{"id":"https://openalex.org/W7141591000","doi":"https://doi.org/10.48550/arxiv.2603.25282","title":"An efficient compact splitting Fourier spectral methods for computing the dynamics of rotating spin-orbit coupled spin-2 Bose-Einstein condenstates","display_name":"An efficient compact splitting Fourier spectral methods for computing the dynamics of rotating spin-orbit coupled spin-2 Bose-Einstein condenstates","publication_year":2026,"publication_date":"2026-03-26","ids":{"openalex":"https://openalex.org/W7141591000","doi":"https://doi.org/10.48550/arxiv.2603.25282"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2603.25282","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.25282","pdf_url":null,"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":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2603.25282","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5130738486","display_name":"Xin Liu","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Liu, Xin","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110405587","display_name":"Ziqing Xie","orcid":"https://orcid.org/0000-0001-9372-7011"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Xie, Ziqing","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025178510","display_name":"Yongjun Yuan","orcid":"https://orcid.org/0000-0002-7838-5479"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yuan, Yongjun","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5130722262","display_name":"Yong Zhang","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zhang, Yong","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5130759281","display_name":"Xinyi Zhao","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zhao, Xinyi","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"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":0.9801999926567078,"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":0.9801999926567078,"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/T12612","display_name":"Strong Light-Matter Interactions","score":0.0031999999191612005,"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/T11449","display_name":"Mechanical and Optical Resonators","score":0.0026000000070780516,"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/fourier-transform","display_name":"Fourier transform","score":0.646399974822998},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5936999917030334},{"id":"https://openalex.org/keywords/spectral-method","display_name":"Spectral method","score":0.4526999890804291},{"id":"https://openalex.org/keywords/rotation","display_name":"Rotation (mathematics)","score":0.4458000063896179},{"id":"https://openalex.org/keywords/fourier-series","display_name":"Fourier series","score":0.4406000077724457},{"id":"https://openalex.org/keywords/fast-fourier-transform","display_name":"Fast Fourier transform","score":0.4138999879360199},{"id":"https://openalex.org/keywords/fourier-analysis","display_name":"Fourier analysis","score":0.39959999918937683},{"id":"https://openalex.org/keywords/discrete-fourier-transform","display_name":"Discrete Fourier transform (general)","score":0.37139999866485596}],"concepts":[{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.646399974822998},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5936999917030334},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4629000127315521},{"id":"https://openalex.org/C23463724","wikidata":"https://www.wikidata.org/wiki/Q2308831","display_name":"Spectral method","level":2,"score":0.4526999890804291},{"id":"https://openalex.org/C74050887","wikidata":"https://www.wikidata.org/wiki/Q848368","display_name":"Rotation (mathematics)","level":2,"score":0.4458000063896179},{"id":"https://openalex.org/C207864730","wikidata":"https://www.wikidata.org/wiki/Q179467","display_name":"Fourier series","level":2,"score":0.4406000077724457},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4198000133037567},{"id":"https://openalex.org/C75172450","wikidata":"https://www.wikidata.org/wiki/Q623950","display_name":"Fast Fourier transform","level":2,"score":0.4138999879360199},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.39959999918937683},{"id":"https://openalex.org/C57733114","wikidata":"https://www.wikidata.org/wiki/Q1006032","display_name":"Discrete Fourier transform (general)","level":5,"score":0.37139999866485596},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.3675999939441681},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.35199999809265137},{"id":"https://openalex.org/C177937620","wikidata":"https://www.wikidata.org/wiki/Q7254447","display_name":"Pseudo-spectral method","level":4,"score":0.34850001335144043},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.3370000123977661},{"id":"https://openalex.org/C140820882","wikidata":"https://www.wikidata.org/wiki/Q732722","display_name":"Vortex","level":2,"score":0.3070000112056732},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.30489999055862427},{"id":"https://openalex.org/C6180225","wikidata":"https://www.wikidata.org/wiki/Q3411771","display_name":"Penalty method","level":2,"score":0.29760000109672546},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.29589998722076416},{"id":"https://openalex.org/C5917680","wikidata":"https://www.wikidata.org/wiki/Q2621825","display_name":"Basis function","level":2,"score":0.2883000075817108},{"id":"https://openalex.org/C122444316","wikidata":"https://www.wikidata.org/wiki/Q1440048","display_name":"Discrete-time Fourier transform","level":5,"score":0.27959999442100525},{"id":"https://openalex.org/C121770821","wikidata":"https://www.wikidata.org/wiki/Q2072471","display_name":"Hamiltonian system","level":2,"score":0.2727999985218048},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2718999981880188},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.26249998807907104},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.26010000705718994},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.25940001010894775},{"id":"https://openalex.org/C148043351","wikidata":"https://www.wikidata.org/wiki/Q4456944","display_name":"Current (fluid)","level":2,"score":0.25270000100135803}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2603.25282","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.25282","pdf_url":null,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2603.25282","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.25282","pdf_url":null,"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":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"This":[0,33,113],"paper":[1],"investigates":[2],"the":[3,21,36,45,58,68,85,107,121,127,154,203],"dynamics":[4,207],"of":[5,44,87,156,208],"spin-2":[6],"Bose-Einstein":[7],"condensates":[8],"(BECs)":[9],"with":[10,76],"rotation":[11,47,88,122],"and":[12,48,51,72,90,111,152,167,178,189,197,206],"spin-orbit":[13],"coupling":[14],"(SOC).":[15],"In":[16,182],"order":[17,169],"to":[18,180],"better":[19],"simulate":[20],"dynamics,":[22],"we":[23,104,115,184],"present":[24],"an":[25],"efficient":[26],"high-order":[27,157],"compact":[28],"splitting":[29,147,158],"Fourier":[30,69,79],"spectral":[31,70],"method.":[32],"method":[34,71,161],"splits":[35],"Hamiltonian":[37],"into":[38,132],"a":[39,52,94,98,133,192],"linear":[40,83,108],"part,":[41],"which":[42],"consists":[43],"Laplace,":[46],"SOC":[49,91,128,204],"terms,":[50],"nonlinear":[53,137],"part":[54],"that":[55],"includes":[56],"all":[57],"remaining":[59],"terms.":[60],"The":[61,136],"wave":[62],"function":[63,99],"is":[64,73,139,162,173],"well":[65],"approximated":[66],"by":[67],"numerically":[74],"accessed":[75],"discrete":[77],"Fast":[78],"transform":[80],"(FFT).":[81],"For":[82],"subproblem,":[84],"handling":[86],"term":[89,92,129],"poses":[93],"major":[95],"challenge.":[96],"Using":[97],"mapping":[100,114],"based":[101],"on":[102],"rotation,":[103],"can":[105],"integrate":[106],"subproblem":[109,138],"exactly":[110],"explicitly.":[112],"propose":[116],"not":[117],"only":[118,149],"helps":[119],"eliminate":[120],"term,":[123],"but":[124],"also":[125],"prevents":[126],"from":[130],"evolving":[131],"time-dependent":[134],"form.":[135],"integrated":[140],"analytically":[141],"in":[142,165,170],"physical":[143],"space.":[144],"Such":[145],"\"compact\"":[146],"involves":[148],"two":[150],"operators":[151],"facilitates":[153],"design":[155],"schemes.":[159],"Our":[160],"spectrally":[163],"accurate":[164],"space":[166],"high":[168],"time.":[171],"It":[172],"efficient,":[174],"explicit,":[175],"unconditionally":[176],"stable":[177],"simple":[179],"implement.":[181],"addition,":[183],"derive":[185],"some":[186],"dynamical":[187,200],"properties":[188],"carry":[190],"out":[191],"systematic":[193],"study,":[194],"including":[195],"accuracy":[196],"efficiency":[198],"tests,":[199],"property":[201],"verification,":[202],"effects":[205],"vortex":[209],"lattice.":[210]},"counts_by_year":[],"updated_date":"2026-07-01T06:00:48.157686","created_date":"2026-03-28T00:00:00"}
