{"id":"https://openalex.org/W4417464809","doi":"https://doi.org/10.1103/pnh7-f3v9","title":"Quasiparticle projection method for dynamically unstable Bose-Einstein condensates","display_name":"Quasiparticle projection method for dynamically unstable Bose-Einstein condensates","publication_year":2026,"publication_date":"2026-06-08","ids":{"openalex":"https://openalex.org/W4417464809","doi":"https://doi.org/10.1103/pnh7-f3v9"},"language":"en","primary_location":{"id":"doi:10.1103/pnh7-f3v9","doi":"https://doi.org/10.1103/pnh7-f3v9","is_oa":true,"landing_page_url":"https://doi.org/10.1103/pnh7-f3v9","pdf_url":null,"source":{"id":"https://openalex.org/S7407057432","display_name":"APS Open Science","issn_l":"3070-2240","issn":["3070-2240"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"APS Open Science","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1103/pnh7-f3v9","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5120845356","display_name":"Asier Izquierdo","orcid":"https://orcid.org/0000-0003-3910-5523","observed_orcids":["https://orcid.org/0000-0003-3910-5523"]},"institutions":[{"id":"https://openalex.org/I169108374","display_name":"University of the Basque Country","ror":"https://ror.org/000xsnr85","country_code":"ES","type":"education","lineage":["https://openalex.org/I169108374"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Asier Izquierdo","raw_affiliation_strings":["University of the Basque Country UPV/EHU"],"raw_orcid":"https://orcid.org/0000-0003-3910-5523","affiliations":[{"raw_affiliation_string":"University of the Basque Country UPV/EHU","institution_ids":["https://openalex.org/I169108374"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003372873","display_name":"Mar\u00eda Arazo","orcid":"https://orcid.org/0000-0001-5413-423X","observed_orcids":["https://orcid.org/0000-0001-5413-423X"]},"institutions":[{"id":"https://openalex.org/I169108374","display_name":"University of the Basque Country","ror":"https://ror.org/000xsnr85","country_code":"ES","type":"education","lineage":["https://openalex.org/I169108374"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Maria Arazo","raw_affiliation_strings":["University of the Basque Country UPV/EHU"],"raw_orcid":"https://orcid.org/0000-0001-5413-423X","affiliations":[{"raw_affiliation_string":"University of the Basque Country UPV/EHU","institution_ids":["https://openalex.org/I169108374"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083889208","display_name":"S. Mart\u00ednez-Garaot","orcid":"https://orcid.org/0000-0002-6916-3858","observed_orcids":["https://orcid.org/0000-0002-6916-3858"]},"institutions":[{"id":"https://openalex.org/I169108374","display_name":"University of the Basque Country","ror":"https://ror.org/000xsnr85","country_code":"ES","type":"education","lineage":["https://openalex.org/I169108374"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Sof\u00eda Mart\u00ednez-Garaot","raw_affiliation_strings":["University of the Basque Country UPV/EHU"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of the Basque Country UPV/EHU","institution_ids":["https://openalex.org/I169108374"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009374039","display_name":"Michele Modugno","orcid":"https://orcid.org/0000-0002-0532-1423","observed_orcids":["https://orcid.org/0000-0002-0532-1423"]},"institutions":[{"id":"https://openalex.org/I110594554","display_name":"Ikerbasque","ror":"https://ror.org/01cc3fy72","country_code":"ES","type":"other","lineage":["https://openalex.org/I110594554"]},{"id":"https://openalex.org/I169108374","display_name":"University of the Basque Country","ror":"https://ror.org/000xsnr85","country_code":"ES","type":"education","lineage":["https://openalex.org/I169108374"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Michele Modugno","raw_affiliation_strings":["IKERBASQUE","University of the Basque Country UPV/EHU"],"raw_orcid":"https://orcid.org/0000-0002-0532-1423","affiliations":[{"raw_affiliation_string":"IKERBASQUE","institution_ids":["https://openalex.org/I110594554"]},{"raw_affiliation_string":"University of the Basque Country UPV/EHU","institution_ids":["https://openalex.org/I169108374"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.03625804,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"1","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":0.9746000170707703,"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":0.9746000170707703,"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":0.006599999964237213,"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":0.0019000000320374966,"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/complex-spectra","display_name":"complex spectra","score":0.7979999780654907},{"id":"https://openalex.org/keywords/left-eigenvectors","display_name":"left eigenvectors","score":0.9610000252723694},{"id":"https://openalex.org/keywords/modal-decomposition","display_name":"modal decomposition","score":0.7129999995231628},{"id":"https://openalex.org/keywords/attractive-interactions","display_name":"attractive interactions","score":0.6290000081062317},{"id":"https://openalex.org/keywords/one-dimensional-condensates","display_name":"one-dimensional condensates","score":0.8029999732971191},{"id":"https://openalex.org/keywords/localized-structures","display_name":"localized structures","score":0.7110000252723694}],"concepts":[{"id":"https://openalex.org/C158453530","wikidata":"https://www.wikidata.org/wiki/Q864692","display_name":"Biorthogonal system","level":4,"score":0.6906999945640564},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.6345000267028809},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.633400022983551},{"id":"https://openalex.org/C73301696","wikidata":"https://www.wikidata.org/wiki/Q5469984","display_name":"Formalism (music)","level":3,"score":0.5978999733924866},{"id":"https://openalex.org/C136479403","wikidata":"https://www.wikidata.org/wiki/Q1047683","display_name":"Quasiparticle","level":3,"score":0.5133000016212463},{"id":"https://openalex.org/C136886441","wikidata":"https://www.wikidata.org/wiki/Q926129","display_name":"Normalization (sociology)","level":2,"score":0.48739999532699585},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.45350000262260437},{"id":"https://openalex.org/C65557600","wikidata":"https://www.wikidata.org/wiki/Q7249451","display_name":"Projection method","level":3,"score":0.41839998960494995},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.39410001039505005},{"id":"https://openalex.org/C128803854","wikidata":"https://www.wikidata.org/wiki/Q1307821","display_name":"Eigenfunction","level":3,"score":0.3840999901294708},{"id":"https://openalex.org/C2777032711","wikidata":"https://www.wikidata.org/wiki/Q5318993","display_name":"Dynamic mode decomposition","level":2,"score":0.3246000111103058},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3075999915599823},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3037000000476837},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.29429998993873596},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.29179999232292175},{"id":"https://openalex.org/C152401794","wikidata":"https://www.wikidata.org/wiki/Q583760","display_name":"Antisymmetric relation","level":2,"score":0.28540000319480896},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.25850000977516174}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1103/pnh7-f3v9","doi":"https://doi.org/10.1103/pnh7-f3v9","is_oa":true,"landing_page_url":"https://doi.org/10.1103/pnh7-f3v9","pdf_url":null,"source":{"id":"https://openalex.org/S7407057432","display_name":"APS Open Science","issn_l":"3070-2240","issn":["3070-2240"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"APS Open Science","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2512.13847","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2512.13847","pdf_url":"https://arxiv.org/pdf/2512.13847","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2512.13847","doi":"https://doi.org/10.48550/arxiv.2512.13847","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2512.13847","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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"}],"best_oa_location":{"id":"doi:10.1103/pnh7-f3v9","doi":"https://doi.org/10.1103/pnh7-f3v9","is_oa":true,"landing_page_url":"https://doi.org/10.1103/pnh7-f3v9","pdf_url":null,"source":{"id":"https://openalex.org/S7407057432","display_name":"APS Open Science","issn_l":"3070-2240","issn":["3070-2240"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"APS Open Science","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G1622782223","display_name":null,"funder_award_id":"MCIN/AEI/10","funder_id":"https://openalex.org/F4320335322","funder_display_name":"European Regional Development Fund"},{"id":"https://openalex.org/G3480869486","display_name":null,"funder_award_id":"13039","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G3777708657","display_name":null,"funder_award_id":"PID2021-126273NB-I00","funder_id":"https://openalex.org/F4320321705","funder_display_name":"Eusko Jaurlaritza"},{"id":"https://openalex.org/G3861891927","display_name":null,"funder_award_id":"PID2021-126273NBI00","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G4526231891","display_name":null,"funder_award_id":"MCIN / AEI/10","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G6293336981","display_name":null,"funder_award_id":"PID2021-126273NB-I00","funder_id":"https://openalex.org/F4320335322","funder_display_name":"European Regional Development Fund"},{"id":"https://openalex.org/G67347242","display_name":null,"funder_award_id":"IT1470- 22","funder_id":"https://openalex.org/F4320321705","funder_display_name":"Eusko Jaurlaritza"},{"id":"https://openalex.org/G7084143925","display_name":null,"funder_award_id":"AEI/10","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G7434936867","display_name":null,"funder_award_id":"PID2021","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G8953647516","display_name":null,"funder_award_id":"IT1470-22","funder_id":"https://openalex.org/F4320335322","funder_display_name":"European Regional Development Fund"}],"funders":[{"id":"https://openalex.org/F4320321705","display_name":"Eusko Jaurlaritza","ror":"https://ror.org/00pz2fp31"},{"id":"https://openalex.org/F4320321919","display_name":"Euskal Herriko Unibertsitatea","ror":"https://ror.org/000xsnr85"},{"id":"https://openalex.org/F4320335322","display_name":"European Regional Development Fund","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320335598","display_name":"Agencia Estatal de Investigaci\u00f3n","ror":"https://ror.org/003x0zc53"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1991019852","https://openalex.org/W2034012235","https://openalex.org/W2041555158","https://openalex.org/W2166783570","https://openalex.org/W2109324693","https://openalex.org/W1621118049","https://openalex.org/W1964886550","https://openalex.org/W2006763149","https://openalex.org/W2039528854","https://openalex.org/W4293058469","https://openalex.org/W2043617479","https://openalex.org/W2157001849","https://openalex.org/W2993803817","https://openalex.org/W581277558","https://openalex.org/W2891187261","https://openalex.org/W3020506076","https://openalex.org/W4387060527","https://openalex.org/W2084150268","https://openalex.org/W2016781607","https://openalex.org/W1997998020","https://openalex.org/W3207477807","https://openalex.org/W4393225351","https://openalex.org/W2042646933"],"related_works":["https://openalex.org/W2005376222","https://openalex.org/W2053590181","https://openalex.org/W2092760192","https://openalex.org/W2083363835","https://openalex.org/W2951905907","https://openalex.org/W3105152388","https://openalex.org/W2149890408","https://openalex.org/W2084150268","https://openalex.org/W2035186517","https://openalex.org/W2885739985"],"abstract_inverted_index":{"We":[0],"present":[1,144],"a":[2,7,12,29,44,75,102,113,122,147],"general":[3],"formalism":[4],"for":[5,74,162],"performing":[6],"time-dependent":[8],"Bogoliubov":[9,50,95],"analysis":[10,104],"of":[11,23,83,93,105,109,115,167],"dynamically":[13,130],"unstable":[14,110,131],"Bose-Einstein":[15],"condensate,":[16],"which":[17,128],"extends":[18,90],"the":[19,34,48,91,94,98,106,119,143,157,164],"quasiparticle":[20],"projection":[21],"method":[22,120,145],"Morgan":[24],"[]":[25],"to":[26,121],"cases":[27],"with":[28,39,125],"complex":[30],"spectrum.":[31],"By":[32],"introducing":[33],"proper":[35],"left":[36],"eigenvectors":[37],"associated":[38],"each":[40],"regime,":[41,100],"we":[42,117],"construct":[43],"biorthogonal":[45],"basis.":[46],"While":[47],"usual":[49],"normalization":[51],"\u2329":[52,58],"u":[53,55],"|":[54,60],"\u232a":[56,62],"\u2212":[57],"v":[59,61],"=":[63],"1":[64],"may":[65],"not":[66],"hold":[67],"in":[68],"this":[69],"basis,":[70],"it":[71],"still":[72],"allows":[73],"complete":[76,148],"mode":[77,151],"decomposition":[78],"and":[79,132,149,160],"an":[80],"accurate":[81],"reconstruction":[82],"arbitrary":[84],"perturbations":[85],"over":[86],"time.":[87],"This":[88],"approach":[89],"applicability":[92],"framework":[96],"beyond":[97,156],"stable":[99],"providing":[101],"consistent":[103],"time":[107],"evolution":[108],"condensates.":[111],"As":[112],"proof":[114],"concept,":[116],"apply":[118],"one-dimensional":[123],"condensate":[124],"attractive":[126],"interactions,":[127],"is":[129],"evolves":[133],"into":[134],"nonstationary":[135],"localized":[136],"structures":[137],"seeded":[138],"by":[139],"small":[140],"perturbations.":[141],"Overall,":[142],"provides":[146],"robust":[150],"expansion":[152],"that":[153],"remains":[154],"meaningful":[155],"linear":[158],"regime":[159],"useful":[161],"characterizing":[163],"macroscopic":[165],"development":[166],"instabilities.":[168]},"counts_by_year":[],"updated_date":"2026-10-27T15:51:10.671819","created_date":"2025-12-18T00:00:00"}
