{"id":"https://openalex.org/W3032855358","doi":"https://doi.org/10.1137/20m1342434","title":"Localization and Delocalization of Ground States of Bose--Einstein Condensates Under Disorder","display_name":"Localization and Delocalization of Ground States of Bose--Einstein Condensates Under Disorder","publication_year":2022,"publication_date":"2022-02-01","ids":{"openalex":"https://openalex.org/W3032855358","doi":"https://doi.org/10.1137/20m1342434","mag":"3032855358"},"language":"en","primary_location":{"id":"doi:10.1137/20m1342434","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1342434","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"},"type":"article","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/A5084279955","display_name":"Robert Altmann","orcid":"https://orcid.org/0000-0002-4161-6704"},"institutions":[{"id":"https://openalex.org/I179225836","display_name":"University of Augsburg","ror":"https://ror.org/03p14d497","country_code":"DE","type":"education","lineage":["https://openalex.org/I179225836"]},{"id":"https://openalex.org/I86987016","display_name":"KTH Royal Institute of Technology","ror":"https://ror.org/026vcq606","country_code":"SE","type":"education","lineage":["https://openalex.org/I86987016"]},{"id":"https://openalex.org/I904495901","display_name":"Ruhr University Bochum","ror":"https://ror.org/04tsk2644","country_code":"DE","type":"education","lineage":["https://openalex.org/I904495901"]}],"countries":["DE","SE"],"is_corresponding":true,"raw_author_name":"Robert Altmann","raw_affiliation_strings":["\\dagger Department of Mathematics, University of Augsburg, Universit\\\" atsstr. 14, 86159 Augsburg, Ger-many","\\ddagger Department of Mathematics, KTH Royal Institute of Technology, SE-100 44 Stockholm, Sweden, and Faculty of Mathematics,","Ruhr-Universit\\\" at Bochum, 44801 Bochum, Germany"],"affiliations":[{"raw_affiliation_string":"\\dagger Department of Mathematics, University of Augsburg, Universit\\\" atsstr. 14, 86159 Augsburg, Ger-many","institution_ids":["https://openalex.org/I179225836"]},{"raw_affiliation_string":"\\ddagger Department of Mathematics, KTH Royal Institute of Technology, SE-100 44 Stockholm, Sweden, and Faculty of Mathematics,","institution_ids":["https://openalex.org/I86987016"]},{"raw_affiliation_string":"Ruhr-Universit\\\" at Bochum, 44801 Bochum, Germany","institution_ids":["https://openalex.org/I904495901"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061248986","display_name":"Patrick Henning","orcid":"https://orcid.org/0000-0002-6432-5504"},"institutions":[{"id":"https://openalex.org/I179225836","display_name":"University of Augsburg","ror":"https://ror.org/03p14d497","country_code":"DE","type":"education","lineage":["https://openalex.org/I179225836"]},{"id":"https://openalex.org/I86987016","display_name":"KTH Royal Institute of Technology","ror":"https://ror.org/026vcq606","country_code":"SE","type":"education","lineage":["https://openalex.org/I86987016"]},{"id":"https://openalex.org/I904495901","display_name":"Ruhr University Bochum","ror":"https://ror.org/04tsk2644","country_code":"DE","type":"education","lineage":["https://openalex.org/I904495901"]}],"countries":["DE","SE"],"is_corresponding":false,"raw_author_name":"Patrick Henning","raw_affiliation_strings":["\\ddagger Department of Mathematics, KTH Royal Institute of Technology, SE-100 44 Stockholm, Sweden, and Faculty of Mathematics,","Ruhr-Universit\\\" at Bochum, 44801 Bochum, Germany","\\dagger Department of Mathematics, University of Augsburg, Universit\\\" atsstr. 14, 86159 Augsburg, Ger-many"],"affiliations":[{"raw_affiliation_string":"\\ddagger Department of Mathematics, KTH Royal Institute of Technology, SE-100 44 Stockholm, Sweden, and Faculty of Mathematics,","institution_ids":["https://openalex.org/I86987016"]},{"raw_affiliation_string":"Ruhr-Universit\\\" at Bochum, 44801 Bochum, Germany","institution_ids":["https://openalex.org/I904495901"]},{"raw_affiliation_string":"\\dagger Department of Mathematics, University of Augsburg, Universit\\\" atsstr. 14, 86159 Augsburg, Ger-many","institution_ids":["https://openalex.org/I179225836"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014228488","display_name":"Daniel Peterseim","orcid":"https://orcid.org/0000-0001-7213-556X"},"institutions":[{"id":"https://openalex.org/I179225836","display_name":"University of Augsburg","ror":"https://ror.org/03p14d497","country_code":"DE","type":"education","lineage":["https://openalex.org/I179225836"]},{"id":"https://openalex.org/I86987016","display_name":"KTH Royal Institute of Technology","ror":"https://ror.org/026vcq606","country_code":"SE","type":"education","lineage":["https://openalex.org/I86987016"]},{"id":"https://openalex.org/I904495901","display_name":"Ruhr University Bochum","ror":"https://ror.org/04tsk2644","country_code":"DE","type":"education","lineage":["https://openalex.org/I904495901"]}],"countries":["DE","SE"],"is_corresponding":false,"raw_author_name":"Daniel Peterseim","raw_affiliation_strings":["\\dagger Department of Mathematics, University of Augsburg, Universit\\\" atsstr. 14, 86159 Augsburg, Ger-many","\\ddagger Department of Mathematics, KTH Royal Institute of Technology, SE-100 44 Stockholm, Sweden, and Faculty of Mathematics,","Ruhr-Universit\\\" at Bochum, 44801 Bochum, Germany"],"affiliations":[{"raw_affiliation_string":"\\dagger Department of Mathematics, University of Augsburg, Universit\\\" atsstr. 14, 86159 Augsburg, Ger-many","institution_ids":["https://openalex.org/I179225836"]},{"raw_affiliation_string":"\\ddagger Department of Mathematics, KTH Royal Institute of Technology, SE-100 44 Stockholm, Sweden, and Faculty of Mathematics,","institution_ids":["https://openalex.org/I86987016"]},{"raw_affiliation_string":"Ruhr-Universit\\\" at Bochum, 44801 Bochum, Germany","institution_ids":["https://openalex.org/I904495901"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5084279955"],"corresponding_institution_ids":["https://openalex.org/I179225836","https://openalex.org/I86987016","https://openalex.org/I904495901"],"apc_list":null,"apc_paid":null,"fwci":1.3692,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.79050629,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"82","issue":"1","first_page":"330","last_page":"358"},"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":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/T10425","display_name":"Cold Atom Physics and Bose-Einstein Condensates","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/T11965","display_name":"Quantum, superfluid, helium dynamics","score":0.9987999796867371,"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/T11804","display_name":"Quantum many-body systems","score":0.996999979019165,"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/bounded-function","display_name":"Bounded function","score":0.742030143737793},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.7138895988464355},{"id":"https://openalex.org/keywords/delocalized-electron","display_name":"Delocalized electron","score":0.676619291305542},{"id":"https://openalex.org/keywords/ground-state","display_name":"Ground state","score":0.6573676466941833},{"id":"https://openalex.org/keywords/bose\u2013einstein-condensate","display_name":"Bose\u2013Einstein condensate","score":0.6235402822494507},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.5539195537567139},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.540175199508667},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.5389575958251953},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.5144191384315491},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.49136248230934143},{"id":"https://openalex.org/keywords/anderson-localization","display_name":"Anderson localization","score":0.4430532157421112},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.380908727645874},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.3232751488685608},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.26704084873199463},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.07896849513053894},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.0721411406993866}],"concepts":[{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.742030143737793},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.7138895988464355},{"id":"https://openalex.org/C70050531","wikidata":"https://www.wikidata.org/wiki/Q899089","display_name":"Delocalized electron","level":2,"score":0.676619291305542},{"id":"https://openalex.org/C69523127","wikidata":"https://www.wikidata.org/wiki/Q4480008","display_name":"Ground state","level":2,"score":0.6573676466941833},{"id":"https://openalex.org/C37589322","wikidata":"https://www.wikidata.org/wiki/Q46202","display_name":"Bose\u2013Einstein condensate","level":2,"score":0.6235402822494507},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.5539195537567139},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.540175199508667},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5389575958251953},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.5144191384315491},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.49136248230934143},{"id":"https://openalex.org/C133654230","wikidata":"https://www.wikidata.org/wiki/Q491409","display_name":"Anderson localization","level":2,"score":0.4430532157421112},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.380908727645874},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.3232751488685608},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.26704084873199463},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.07896849513053894},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0721411406993866},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/20m1342434","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1342434","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:uni-augsburg.opus-bayern.de:94501","is_oa":false,"landing_page_url":"https://opus.bibliothek.uni-augsburg.de/opus4/frontdoor/index/index/docId/94501","pdf_url":null,"source":{"id":"https://openalex.org/S4306400930","display_name":"OPUS (Augsburg University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I119916105","host_organization_name":"Augsburg University","host_organization_lineage":["https://openalex.org/I119916105"],"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":"doc-type:article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3205840323","display_name":null,"funder_award_id":"03339","funder_id":"https://openalex.org/F4320338335","funder_display_name":"H2020 European Research Council"},{"id":"https://openalex.org/G5714321922","display_name":null,"funder_award_id":"2016-03339","funder_id":"https://openalex.org/F4320322581","funder_display_name":"Vetenskapsr\u00e5det"}],"funders":[{"id":"https://openalex.org/F4320322581","display_name":"Vetenskapsr\u00e5det","ror":"https://ror.org/03zttf063"},{"id":"https://openalex.org/F4320338335","display_name":"H2020 European Research Council","ror":"https://ror.org/0472cxd90"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":42,"referenced_works":["https://openalex.org/W1436589512","https://openalex.org/W1571581645","https://openalex.org/W1678736689","https://openalex.org/W1974363724","https://openalex.org/W1976143157","https://openalex.org/W1981059322","https://openalex.org/W1982044003","https://openalex.org/W1991602497","https://openalex.org/W2012166011","https://openalex.org/W2026037089","https://openalex.org/W2032875116","https://openalex.org/W2034012235","https://openalex.org/W2034018979","https://openalex.org/W2038249383","https://openalex.org/W2040423578","https://openalex.org/W2050338742","https://openalex.org/W2065869047","https://openalex.org/W2067159361","https://openalex.org/W2083561837","https://openalex.org/W2097804575","https://openalex.org/W2103353477","https://openalex.org/W2106311058","https://openalex.org/W2107291454","https://openalex.org/W2132639490","https://openalex.org/W2141695420","https://openalex.org/W2150253565","https://openalex.org/W2154926039","https://openalex.org/W2155224358","https://openalex.org/W2264002775","https://openalex.org/W2284117218","https://openalex.org/W2493797363","https://openalex.org/W2513676926","https://openalex.org/W2562972486","https://openalex.org/W2803724810","https://openalex.org/W2904138298","https://openalex.org/W2964246477","https://openalex.org/W2983666563","https://openalex.org/W3007093339","https://openalex.org/W3034578616","https://openalex.org/W3101835573","https://openalex.org/W3105636535","https://openalex.org/W3184099360"],"related_works":["https://openalex.org/W2007795634","https://openalex.org/W2034675704","https://openalex.org/W2043666029","https://openalex.org/W3012261892","https://openalex.org/W4292424417","https://openalex.org/W2092542031","https://openalex.org/W2073779980","https://openalex.org/W2284436535","https://openalex.org/W2056945498","https://openalex.org/W2790051749"],"abstract_inverted_index":{"This":[0],"paper":[1],"studies":[2,51],"the":[3,23,37,45,48,58,75],"localization":[4,35,82],"behavior":[5],"of":[6,25,36,47,77,83],"Bose--Einstein":[7],"condensates":[8],"in":[9,64],"disorder":[10],"potentials,":[11],"modeled":[12],"by":[13],"a":[14,19],"Gross--Pitaevskii":[15],"eigenvalue":[16],"problem":[17],"on":[18,41],"bounded":[20],"interval.":[21],"In":[22],"regime":[24],"weak":[26],"particle":[27],"interaction,":[28],"we":[29,56],"are":[30],"able":[31],"to":[32],"quantify":[33],"exponential":[34],"ground":[38,84],"state,":[39],"depending":[40],"statistical":[42],"parameters":[43],"and":[44,71],"strength":[46],"potential.":[49],"Numerical":[50],"further":[52],"show":[53],"delocalization":[54],"if":[55],"leave":[57],"identified":[59],"parameter":[60],"range,":[61],"which":[62],"is":[63],"agreement":[65],"with":[66],"experimental":[67],"data.":[68],"These":[69],"mathematical":[70],"numerical":[72],"findings":[73],"allow":[74],"prediction":[76],"physically":[78],"relevant":[79],"regimes":[80],"where":[81],"states":[85],"may":[86],"be":[87],"observed":[88],"experimentally.":[89]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3}],"updated_date":"2026-03-29T08:15:47.926485","created_date":"2025-10-10T00:00:00"}