{"id":"https://openalex.org/W2059917106","doi":"https://doi.org/10.1142/s0218127406015222","title":"SPATIAL RESONANCE OVERLAP IN BOSE\u2013EINSTEIN CONDENSATES IN SUPERLATTICE POTENTIALS","display_name":"SPATIAL RESONANCE OVERLAP IN BOSE\u2013EINSTEIN CONDENSATES IN SUPERLATTICE POTENTIALS","publication_year":2006,"publication_date":"2006-04-01","ids":{"openalex":"https://openalex.org/W2059917106","doi":"https://doi.org/10.1142/s0218127406015222","mag":"2059917106"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127406015222","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-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/A5051654836","display_name":"Vivien P. Chua","orcid":null},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"funder","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"VIVIEN P. CHUA","raw_affiliation_strings":["Institute for Computational Mathematics and Engineering, Stanford University, Stanford, CA 94305, USA"],"affiliations":[{"raw_affiliation_string":"Institute for Computational Mathematics and Engineering, Stanford University, Stanford, CA 94305, USA","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5058684689","display_name":"Mason A. Porter","orcid":"https://orcid.org/0000-0002-5166-0717"},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"funder","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"MASON A. PORTER","raw_affiliation_strings":["Department of Physics and Center for the Physics of Information, California Institute of Technology, Pasadena, CA 91125, USA"],"affiliations":[{"raw_affiliation_string":"Department of Physics and Center for the Physics of Information, California Institute of Technology, Pasadena, CA 91125, USA","institution_ids":["https://openalex.org/I122411786"]}]}],"institution_assertions":[],"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,"fulltext_origin":"ngrams","cited_by_count":6,"citation_normalized_percentile":{"value":0.556239,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":78,"max":79},"biblio":{"volume":"16","issue":"04","first_page":"945","last_page":"959"},"is_retracted":false,"is_paratext":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/T11575","display_name":"Nonlinear Photonic Systems","score":0.9993,"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/T12612","display_name":"Strong Light-Matter Interactions","score":0.9984,"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/ansatz","display_name":"Ansatz","score":0.695923},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.44218788}],"concepts":[{"id":"https://openalex.org/C105382558","wikidata":"https://www.wikidata.org/wiki/Q332431","display_name":"Superlattice","level":2,"score":0.76720953},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.6996099},{"id":"https://openalex.org/C130979935","wikidata":"https://www.wikidata.org/wiki/Q568954","display_name":"Ansatz","level":2,"score":0.695923},{"id":"https://openalex.org/C37589322","wikidata":"https://www.wikidata.org/wiki/Q46202","display_name":"Bose\u2013Einstein condensate","level":2,"score":0.53992647},{"id":"https://openalex.org/C188414643","wikidata":"https://www.wikidata.org/wiki/Q3001183","display_name":"Harmonics","level":3,"score":0.5297207},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.5101009},{"id":"https://openalex.org/C3768446","wikidata":"https://www.wikidata.org/wiki/Q877100","display_name":"Spherical harmonics","level":2,"score":0.502764},{"id":"https://openalex.org/C139210041","wikidata":"https://www.wikidata.org/wiki/Q2145840","display_name":"Resonance (particle physics)","level":2,"score":0.47088417},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.44218788},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.42228827},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.37277296},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.37222818},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.35179937},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127406015222","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":45,"referenced_works":["https://openalex.org/W1506846531","https://openalex.org/W1544636356","https://openalex.org/W1606590383","https://openalex.org/W1633910587","https://openalex.org/W1970765391","https://openalex.org/W1971041012","https://openalex.org/W1971327553","https://openalex.org/W1974546349","https://openalex.org/W1976729817","https://openalex.org/W1986057508","https://openalex.org/W1991376746","https://openalex.org/W1991602497","https://openalex.org/W1991681985","https://openalex.org/W1999223132","https://openalex.org/W1999535284","https://openalex.org/W2007391198","https://openalex.org/W2011399402","https://openalex.org/W2018242701","https://openalex.org/W2021353920","https://openalex.org/W2029830456","https://openalex.org/W2031874031","https://openalex.org/W2032525478","https://openalex.org/W2034012235","https://openalex.org/W2041446134","https://openalex.org/W2073824533","https://openalex.org/W2083276720","https://openalex.org/W2085974486","https://openalex.org/W2089876099","https://openalex.org/W2101107899","https://openalex.org/W2108317506","https://openalex.org/W2125178009","https://openalex.org/W2132639490","https://openalex.org/W2151252324","https://openalex.org/W2151590257","https://openalex.org/W2156346662","https://openalex.org/W2157043262","https://openalex.org/W2158717609","https://openalex.org/W2197034439","https://openalex.org/W2280539463","https://openalex.org/W3099045844","https://openalex.org/W3101059537","https://openalex.org/W3105634185","https://openalex.org/W4212977386","https://openalex.org/W4230237964","https://openalex.org/W4240202039"],"related_works":["https://openalex.org/W2323826823","https://openalex.org/W2084435569","https://openalex.org/W2060941531","https://openalex.org/W2059917106","https://openalex.org/W2053331982","https://openalex.org/W2050689744","https://openalex.org/W2046756529","https://openalex.org/W2016834973","https://openalex.org/W1964770939","https://openalex.org/W1954625133"],"abstract_inverted_index":{"We":[0,31,53,89,118],"employ":[1],"Chirikov's":[2],"overlap":[3],"criterion":[4],"to":[5,37,41,83,112],"investigate":[6,55,119],"interactions":[7],"between":[8],"subharmonic":[9],"resonances":[10,61,80],"of":[11,15,24,59,65,97,122],"coherent":[12],"structure":[13],"solutions":[14],"the":[16,21,38,49,57,63,66,74,95,107,113,120],"Gross\u2013Pitaveskii":[17],"(GP)":[18],"equation":[19,40,47],"governing":[20],"mean-field":[22],"dynamics":[23],"cigar-shaped":[25],"Bose\u2013Einstein":[26],"condensates":[27],"in":[28,103],"optical":[29],"superlattices.":[30],"apply":[32],"a":[33,43,92],"standing":[34],"wave":[35],"ansatz":[36],"GP":[39],"obtain":[42],"parametrically":[44],"forced":[45],"Duffing":[46],"describing":[48],"BEC's":[50],"spatial":[51,60,79],"dynamics.":[52],"then":[54],"analytically":[56],"dependence":[58],"on":[62],"depth":[64,76],"superlattice":[67,109],"potential,":[68],"deriving":[69],"an":[70],"order-of-magnitude":[71],"estimate":[72],"for":[73,94],"critical":[75],"at":[77],"which":[78],"with":[81,130],"respect":[82],"different":[84,114],"lattice":[85],"harmonics":[86,115],"first":[87],"overlap.":[88],"also":[90],"derive":[91],"formula":[93],"size":[96],"resonance":[98],"zones":[99],"and":[100,125],"examine":[101],"changes":[102],"our":[104,127],"estimates":[105],"as":[106],"relative":[108],"amplitudes":[110],"corresponding":[111],"are":[116],"adjusted.":[117],"onset":[121],"global":[123],"chaos":[124],"support":[126],"analytical":[128],"work":[129],"numerical":[131],"simulations.":[132]},"abstract_inverted_index_v3":null,"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2059917106","counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-03-21T18:53:05.069697","created_date":"2016-06-24"}