{"id":"https://openalex.org/W7168379564","doi":"https://doi.org/10.1103/yr7d-ybps","title":"Standard basis operator method for ground-state and temperature properties of the single- and two-component Bose-Hubbard models","display_name":"Standard basis operator method for ground-state and temperature properties of the single- and two-component Bose-Hubbard models","publication_year":2026,"publication_date":"2026-11-04","ids":{"openalex":"https://openalex.org/W7168379564","doi":"https://doi.org/10.1103/yr7d-ybps"},"language":"en","primary_location":{"id":"doi:10.1103/yr7d-ybps","doi":"https://doi.org/10.1103/yr7d-ybps","is_oa":false,"landing_page_url":"https://doi.org/10.1103/yr7d-ybps","pdf_url":null,"source":{"id":"https://openalex.org/S4210237713","display_name":"Physical review. B./Physical review. B","issn_l":"2469-9950","issn":["2469-9950","2469-9969","2469-9977"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-a","jufo-2","norway-2","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review B","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2607.12718","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5125025882","display_name":"Oliwier Urba\u0144ski","orcid":"https://orcid.org/0009-0007-7966-5679","observed_orcids":["https://orcid.org/0009-0007-7966-5679"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Oliwier Urba\u0144ski","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5079674124","display_name":"T. P. Polak","orcid":"https://orcid.org/0000-0002-3279-9924","observed_orcids":["https://orcid.org/0000-0002-3279-9924"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Tomasz P. Polak","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":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.46005187,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"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":0.9872999787330627,"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":0.9872999787330627,"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":0.00419999985024333,"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":0.002099999925121665,"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/bose-hubbard-model","display_name":"Bose-Hubbard model","score":0.9890000224113464},{"id":"https://openalex.org/keywords/ground-state-properties","display_name":"ground-state properties","score":0.8190000057220459},{"id":"https://openalex.org/keywords/finite-temperature-properties","display_name":"finite-temperature properties","score":0.8330000042915344},{"id":"https://openalex.org/keywords/self-consistent-equations","display_name":"self-consistent equations","score":0.8539999723434448},{"id":"https://openalex.org/keywords/critical-line","display_name":"critical line","score":0.7609999775886536},{"id":"https://openalex.org/keywords/phase-diagram","display_name":"phase diagram","score":0.609000027179718},{"id":"https://openalex.org/keywords/first-order-phase-transition","display_name":"first-order phase transition","score":0.871999979019165},{"id":"https://openalex.org/keywords/chemical-potential","display_name":"chemical potential","score":0.7929999828338623},{"id":"https://openalex.org/keywords/thermal-fluctuations","display_name":"thermal fluctuations","score":0.5839999914169312},{"id":"https://openalex.org/keywords/quantum-fluctuations","display_name":"quantum fluctuations","score":0.7839999794960022},{"id":"https://openalex.org/keywords/three-dimensional-lattice","display_name":"three-dimensional lattice","score":0.6330000162124634}],"concepts":[{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.6644999980926514},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5888000130653381},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48579999804496765},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.4821999967098236},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4627000093460083},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.42410001158714294},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.4106000065803528},{"id":"https://openalex.org/C51255310","wikidata":"https://www.wikidata.org/wiki/Q1163016","display_name":"Tensor product","level":2,"score":0.40459999442100525},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.39149999618530273},{"id":"https://openalex.org/C204530211","wikidata":"https://www.wikidata.org/wiki/Q752823","display_name":"Thermal","level":2,"score":0.3806999921798706},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.36070001125335693},{"id":"https://openalex.org/C17281054","wikidata":"https://www.wikidata.org/wiki/Q193466","display_name":"Rotor (electric)","level":2,"score":0.33219999074935913},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3278000056743622},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.3257000148296356},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.3224000036716461},{"id":"https://openalex.org/C149288129","wikidata":"https://www.wikidata.org/wiki/Q185357","display_name":"Phase transition","level":2,"score":0.32109999656677246},{"id":"https://openalex.org/C204366326","wikidata":"https://www.wikidata.org/wiki/Q3027650","display_name":"Deformation (meteorology)","level":2,"score":0.31150001287460327},{"id":"https://openalex.org/C85906118","wikidata":"https://www.wikidata.org/wiki/Q186693","display_name":"Phase diagram","level":3,"score":0.29510000348091125},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.28619998693466187},{"id":"https://openalex.org/C55037315","wikidata":"https://www.wikidata.org/wiki/Q5421151","display_name":"Experimental data","level":2,"score":0.2734000086784363},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.26910001039505005},{"id":"https://openalex.org/C56006197","wikidata":"https://www.wikidata.org/wiki/Q2915184","display_name":"Rigid rotor","level":3,"score":0.2540999948978424}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1103/yr7d-ybps","doi":"https://doi.org/10.1103/yr7d-ybps","is_oa":false,"landing_page_url":"https://doi.org/10.1103/yr7d-ybps","pdf_url":null,"source":{"id":"https://openalex.org/S4210237713","display_name":"Physical review. B./Physical review. B","issn_l":"2469-9950","issn":["2469-9950","2469-9969","2469-9977"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-a","jufo-2","norway-2","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review B","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2607.12718","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2607.12718","pdf_url":"https://arxiv.org/pdf/2607.12718","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.2607.12718","doi":"https://doi.org/10.48550/arxiv.2607.12718","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2607.12718","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":"pmh:oai:arXiv.org:2607.12718","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2607.12718","pdf_url":"https://arxiv.org/pdf/2607.12718","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"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7168379564.pdf","grobid_xml":"https://content.openalex.org/works/W7168379564.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2008014202","https://openalex.org/W2561572194","https://openalex.org/W1553919213","https://openalex.org/W2953039961","https://openalex.org/W2007079068","https://openalex.org/W1966091455","https://openalex.org/W7101067338","https://openalex.org/W1648389165","https://openalex.org/W1661100051","https://openalex.org/W1991711150"],"abstract_inverted_index":{"We":[0],"formulate":[1],"an":[2],"improved":[3,55],"standard":[4],"basis":[5],"operator":[6],"(SBO)":[7],"method":[8],"for":[9,93,106],"the":[10,20,49,60,64,82,101,116,128],"single":[11],"and":[12,28,78,96],"two-component":[13,83],"Bose-Hubbard":[14],"model":[15],"in":[16,44,130],"three":[17,42],"dimensions.":[18],"In":[19,81],"first":[21],"case,":[22,84],"nonzero":[23],"temperature":[24],"predictions":[25],"are":[26,69,109],"qualitatively":[27],"quantitatively":[29],"enhanced":[30],"by":[31,56,127],"taking":[32],"into":[33],"account":[34,92],"necessary":[35],"number":[36],"of":[37,48,59,115],"on-site":[38],"states,":[39],"not":[40,100],"just":[41],"as":[43],"previous":[45],"works.":[46],"Performance":[47],"final":[50],"numerical":[51],"calculations":[52],"is":[53,119],"also":[54],"asymptotic":[57],"analysis":[58],"self-consistent":[61],"equations":[62],"near":[63],"critical":[65],"line.":[66],"Obtained":[67],"results":[68],"compared":[70],"with":[71,122],"Monte-Carlo,":[72],"tensor":[73],"networks,":[74],"Quantum":[75],"Rotor":[76],"Approach":[77],"experimental":[79],"data.":[80],"SBO":[85],"generalizes":[86],"rather":[87],"poorly,":[88],"being":[89],"able":[90],"to":[91],"intra-species":[94],"thermal":[95],"quantum":[97],"fluctuations,":[98],"but":[99],"inter-species":[102],"ones.":[103],"Deeper":[104],"reasons":[105],"this":[107],"situation":[108],"discussed.":[110],"Still":[111],"however,":[112],"non-trivial":[113],"deformation":[114],"phase":[117,124],"diagrams":[118],"predicted,":[120],"together":[121],"first-order":[123],"transitions":[125],"steered":[126],"changes":[129],"chemical":[131],"potential.":[132]},"counts_by_year":[],"updated_date":"2026-11-05T12:25:35.769452","created_date":"2026-07-16T00:00:00"}