{"id":"https://openalex.org/W7214792160","doi":"https://doi.org/10.48550/arxiv.2609.34908","title":"A projection operator approach for ultracold bosons coupled to a cavity","display_name":"A projection operator approach for ultracold bosons coupled to a cavity","publication_year":2026,"publication_date":"2026-09-28","ids":{"openalex":"https://openalex.org/W7214792160","doi":"https://doi.org/10.48550/arxiv.2609.34908"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.34908","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.34908","pdf_url":"https://arxiv.org/pdf/2609.34908","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"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2609.34908","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5153429847","display_name":"Sarbarish Sen","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I165998391","display_name":"Indian Association for the Cultivation of Science","ror":"https://ror.org/050p6gz73","country_code":"IN","type":"education","lineage":["https://openalex.org/I165998391"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Sen, Sarbarish","raw_affiliation_strings":["School of Physical Sciences , Indian Association for the Cultivation of Science , Kolkata , India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Physical Sciences , Indian Association for the Cultivation of Science , Kolkata , India","institution_ids":["https://openalex.org/I165998391"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087500520","display_name":"Bimalendu Deb","orcid":"https://orcid.org/0000-0002-7036-8391","observed_orcids":["https://orcid.org/0000-0002-7036-8391"]},"institutions":[{"id":"https://openalex.org/I165998391","display_name":"Indian Association for the Cultivation of Science","ror":"https://ror.org/050p6gz73","country_code":"IN","type":"education","lineage":["https://openalex.org/I165998391"]},{"id":"https://openalex.org/I4210159890","display_name":"TCG Crest","ror":"https://ror.org/05h2r8y34","country_code":"IN","type":"other","lineage":["https://openalex.org/I4210159890"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Deb, Bimalendu","raw_affiliation_strings":["CQuERE , TCG Centres of Research and Education in Science and Technology , Sector V , Salt Lake , Kolkata","School of Physical Sciences , Indian Association for the Cultivation of Science , Kolkata , India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CQuERE , TCG Centres of Research and Education in Science and Technology , Sector V , Salt Lake , Kolkata","institution_ids":["https://openalex.org/I4210159890"]},{"raw_affiliation_string":"School of Physical Sciences , Indian Association for the Cultivation of Science , Kolkata , India","institution_ids":["https://openalex.org/I165998391"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5153535610","display_name":"K. Sengupta","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I165998391","display_name":"Indian Association for the Cultivation of Science","ror":"https://ror.org/050p6gz73","country_code":"IN","type":"education","lineage":["https://openalex.org/I165998391"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Sengupta, K.","raw_affiliation_strings":["School of Physical Sciences , Indian Association for the Cultivation of Science , Kolkata , India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Physical Sciences , Indian Association for the Cultivation of Science , Kolkata , India","institution_ids":["https://openalex.org/I165998391"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"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":0.9976000189781189,"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":0.9976000189781189,"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":0.0015999999595806003,"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":0.00019999999494757503,"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/ultracold-bosons","display_name":"ultracold bosons","score":0.9789999723434448},{"id":"https://openalex.org/keywords/bose-hubbard-model","display_name":"Bose-Hubbard model","score":0.9309999942779541},{"id":"https://openalex.org/keywords/cavity-qed","display_name":"cavity quantum electrodynamics","score":0.7760000228881836},{"id":"https://openalex.org/keywords/long-range-interactions","display_name":"long-range interactions","score":0.7680000066757202},{"id":"https://openalex.org/keywords/quantum-fluctuations","display_name":"quantum fluctuations","score":0.6439999938011169},{"id":"https://openalex.org/keywords/projection-operator-method","display_name":"projection operator method","score":0.7789999842643738},{"id":"https://openalex.org/keywords/supersolid-phase","display_name":"supersolid phase","score":0.7170000076293945},{"id":"https://openalex.org/keywords/charge-density-wave","display_name":"charge density wave","score":0.6629999876022339},{"id":"https://openalex.org/keywords/mott-insulator","display_name":"Mott insulator","score":0.9800000190734863},{"id":"https://openalex.org/keywords/superfluid-phase","display_name":"superfluid phase","score":0.9539999961853027},{"id":"https://openalex.org/keywords/quench-dynamics","display_name":"quench dynamics","score":0.9440000057220459},{"id":"https://openalex.org/keywords/phase-diagram","display_name":"phase diagram","score":0.5529999732971191}],"concepts":[{"id":"https://openalex.org/C11924407","wikidata":"https://www.wikidata.org/wiki/Q114739","display_name":"Supersolid","level":4,"score":0.8546000123023987},{"id":"https://openalex.org/C79118098","wikidata":"https://www.wikidata.org/wiki/Q43101","display_name":"Boson","level":2,"score":0.823199987411499},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.7882000207901001},{"id":"https://openalex.org/C85906118","wikidata":"https://www.wikidata.org/wiki/Q186693","display_name":"Phase diagram","level":3,"score":0.5641999840736389},{"id":"https://openalex.org/C25536358","wikidata":"https://www.wikidata.org/wiki/Q106667","display_name":"Superfluidity","level":2,"score":0.5629000067710876},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5468000173568726},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.5320000052452087},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5213000178337097},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.5005999803543091},{"id":"https://openalex.org/C15184713","wikidata":"https://www.wikidata.org/wiki/Q7269042","display_name":"Quantum dynamics","level":3,"score":0.462799996137619},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.44200000166893005},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.3869999945163727},{"id":"https://openalex.org/C80891386","wikidata":"https://www.wikidata.org/wiki/Q7269084","display_name":"Quantum phases","level":4,"score":0.37790000438690186},{"id":"https://openalex.org/C2778926657","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum system","level":3,"score":0.375},{"id":"https://openalex.org/C111776688","wikidata":"https://www.wikidata.org/wiki/Q7880521","display_name":"Ultracold atom","level":3,"score":0.367000013589859},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.33570000529289246},{"id":"https://openalex.org/C196498566","wikidata":"https://www.wikidata.org/wiki/Q4947242","display_name":"Bose\u2013Hubbard model","level":4,"score":0.3321000039577484},{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.33059999346733093},{"id":"https://openalex.org/C141886431","wikidata":"https://www.wikidata.org/wiki/Q1193821","display_name":"Quantum fluctuation","level":3,"score":0.32440000772476196},{"id":"https://openalex.org/C3079626","wikidata":"https://www.wikidata.org/wiki/Q234881","display_name":"Quantum electrodynamics","level":1,"score":0.29910001158714294},{"id":"https://openalex.org/C203087015","wikidata":"https://www.wikidata.org/wiki/Q378201","display_name":"Qubit","level":3,"score":0.29190000891685486},{"id":"https://openalex.org/C77405623","wikidata":"https://www.wikidata.org/wiki/Q598451","display_name":"System dynamics","level":2,"score":0.25609999895095825},{"id":"https://openalex.org/C65557600","wikidata":"https://www.wikidata.org/wiki/Q7249451","display_name":"Projection method","level":3,"score":0.25459998846054077}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.34908","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.34908","pdf_url":"https://arxiv.org/pdf/2609.34908","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.2609.34908","doi":"https://doi.org/10.48550/arxiv.2609.34908","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.34908","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.34908","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.34908","pdf_url":"https://arxiv.org/pdf/2609.34908","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":[{"id":"https://openalex.org/G2675347215","display_name":null,"funder_award_id":"JCB/2021/000030","funder_id":"https://openalex.org/F4320320719","funder_display_name":"Department of Science and Technology, Ministry of Science and Technology, India"},{"id":"https://openalex.org/G3553156480","display_name":null,"funder_award_id":"JCB/2021/000030","funder_id":"https://openalex.org/F4320334771","funder_display_name":"Science and Engineering Research Board"}],"funders":[{"id":"https://openalex.org/F4320320719","display_name":"Department of Science and Technology, Ministry of Science and Technology, India","ror":"https://ror.org/0101xrq71"},{"id":"https://openalex.org/F4320334771","display_name":"Science and Engineering Research Board","ror":"https://ror.org/03ffdsr55"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7214792160.pdf","grobid_xml":"https://content.openalex.org/works/W7214792160.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W1966091455","https://openalex.org/W4395006020","https://openalex.org/W7115726081","https://openalex.org/W2561572194","https://openalex.org/W3080170164","https://openalex.org/W2502340177","https://openalex.org/W7220289547","https://openalex.org/W2089083411","https://openalex.org/W6884740035","https://openalex.org/W7065164964"],"abstract_inverted_index":{"We":[0,80,108,197],"employ":[1],"a":[2,23,30,45,119,140,145,158,208],"projection":[3],"operator":[4],"technique":[5],"to":[6,29,56,112,124,144,221],"study":[7,113,199],"the":[8,12,58,65,69,73,83,87,103,114,122,125,133,149,152,162,165,178,200,211,216],"equilibrium":[9],"phases":[10,98],"and":[11,15,37,94,127,206],"non-equilibrium":[13],"quench":[14,146,159],"ramp":[16,201,212],"dynamics":[17,115,137,166,202],"of":[18,48,60,68,105,116,135,180,203],"ultracold":[19],"bosons":[20,117,205],"described":[21],"by":[22,102,139],"two-dimensional":[24],"(2D)":[25],"Bose-Hubbard":[26],"model":[27,70],"coupled":[28],"high-finesse":[31],"cavity":[32],"with":[33,173],"competing":[34],"local":[35],"short-range":[36,61],"cavity-mediated":[38],"long-range":[39,75],"interactions.":[40],"Our":[41],"analysis":[42,131],"relies":[43],"on":[44,64,210],"systematic":[46],"elimination":[47],"high-energy":[49],"virtual":[50],"hopping":[51],"processes;":[52],"this":[53,110,188],"enables":[54],"us":[55],"capture":[57],"effects":[59],"quantum":[62,181],"fluctuations":[63,182],"phase":[66,84],"diagram":[67],"while":[71],"treating":[72],"cavity-induced":[74],"interaction":[76],"within":[77],"mean-field":[78,175],"theory.":[79],"find":[81],"that":[82],"boundaries":[85],"between":[86],"superfluid":[88],"(SF),":[89],"supersolid":[90],"(SS),":[91],"charge-density-wave":[92],"(CDW)":[93],"Mott":[95],"insulating":[96],"(MI)":[97],"are":[99],"significantly":[100],"modified":[101],"presence":[104,134],"these":[106,204],"fluctuations.":[107],"use":[109],"approach":[111],"following":[118],"quench/ramp":[120],"from":[121],"CDW":[123],"SS":[126],"SF":[128,163],"phases;":[129],"our":[130],"indicates":[132],"oscillatory":[136],"characterized":[138],"single":[141],"frequency":[142],"due":[143],"which":[147,215],"takes":[148],"system":[150],"near":[151],"critical":[153],"point.":[154],"In":[155],"contrast,":[156],"for":[157],"deep":[160],"inside":[161],"phase,":[164],"involves":[167],"multiple":[168],"frequencies.":[169],"An":[170],"explicit":[171],"comparison":[172],"Gutzwiller":[174],"theory":[176],"shows":[177],"importance":[179],"in":[183],"shaping":[184],"such":[185],"post-quench":[186],"dynamics;":[187],"feature":[189],"may":[190],"be":[191],"tested":[192],"experimentally":[193],"as":[194],"we":[195],"discuss.":[196],"also":[198],"identify":[207],"bound":[209],"rate":[213],"above":[214],"present":[217],"method":[218],"is":[219],"expected":[220],"produce":[222],"accurate":[223],"results.":[224]},"counts_by_year":[],"updated_date":"2026-10-28T10:33:24.094632","created_date":"2026-09-30T00:00:00"}