1575891354","https://openalex.org/W1616651418","https://openalex.org/W1671143355","https://openalex.org/W1971218022","https://openalex.org/W1975239218","https://openalex.org/W1976005513","https://openalex.org/W1979900282","https://openalex.org/W1980664748","https://openalex.org/W1990251388","https://openalex.org/W1999656061","https://openalex.org/W2004351853","https://openalex.org/W2008317504","https://openalex.org/W2013752496","https://openalex.org/W2016651307","https://openalex.org/W2018494532","https://openalex.org/W2018980088","https://openalex.org/W2022271102","https://openalex.org/W2023858603","https://openalex.org/W2027460196","https://openalex.org/W2028153554","https://openalex.org/W2029303183","https://openalex.org/W2029616000","https://openalex.org/W2029715417","https://openalex.org/W2035107023","https://openalex.org/W2047816421","https://openalex.org/W2051575083","https://openalex.org/W2057256257","https://openalex.org/W2058174695","https://openalex.org/W2070411029","https://openalex.org/W2070587062","https://openalex.org/W2082384907","https://openalex.org/W2082582972","https://openalex.org/W2087011152","https://openalex.org/W2088927502","https://openalex.org/W2090315432","https://openalex.org/W2105333283","https://openalex.org/W2114917858","https://openalex.org/W2128286597","https://openalex.org/W2138103456","https://openalex.org/W2144409734","https://openalex.org/W2162232240","https://openalex.org/W2166034434","https://openalex.org/W2168595246","https://openalex.org/W2237050955","https://openalex.org/W2485441110","https://openalex.org/W2623209082","https://openalex.org/W2792065321","https://openalex.org/W2801470613","https://openalex.org/W2884897028","https://openalex.org/W2888433125","https://openalex.org/W2905264169","https://openalex.org/W2913776688","https://openalex.org/W2923352808","https://openalex.org/W2944826483","https://openalex.org/W2970452417","https://openalex.org/W3009104560","https://openalex.org/W3016406644","https://openalex.org/W3097993026","https://openalex.org/W3099155262","https://openalex.org/W3100164264","https://openalex.org/W3200060585","https://openalex.org/W4211115661","https://openalex.org/W4233735011","https://openalex.org/W4240147868","https://openalex.org/W4240675736","https://openalex.org/W4241526578","https://openalex.org/W4243647487"],"related_works":["https://openalex.org/W3208679808","https://openalex.org/W2044040635","https://openalex.org/W2004123337","https://openalex.org/W197785459","https://openalex.org/W2138392933","https://openalex.org/W3102493489","https://openalex.org/W24405367","https://openalex.org/W2307221590","https://openalex.org/W2044062386","https://openalex.org/W301317987"],"abstract_inverted_index":{"The":[0,20],"theoretical":[1],"description":[2,43],"of":[3,10,23,33,44,64,72,85,100,109,116,136,142,152],"non-equilibrium":[4,21,46,87,107],"Bose\u2013Einstein":[5],"condensate":[6,164],"(BEC)":[7],"is":[8],"one":[9],"the":[11,30,41,61,70,81,93,97,106,113,117,133,137,150,157,163,169],"main":[12],"challenges":[13],"in":[14,52,175,183],"modern":[15],"statistical":[16,34],"physics":[17],"and":[18,75,102,121,140,166,177],"kinetics.":[19],"nature":[22],"BEC":[24,50,89,110,174,182],"makes":[25],"it":[26],"impossible":[27],"to":[28,49,54],"employ":[29],"well-established":[31],"formalism":[32],"mechanics.":[35],"We":[36,68,125,160],"develop":[37],"a":[38,45,86,129],"framework":[39],"for":[40,80,128,173,181],"analytical":[42,78],"phase":[47],"transition":[48],"that,":[51],"contrast":[53],"previously":[55],"developed":[56],"approaches,":[57],"takes":[58],"into":[59],"account":[60],"infinite":[62],"number":[63],"continuously":[65],"distributed":[66],"states.":[67],"consider":[69],"limit":[71],"fast":[73],"thermalization":[74],"obtain":[76],"an":[77],"expression":[79],"full":[82],"density":[83],"matrix":[84],"ideal":[88],"which":[90],"also":[91,161],"covers":[92],"equilibrium":[94],"case.":[95],"For":[96],"particular":[98],"cases":[99],"2D":[101],"3D,":[103],"we":[104],"investigate":[105,162],"formation":[108],"by":[111],"finding":[112],"temperature":[114],"dependence":[115],"ground":[118,138],"state":[119,139],"occupation":[120,135],"second-order":[122],"coherence":[123,143,153],"function.":[124],"show":[126,167],"that":[127,168],"given":[130],"pumping":[131,158],"rate,":[132],"macroscopic":[134],"buildup":[141,151],"may":[144],"occur":[145],"at":[146],"different":[147],"temperatures.":[148],"Moreover,":[149],"strongly":[154],"depends":[155],"on":[156],"scheme.":[159],"linewidth":[165],"Schawlow\u2013Townes":[170],"law":[171],"holds":[172],"3D":[176],"does":[178],"not":[179],"hold":[180],"2D.":[184]},"counts_by_year":[{"year":2024,"cited_by_count":5},{"year":2022,"cited_by_count":2}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
