{"id":"https://openalex.org/W2139441382","doi":null,"title":"Relations Among Some Ground-state properties of a Bose Gas in Periodic Potentials","display_name":"Relations Among Some Ground-state properties of a Bose Gas in Periodic Potentials","publication_year":2012,"publication_date":"2012-01-29","ids":{"openalex":"https://openalex.org/W2139441382","mag":"2139441382"},"language":"en","primary_location":{"id":"mag:2139441382","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/pdf/1201.6019v1","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},"volume":null,"type":"preprint","indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://arxiv.org/pdf/1201.6019v1","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5006883018","display_name":"Zhao Liang Wang","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zhao Liang Wang","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013144780","display_name":"An Min Wang","orcid":"https://orcid.org/0000-0002-9587-0935","observed_orcids":["https://orcid.org/0000-0002-9587-0935"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"An Min Wang","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-9587-0935","affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110053646","display_name":"Xue Chao Li","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Xue Chao Li","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5100397841","display_name":"Yang Yang","orcid":"https://orcid.org/0009-0006-9656-520X","observed_orcids":["https://orcid.org/0009-0006-9656-520X"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yang Yang","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":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":0.9955999851226807,"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":0.9955999851226807,"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":0.00139999995008111,"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":0.00039999998989515007,"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-gas","display_name":"Bose gas","score":0.9169999957084656},{"id":"https://openalex.org/keywords/periodic-potential","display_name":"periodic potential","score":0.9800000190734863},{"id":"https://openalex.org/keywords/ground-state-properties","display_name":"ground-state properties","score":0.8560000061988831},{"id":"https://openalex.org/keywords/natural-orbitals","display_name":"natural orbitals","score":0.7860000133514404},{"id":"https://openalex.org/keywords/momentum-distribution","display_name":"momentum distribution","score":0.8769999742507935},{"id":"https://openalex.org/keywords/off-diagonal-elements","display_name":"off-diagonal matrix elements","score":0.8579999804496765},{"id":"https://openalex.org/keywords/bose-einstein-condensation","display_name":"Bose-Einstein condensation","score":0.8190000057220459},{"id":"https://openalex.org/keywords/trapped-bose-gas","display_name":"trapped Bose gas","score":0.6079999804496765}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.6412593722343445},{"id":"https://openalex.org/C69523127","wikidata":"https://www.wikidata.org/wiki/Q4480008","display_name":"Ground state","level":2,"score":0.6226809620857239},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.6097774505615234},{"id":"https://openalex.org/C74412414","wikidata":"https://www.wikidata.org/wiki/Q181155","display_name":"Particle number","level":3,"score":0.5434316992759705},{"id":"https://openalex.org/C204514805","wikidata":"https://www.wikidata.org/wiki/Q1143503","display_name":"Bose gas","level":3,"score":0.5433799028396606},{"id":"https://openalex.org/C37589322","wikidata":"https://www.wikidata.org/wiki/Q46202","display_name":"Bose\u2013Einstein condensate","level":2,"score":0.4903438091278076},{"id":"https://openalex.org/C56911000","wikidata":"https://www.wikidata.org/wiki/Q831774","display_name":"Density matrix","level":3,"score":0.4555280804634094},{"id":"https://openalex.org/C184779094","wikidata":"https://www.wikidata.org/wiki/Q26383","display_name":"Atomic physics","level":1,"score":0.3981982469558716},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.3589286804199219},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.35106945037841797},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1628006100654602},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10881280899047852},{"id":"https://openalex.org/C20556612","wikidata":"https://www.wikidata.org/wiki/Q4469374","display_name":"Volume (thermodynamics)","level":2,"score":0.07482817769050598},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.07107987999916077}],"mesh":[],"locations_count":1,"locations":[{"id":"mag:2139441382","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/pdf/1201.6019v1","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null}],"best_oa_location":{"id":"mag:2139441382","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/pdf/1201.6019v1","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W1574169718","https://openalex.org/W1967662682","https://openalex.org/W1965338281","https://openalex.org/W2029419751","https://openalex.org/W2058849470","https://openalex.org/W2078334894","https://openalex.org/W2114170705","https://openalex.org/W4413113001","https://openalex.org/W3164887278","https://openalex.org/W656683083"],"abstract_inverted_index":{"The":[0],"relations":[1],"among":[2],"the":[3,7,17,34,52,74,78,93,99,108,119,123,127],"occupation":[4,75,124],"number":[5,40,76,125],"of":[6,16,48,56,77,98,122,126],"lowest":[8,45,79,128],"natural":[9,46,80,129],"orbital,":[10],"momentum":[11,83],"distributions":[12,84],"and":[13,43,65,82,131,147],"off-diagonal":[14,100,109],"elements":[15,110],"reduced":[18],"single-particle":[19],"density":[20],"matrix":[21],"(RSPDM)":[22],"are":[23,51,86,111,134],"studied":[24],"while":[25],"a":[26],"Bose":[27],"gas":[28,143],"in":[29,33,59,62,71,103,105,118,144],"periodic":[30,140],"potentials":[31],"is":[32],"ground":[35],"state.":[36],"For":[37,68],"large":[38,69],"particle":[39],"systems,":[41],"RSPDM":[42],"its":[44],"orbital":[47,81,130],"$N$-body":[49],"system":[50,58],"same":[53],"as":[54],"that":[55,90],"$(N+1)$-body":[57],"overlapped":[60],"areas":[61],"both":[63,145],"commensurate":[64,72,146],"incommensurate":[66,106,148],"cases.":[67,149],"$N$":[70,89,97],"case,":[73,107],"(MD)":[85],"invariant":[87],"with":[88,96],"results":[91],"from":[92],"exponential":[94],"attenuation":[95],"elements.":[101],"While":[102],"contrast,":[104],"inversely":[112],"proportional":[113],"to":[114],"$\\sqrt{N}$,":[115],"which":[116],"result":[117],"different":[120],"behavior":[121],"MD.":[132],"There":[133],"no":[135],"Bose-Einstein":[136],"condensation":[137],"(BEC)":[138],"for":[139],"trapped":[141],"TG":[142]},"counts_by_year":[],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2016-06-24T00:00:00"}