{"id":"https://openalex.org/W4407189760","doi":"https://doi.org/10.3390/e27020170","title":"Critical Relaxation in the Quantum Yang\u2013Lee Edge Singularity","display_name":"Critical Relaxation in the Quantum Yang\u2013Lee Edge Singularity","publication_year":2025,"publication_date":"2025-02-06","ids":{"openalex":"https://openalex.org/W4407189760","doi":"https://doi.org/10.3390/e27020170","pmid":"https://pubmed.ncbi.nlm.nih.gov/40003167"},"language":"en","primary_location":{"id":"doi:10.3390/e27020170","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e27020170","pdf_url":"https://www.mdpi.com/1099-4300/27/2/170/pdf?version=1738829741","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,"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"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/27/2/170/pdf?version=1738829741","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5018388900","display_name":"Yuemei Sun","orcid":"https://orcid.org/0000-0003-4054-0194"},"institutions":[{"id":"https://openalex.org/I4210144214","display_name":"Jiangsu University of Technology","ror":"https://ror.org/04jabhf80","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210144214"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yue-Mei Sun","raw_affiliation_strings":["The Jiangsu Key Laboratory of Clean Energy Storage and Conversion, Jiangsu University of Technology, Changzhou 213001, China","The School of Mathematics and Physics, Jiangsu University of Technology, Changzhou 213001, China"],"raw_orcid":"https://orcid.org/0000-0003-4054-0194","affiliations":[{"raw_affiliation_string":"The Jiangsu Key Laboratory of Clean Energy Storage and Conversion, Jiangsu University of Technology, Changzhou 213001, China","institution_ids":["https://openalex.org/I4210144214"]},{"raw_affiliation_string":"The School of Mathematics and Physics, Jiangsu University of Technology, Changzhou 213001, China","institution_ids":["https://openalex.org/I4210144214"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100326166","display_name":"Xinyu Wang","orcid":"https://orcid.org/0009-0000-5798-5486"},"institutions":[{"id":"https://openalex.org/I4210144214","display_name":"Jiangsu University of Technology","ror":"https://ror.org/04jabhf80","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210144214"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xinyu Wang","raw_affiliation_strings":["The Jiangsu Key Laboratory of Clean Energy Storage and Conversion, Jiangsu University of Technology, Changzhou 213001, China","The School of Mathematics and Physics, Jiangsu University of Technology, Changzhou 213001, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The Jiangsu Key Laboratory of Clean Energy Storage and Conversion, Jiangsu University of Technology, Changzhou 213001, China","institution_ids":["https://openalex.org/I4210144214"]},{"raw_affiliation_string":"The School of Mathematics and Physics, Jiangsu University of Technology, Changzhou 213001, China","institution_ids":["https://openalex.org/I4210144214"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101482590","display_name":"Liang-Jun Zhai","orcid":"https://orcid.org/0000-0003-4483-689X"},"institutions":[{"id":"https://openalex.org/I4210144214","display_name":"Jiangsu University of Technology","ror":"https://ror.org/04jabhf80","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210144214"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Liang-Jun Zhai","raw_affiliation_strings":["The Jiangsu Key Laboratory of Clean Energy Storage and Conversion, Jiangsu University of Technology, Changzhou 213001, China","The School of Mathematics and Physics, Jiangsu University of Technology, Changzhou 213001, China"],"raw_orcid":"https://orcid.org/0000-0003-4483-689X","affiliations":[{"raw_affiliation_string":"The Jiangsu Key Laboratory of Clean Energy Storage and Conversion, Jiangsu University of Technology, Changzhou 213001, China","institution_ids":["https://openalex.org/I4210144214"]},{"raw_affiliation_string":"The School of Mathematics and Physics, Jiangsu University of Technology, Changzhou 213001, China","institution_ids":["https://openalex.org/I4210144214"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5101482590"],"corresponding_institution_ids":["https://openalex.org/I4210144214"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2227},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2227},"fwci":0.607,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.59724075,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"27","issue":"2","first_page":"170","last_page":"170"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11804","display_name":"Quantum many-body systems","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/T11804","display_name":"Quantum many-body systems","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/T10657","display_name":"Topological Materials and Phenomena","score":0.9988999962806702,"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/T11261","display_name":"Quantum chaos and dynamical systems","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"}}],"keywords":[{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.7452006936073303},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.6907426714897156},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.6716167330741882},{"id":"https://openalex.org/keywords/magnetization","display_name":"Magnetization","score":0.6535815596580505},{"id":"https://openalex.org/keywords/condensed-matter-physics","display_name":"Condensed matter physics","score":0.6306966543197632},{"id":"https://openalex.org/keywords/gravitational-singularity","display_name":"Gravitational singularity","score":0.6197079420089722},{"id":"https://openalex.org/keywords/singularity","display_name":"Singularity","score":0.5721805691719055},{"id":"https://openalex.org/keywords/ising-model","display_name":"Ising model","score":0.5285516977310181},{"id":"https://openalex.org/keywords/critical-point","display_name":"Critical point (mathematics)","score":0.4825257956981659},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.45533743500709534},{"id":"https://openalex.org/keywords/ferromagnetism","display_name":"Ferromagnetism","score":0.43433359265327454},{"id":"https://openalex.org/keywords/magnetic-field","display_name":"Magnetic field","score":0.3578442633152008},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1147434413433075},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07593187689781189}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.7452006936073303},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.6907426714897156},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.6716167330741882},{"id":"https://openalex.org/C32546565","wikidata":"https://www.wikidata.org/wiki/Q856711","display_name":"Magnetization","level":3,"score":0.6535815596580505},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.6306966543197632},{"id":"https://openalex.org/C12843","wikidata":"https://www.wikidata.org/wiki/Q201721","display_name":"Gravitational singularity","level":2,"score":0.6197079420089722},{"id":"https://openalex.org/C16171025","wikidata":"https://www.wikidata.org/wiki/Q863349","display_name":"Singularity","level":2,"score":0.5721805691719055},{"id":"https://openalex.org/C51329190","wikidata":"https://www.wikidata.org/wiki/Q1076349","display_name":"Ising model","level":2,"score":0.5285516977310181},{"id":"https://openalex.org/C196298200","wikidata":"https://www.wikidata.org/wiki/Q577705","display_name":"Critical point (mathematics)","level":2,"score":0.4825257956981659},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.45533743500709534},{"id":"https://openalex.org/C82217956","wikidata":"https://www.wikidata.org/wiki/Q184207","display_name":"Ferromagnetism","level":2,"score":0.43433359265327454},{"id":"https://openalex.org/C115260700","wikidata":"https://www.wikidata.org/wiki/Q11408","display_name":"Magnetic field","level":2,"score":0.3578442633152008},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1147434413433075},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07593187689781189},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.3390/e27020170","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e27020170","pdf_url":"https://www.mdpi.com/1099-4300/27/2/170/pdf?version=1738829741","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,"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":"pmid:40003167","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/40003167","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,"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":null},{"id":"pmh:oai:pubmedcentral.nih.gov:11853887","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/11853887","pdf_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC11853887/pdf/entropy-27-00170.pdf","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,"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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy (Basel)","raw_type":"Text"},{"id":"pmh:oai:doaj.org/article:2d26a2fa170c46189b2fb2f56ac53213","is_oa":false,"landing_page_url":"https://doaj.org/article/2d26a2fa170c46189b2fb2f56ac53213","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy, Vol 27, Iss 2, p 170 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/e27020170","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e27020170","pdf_url":"https://www.mdpi.com/1099-4300/27/2/170/pdf?version=1738829741","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,"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":[{"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy","score":0.46000000834465027}],"awards":[{"id":"https://openalex.org/G8096398907","display_name":null,"funder_award_id":"12404105","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8561352563","display_name":null,"funder_award_id":"12274184","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321410","display_name":"Jiangsu University","ror":"https://ror.org/03jc41j30"},{"id":"https://openalex.org/F4320327507","display_name":"Jiangsu University of Technology","ror":null},{"id":"https://openalex.org/F4320327794","display_name":"Qinglan Project of Jiangsu Province of China","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4407189760.pdf","grobid_xml":"https://content.openalex.org/works/W4407189760.grobid-xml"},"referenced_works_count":68,"referenced_works":["https://openalex.org/W1649271673","https://openalex.org/W1681462337","https://openalex.org/W1911454827","https://openalex.org/W1911969426","https://openalex.org/W1976576522","https://openalex.org/W1984210356","https://openalex.org/W1992904130","https://openalex.org/W1994139571","https://openalex.org/W1997323544","https://openalex.org/W2009768419","https://openalex.org/W2040036783","https://openalex.org/W2043985260","https://openalex.org/W2048255716","https://openalex.org/W2066202639","https://openalex.org/W2067123857","https://openalex.org/W2072296482","https://openalex.org/W2084351207","https://openalex.org/W2086031744","https://openalex.org/W2127222059","https://openalex.org/W2157723930","https://openalex.org/W2227075066","https://openalex.org/W2237612148","https://openalex.org/W2336564914","https://openalex.org/W2338005686","https://openalex.org/W2522470739","https://openalex.org/W2550534203","https://openalex.org/W2559397990","https://openalex.org/W2611085592","https://openalex.org/W2613972820","https://openalex.org/W2739884744","https://openalex.org/W2775352217","https://openalex.org/W2778618666","https://openalex.org/W2781491230","https://openalex.org/W2804805963","https://openalex.org/W2807779697","https://openalex.org/W2916939830","https://openalex.org/W2991368530","https://openalex.org/W2994665279","https://openalex.org/W3008895341","https://openalex.org/W3015588846","https://openalex.org/W3034071862","https://openalex.org/W3043244591","https://openalex.org/W3049549671","https://openalex.org/W3067862563","https://openalex.org/W3094330806","https://openalex.org/W3098097509","https://openalex.org/W3098393469","https://openalex.org/W3101604022","https://openalex.org/W3103451740","https://openalex.org/W3117441917","https://openalex.org/W3119993355","https://openalex.org/W3158406327","https://openalex.org/W3158529477","https://openalex.org/W3161877415","https://openalex.org/W3211801143","https://openalex.org/W4221080129","https://openalex.org/W4230827657","https://openalex.org/W4280622555","https://openalex.org/W4295088605","https://openalex.org/W4296941373","https://openalex.org/W4306809618","https://openalex.org/W4308326495","https://openalex.org/W4386168753","https://openalex.org/W4387528520","https://openalex.org/W4388692160","https://openalex.org/W4390548222","https://openalex.org/W4394767390","https://openalex.org/W4395110788"],"related_works":["https://openalex.org/W4287265842","https://openalex.org/W2726339783","https://openalex.org/W2546079289","https://openalex.org/W4302011306","https://openalex.org/W2022448890","https://openalex.org/W2022135995","https://openalex.org/W2148110192","https://openalex.org/W2963052782","https://openalex.org/W2095039895","https://openalex.org/W1668363177"],"abstract_inverted_index":{"We":[0,30,46],"study":[1],"the":[2,6,10,16,38,50,53,58,64,67,72,75,84,87,113,119],"relaxation":[3,39],"dynamics":[4],"near":[5],"critical":[7,85],"points":[8],"of":[9],"Yang-Lee":[11],"edge":[12],"singularities":[13],"(YLESs)":[14],"in":[15,20,37],"quantum":[17],"Ising":[18],"chain":[19],"an":[21],"imaginary":[22],"longitudinal":[23],"field":[24],"with":[25,57],"a":[26,42,79,108],"polarized":[27],"initial":[28],"state.":[29],"find":[31],"that":[32,48,106],"scaling":[33,92,99,114],"behaviors":[34],"are":[35],"manifested":[36],"process":[40],"after":[41],"non-universal":[43],"transient":[44],"time.":[45],"show":[47,105],"for":[49,71,83,107],"paramagnetic":[51],"Hamiltonian,":[52,74,86],"magnetization":[54,76,88],"oscillates":[55],"periodically":[56],"period":[59],"being":[60],"inversely":[61],"proportional":[62],"to":[63,78,96],"gap":[65],"between":[66],"lowest":[68],"energy":[69],"level;":[70],"ferromagnetic":[73],"decays":[77],"saturated":[80],"value;":[81],"while":[82],"increases":[89],"linearly.":[90],"A":[91],"theory":[93],"is":[94,116],"developed":[95],"describe":[97],"these":[98],"properties.":[100],"In":[101],"this":[102],"theory,":[103],"we":[104],"small-":[109],"and":[110],"medium-sized":[111],"system,":[112],"behavior":[115],"described":[117],"by":[118],"(0+1)-dimensional":[120],"YLES.":[121]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}
