{"id":"https://openalex.org/W4200550640","doi":"https://doi.org/10.1103/physreva.104.063316","title":"Learning ground states of spin-orbit-coupled Bose-Einstein condensates by a theory-guided neural network","display_name":"Learning ground states of spin-orbit-coupled Bose-Einstein condensates by a theory-guided neural network","publication_year":2021,"publication_date":"2021-12-27","ids":{"openalex":"https://openalex.org/W4200550640","doi":"https://doi.org/10.1103/physreva.104.063316"},"language":"en","primary_location":{"id":"doi:10.1103/physreva.104.063316","doi":"https://doi.org/10.1103/physreva.104.063316","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physreva.104.063316","pdf_url":null,"source":{"id":"https://openalex.org/S164566984","display_name":"Physical Review A","issn_l":"0556-2791","issn":["0556-2791","1050-2947","1094-1622","1538-4446","2469-9926","2469-9934","2469-9942"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-a","jufo-2","ki-jl-1","norway-2","poland-100","poland-70","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review A","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5102784901","display_name":"Xiaodong Bai","orcid":"https://orcid.org/0000-0001-7095-6807","observed_orcids":["https://orcid.org/0000-0001-7095-6807"]},"institutions":[{"id":"https://openalex.org/I4210136793","display_name":"Peng Cheng Laboratory","ror":"https://ror.org/03qdqbt06","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210136793"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiao-Dong Bai","raw_affiliation_strings":["Intelligent Energy Laboratory, Frontier Research Center, Peng Cheng Laboratory, Shenzhen 518000, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Intelligent Energy Laboratory, Frontier Research Center, Peng Cheng Laboratory, Shenzhen 518000, People's Republic of China","institution_ids":["https://openalex.org/I4210136793"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100783852","display_name":"Dongxiao Zhang","orcid":"https://orcid.org/0000-0001-6930-5994","observed_orcids":["https://orcid.org/0000-0001-6930-5994"]},"institutions":[{"id":"https://openalex.org/I3045169105","display_name":"Southern University of Science and Technology","ror":"https://ror.org/049tv2d57","country_code":"CN","type":"education","lineage":["https://openalex.org/I3045169105"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Dongxiao Zhang","raw_affiliation_strings":["School of Environmental Science and Engineering, Southern University of Science and Technology, Shenzhen 518000, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Environmental Science and Engineering, Southern University of Science and Technology, Shenzhen 518000, People's Republic of China","institution_ids":["https://openalex.org/I3045169105"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100783852"],"corresponding_institution_ids":["https://openalex.org/I3045169105"],"apc_list":{"value":2675,"currency":"USD","value_usd":2675},"apc_paid":null,"fwci":0.5222,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.53242162,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":97},"biblio":{"volume":"104","issue":"6","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10425","display_name":"Cold Atom Physics and Bose-Einstein Condensates","score":0.9477999806404114,"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/T10425","display_name":"Cold Atom Physics and Bose-Einstein Condensates","score":0.9477999806404114,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.019700000062584877,"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/T11804","display_name":"Quantum many-body systems","score":0.009600000455975533,"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/spin-orbit-coupling","display_name":"spin-orbit coupling","score":0.9070000052452087},{"id":"https://openalex.org/keywords/bose-einstein-condensate","display_name":"Bose-Einstein condensate","score":0.9990000128746033},{"id":"https://openalex.org/keywords/ground-state","display_name":"ground state","score":0.871999979019165},{"id":"https://openalex.org/keywords/imaginary-time-evolution","display_name":"imaginary time evolution","score":0.8629999756813049},{"id":"https://openalex.org/keywords/one-dimensional-condensates","display_name":"one-dimensional condensates","score":0.9229999780654907},{"id":"https://openalex.org/keywords/spatio-temporal-systems","display_name":"spatio-temporal systems","score":0.8939999938011169}],"concepts":[{"id":"https://openalex.org/C69523127","wikidata":"https://www.wikidata.org/wiki/Q4480008","display_name":"Ground state","level":2,"score":0.7033505439758301},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.6726526021957397},{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.6624293327331543},{"id":"https://openalex.org/C37589322","wikidata":"https://www.wikidata.org/wiki/Q46202","display_name":"Bose\u2013Einstein condensate","level":2,"score":0.6009103655815125},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5711479187011719},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5019838809967041},{"id":"https://openalex.org/C42704618","wikidata":"https://www.wikidata.org/wiki/Q910917","display_name":"Spin (aerodynamics)","level":2,"score":0.49112483859062195},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.45882630348205566},{"id":"https://openalex.org/C196644772","wikidata":"https://www.wikidata.org/wiki/Q3884964","display_name":"Orbit (dynamics)","level":2,"score":0.4435173273086548},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.44259461760520935},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.34847429394721985},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.29610753059387207},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2757105827331543},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.2722960114479065},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.11796551942825317},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1103/physreva.104.063316","doi":"https://doi.org/10.1103/physreva.104.063316","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physreva.104.063316","pdf_url":null,"source":{"id":"https://openalex.org/S164566984","display_name":"Physical Review A","issn_l":"0556-2791","issn":["0556-2791","1050-2947","1094-1622","1538-4446","2469-9926","2469-9934","2469-9942"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-a","jufo-2","ki-jl-1","norway-2","poland-100","poland-70","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review A","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320318558","display_name":"Peng Cheng Laboratory","ror":"https://ror.org/03qdqbt06"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":43,"referenced_works":["https://openalex.org/W1901616594","https://openalex.org/W1980063365","https://openalex.org/W1985448567","https://openalex.org/W1989563849","https://openalex.org/W2004471453","https://openalex.org/W2008591136","https://openalex.org/W2018851260","https://openalex.org/W2022949210","https://openalex.org/W2036733217","https://openalex.org/W2044044483","https://openalex.org/W2078791968","https://openalex.org/W2085576510","https://openalex.org/W2086255422","https://openalex.org/W2113642169","https://openalex.org/W2131140350","https://openalex.org/W2152955074","https://openalex.org/W2203914564","https://openalex.org/W2337082154","https://openalex.org/W2531147647","https://openalex.org/W2618945100","https://openalex.org/W2735139999","https://openalex.org/W2745110207","https://openalex.org/W2767419051","https://openalex.org/W2767754637","https://openalex.org/W2769287225","https://openalex.org/W2795407028","https://openalex.org/W2804616373","https://openalex.org/W2806077230","https://openalex.org/W2899283552","https://openalex.org/W2908202417","https://openalex.org/W2919115771","https://openalex.org/W2984279929","https://openalex.org/W2996496795","https://openalex.org/W2999164003","https://openalex.org/W3002663165","https://openalex.org/W3006086191","https://openalex.org/W3006689658","https://openalex.org/W3033945399","https://openalex.org/W3041874307","https://openalex.org/W3083343098","https://openalex.org/W3084119156","https://openalex.org/W3102708533","https://openalex.org/W3155731022"],"related_works":["https://openalex.org/W4401799018","https://openalex.org/W4409015234","https://openalex.org/W2778255808","https://openalex.org/W4403262669","https://openalex.org/W7170139853","https://openalex.org/W4392011565","https://openalex.org/W4396627950","https://openalex.org/W2740976142","https://openalex.org/W2891832105","https://openalex.org/W4411039021"],"abstract_inverted_index":{"The":[0,82],"ground":[1,26,51,93,154],"state":[2,94],"of":[3,53,78,105,125,153],"spin-orbit-coupled":[4],"(SOC)":[5],"Bose-Einstein":[6],"condensates":[7],"(BECs)":[8],"is":[9,33,65],"an":[10],"intriguing":[11],"subject":[12],"that":[13,62,122],"has":[14],"not":[15],"yet":[16],"been":[17],"fully":[18],"explored.":[19],"In":[20,38],"particular,":[21],"how":[22],"to":[23,48,68,75,89,134],"quickly":[24],"obtain":[25],"states":[27,52,155],"for":[28,149],"discovering":[29,150],"their":[30],"new":[31],"structures":[32,152],"currently":[34],"under":[35],"active":[36],"debate.":[37],"this":[39],"work,":[40],"we":[41,120],"construct":[42],"a":[43,96,131,146],"theory-guided":[44],"neural":[45,72],"network":[46,73],"(TgNN)":[47],"explore":[49],"the":[50,69,79,86,109,113,123,140],"one-dimensional":[54],"BECs":[55],"with":[56,139],"and":[57,130],"without":[58,112],"SOC.":[59],"We":[60],"find":[61],"such":[63],"method":[64,88,124,144],"markedly":[66],"superior":[67],"ordinary":[70],"deep":[71],"due":[74],"theory":[76],"guidance":[77],"underlying":[80],"problems.":[81],"former":[83],"can":[84],"replace":[85],"traditional":[87],"directly":[90],"give":[91],"any":[92],"within":[95],"valid":[97],"parameter":[98],"plane":[99],"using":[100],"only":[101],"imaginary-time":[102],"evolution":[103],"data":[104],"nine":[106],"solutions":[107],"as":[108],"training":[110,141],"data,":[111],"tedious":[114],"step-by-step":[115],"iterative":[116],"calculation":[117],"process.":[118],"Furthermore,":[119],"show":[121],"TgNN":[126],"exhibits":[127],"higher":[128],"reliability":[129],"better":[132],"ability":[133],"generalize":[135],"beyond":[136],"regimes":[137],"covered":[138],"data.":[142],"This":[143],"provides":[145],"promising":[147],"technique":[148],"novel":[151],"in":[156],"parameterized":[157],"spatiotemporal":[158],"systems.":[159]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":3},{"year":2022,"cited_by_count":2}],"updated_date":"2026-11-11T12:16:26.678958","created_date":"2021-12-31T00:00:00"}
