{"id":"https://openalex.org/W7124279607","doi":"https://doi.org/10.48550/arxiv.2601.08990","title":"Nonlinear Inverse Iterations for Spin-Orbit Coupled Quantum Gases","display_name":"Nonlinear Inverse Iterations for Spin-Orbit Coupled Quantum Gases","publication_year":2026,"publication_date":"2026-01-13","ids":{"openalex":"https://openalex.org/W7124279607","doi":"https://doi.org/10.48550/arxiv.2601.08990"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2601.08990","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2601.08990","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":"article"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2601.08990","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5077325568","display_name":"Patrick F. Henning","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Henning, Patrick","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5123140398","display_name":"Laura Huynh","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Huynh, Laura","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5077325568"],"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":0.7942000031471252,"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":0.7942000031471252,"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":0.054099999368190765,"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/T10020","display_name":"Quantum Information and Cryptography","score":0.014000000432133675,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.629800021648407},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.611299991607666},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6069999933242798},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5437999963760376},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.5175999999046326},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.4731000065803528},{"id":"https://openalex.org/keywords/coupling","display_name":"Coupling (piping)","score":0.44920000433921814},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.4415000081062317}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.629800021648407},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.611299991607666},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6069999933242798},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5875999927520752},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5437999963760376},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5321000218391418},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.5175999999046326},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.4731000065803528},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.44920000433921814},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.4415000081062317},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.3756999969482422},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3596000075340271},{"id":"https://openalex.org/C161677786","wikidata":"https://www.wikidata.org/wiki/Q2478475","display_name":"Neighbourhood (mathematics)","level":2,"score":0.3382999897003174},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.31679999828338623},{"id":"https://openalex.org/C174558057","wikidata":"https://www.wikidata.org/wiki/Q11639409","display_name":"Inverse scattering problem","level":3,"score":0.31529998779296875},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.31520000100135803},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.2919999957084656},{"id":"https://openalex.org/C156778621","wikidata":"https://www.wikidata.org/wiki/Q1365748","display_name":"Spectrum (functional analysis)","level":2,"score":0.29170000553131104},{"id":"https://openalex.org/C2505209","wikidata":"https://www.wikidata.org/wiki/Q1671724","display_name":"Inverse iteration","level":3,"score":0.28139999508857727},{"id":"https://openalex.org/C117898588","wikidata":"https://www.wikidata.org/wiki/Q6664310","display_name":"Local convergence","level":3,"score":0.2752000093460083},{"id":"https://openalex.org/C122129529","wikidata":"https://www.wikidata.org/wiki/Q2634828","display_name":"Inverse system","level":3,"score":0.26179999113082886},{"id":"https://openalex.org/C2778114796","wikidata":"https://www.wikidata.org/wiki/Q7575194","display_name":"Spectral gap","level":2,"score":0.26159998774528503},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.251800000667572}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2601.08990","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2601.08990","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":"article"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2601.08990","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2601.08990","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":"article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"This":[0],"work":[1],"concerns":[2],"the":[3,66,69,113],"computation":[4],"of":[5,8,23,68,115],"ground":[6,118],"states":[7],"two-component":[9],"spin-orbit":[10],"coupled":[11,19],"Bose-Einstein":[12],"condensates":[13],"(SO-coupled":[14],"BECs),":[15],"modelled":[16],"by":[17,109],"a":[18,77,98],"nonlinear":[20,78],"eigenvalue":[21],"problem":[22],"Gross-Pitaevskii":[24],"type.":[25],"Spin-orbit":[26],"coupling":[27],"gives":[28],"rise":[29],"to":[30,75,91],"fascinating":[31],"phenomena,":[32],"including":[33],"supersolid-like":[34],"phases":[35],"with":[36],"spatially":[37],"modulated":[38],"densities.":[39],"However,":[40],"in":[41,112],"such":[42,48],"complex":[43],"settings,":[44],"conventional":[45],"numerical":[46,132],"approaches,":[47],"as":[49],"generalized":[50],"inverse":[51,79],"iterations":[52],"or":[53],"gradient":[54],"descent,":[55],"often":[56],"converge":[57],"very":[58],"slowly.":[59],"To":[60],"overcome":[61],"this":[62],"issue,":[63],"we":[64,102,129],"apply":[65],"concept":[67],"J-method":[70],"[E.~Jarlebring,":[71],"S.~Kvaal,":[72],"W.~Michiels.":[73],"SIAM~J.~Sci.~Comput.~36-4,~2014]":[74],"construct":[76],"iteration":[80],"scheme":[81],"whose":[82],"convergence":[83,106,125],"can":[84],"be":[85],"accelerated":[86],"through":[87,131],"spectral":[88,110],"shifting,":[89],"analogous":[90],"techniques":[92],"used":[93],"for":[94],"linear":[95,105],"eigenproblems.":[96],"For":[97],"fixed":[99],"shift":[100],"parameter,":[101],"establish":[103],"local":[104],"rates":[107],"determined":[108],"gaps":[111],"neighbourhood":[114],"each":[116],"quasi-unique":[117],"state.":[119],"With":[120],"adaptively":[121],"chosen":[122],"shifts,":[123],"superlinear":[124],"is":[126],"observed,":[127],"which":[128],"verify":[130],"experiments.":[133]},"counts_by_year":[],"updated_date":"2026-01-16T23:21:37.720618","created_date":"2026-01-16T00:00:00"}
