{"id":"https://openalex.org/W7207845526","doi":"https://doi.org/10.48550/arxiv.2609.02076","title":"Calculating the squeezed bispectrum in stochastic inflation by Monte Carlo simulation","display_name":"Calculating the squeezed bispectrum in stochastic inflation by Monte Carlo simulation","publication_year":2026,"publication_date":"2026-09-02","ids":{"openalex":"https://openalex.org/W7207845526","doi":"https://doi.org/10.48550/arxiv.2609.02076"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.02076","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.02076","pdf_url":"https://arxiv.org/pdf/2609.02076","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/2609.02076","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5069845994","display_name":"Koichi Miyamoto","orcid":"https://orcid.org/0000-0003-2478-0841","observed_orcids":["https://orcid.org/0000-0003-2478-0841"]},"institutions":[{"id":"https://openalex.org/I4405287578","display_name":"Center for Quantum Information and Quantum Biology, The University of Osaka","ror":"https://ror.org/05k80rr73","country_code":"JP","type":"facility","lineage":["https://openalex.org/I4405287578","https://openalex.org/I98285908"]},{"id":"https://openalex.org/I98285908","display_name":"The University of Osaka","ror":"https://ror.org/035t8zc32","country_code":"JP","type":"education","lineage":["https://openalex.org/I98285908"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Miyamoto, Koichi","raw_affiliation_strings":["Center for Quantum Information and Quantum Biology , The University of Osaka , 1-2 Machikaneyama , Toyonaka , Osaka , 560-0043 , Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Quantum Information and Quantum Biology , The University of Osaka , 1-2 Machikaneyama , Toyonaka , Osaka , 560-0043 , Japan","institution_ids":["https://openalex.org/I4405287578","https://openalex.org/I98285908"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079710035","display_name":"Yuichiro Tada","orcid":"https://orcid.org/0000-0001-6199-7033","observed_orcids":["https://orcid.org/0000-0001-6199-7033"]},"institutions":[{"id":"https://openalex.org/I111966504","display_name":"University of Fukui","ror":"https://ror.org/00msqp585","country_code":"JP","type":"education","lineage":["https://openalex.org/I111966504"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Tada, Yuichiro","raw_affiliation_strings":["Department of Applied Physics , University of Fukui , Bunkyo 3-9-1 , Fukui 910-8507 , Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Physics , University of Fukui , Bunkyo 3-9-1 , Fukui 910-8507 , Japan","institution_ids":["https://openalex.org/I111966504"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"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/T10095","display_name":"Cosmology and Gravitation Theories","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"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/T10095","display_name":"Cosmology and Gravitation Theories","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"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/T11415","display_name":"Noncommutative and Quantum Gravity Theories","score":0.00019999999494757503,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy 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/T10025","display_name":"Black Holes and Theoretical Physics","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"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/squeezed-bispectrum","display_name":"squeezed bispectrum","score":0.9470000267028809},{"id":"https://openalex.org/keywords/stochastic-inflation","display_name":"stochastic inflation","score":0.9940000176429749},{"id":"https://openalex.org/keywords/quantum-diffusion","display_name":"quantum diffusion","score":0.5559999942779541},{"id":"https://openalex.org/keywords/monte-carlo-simulation","display_name":"Monte Carlo simulation","score":0.5740000009536743},{"id":"https://openalex.org/keywords/multi-field-inflation","display_name":"multi-field inflation","score":0.8190000057220459},{"id":"https://openalex.org/keywords/chaotic-inflation","display_name":"chaotic inflation","score":0.9539999961853027},{"id":"https://openalex.org/keywords/hybrid-inflation","display_name":"hybrid inflation","score":0.9779999852180481},{"id":"https://openalex.org/keywords/cosmological-perturbations","display_name":"cosmological perturbations","score":0.8410000205039978},{"id":"https://openalex.org/keywords/inflaton-dynamics","display_name":"inflaton dynamics","score":0.47699999809265137}],"concepts":[{"id":"https://openalex.org/C114148568","wikidata":"https://www.wikidata.org/wiki/Q2410583","display_name":"Bispectrum","level":3,"score":0.9914000034332275},{"id":"https://openalex.org/C200941418","wikidata":"https://www.wikidata.org/wiki/Q273508","display_name":"Inflation (cosmology)","level":2,"score":0.8040000200271606},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.593500018119812},{"id":"https://openalex.org/C168110828","wikidata":"https://www.wikidata.org/wiki/Q1331626","display_name":"Spectral density","level":2,"score":0.5812000036239624},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5789999961853027},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.5608999729156494},{"id":"https://openalex.org/C173153575","wikidata":"https://www.wikidata.org/wiki/Q2576923","display_name":"Inflaton","level":3,"score":0.5120999813079834},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.4731999933719635},{"id":"https://openalex.org/C152321242","wikidata":"https://www.wikidata.org/wiki/Q7048759","display_name":"Non-Gaussianity","level":4,"score":0.4140999913215637},{"id":"https://openalex.org/C2777409547","wikidata":"https://www.wikidata.org/wiki/Q17105846","display_name":"Slow roll","level":4,"score":0.41019999980926514},{"id":"https://openalex.org/C89852782","wikidata":"https://www.wikidata.org/wiki/Q2060947","display_name":"Eternal inflation","level":4,"score":0.37779998779296875},{"id":"https://openalex.org/C156778621","wikidata":"https://www.wikidata.org/wiki/Q1365748","display_name":"Spectrum (functional analysis)","level":2,"score":0.3677999973297119},{"id":"https://openalex.org/C159176650","wikidata":"https://www.wikidata.org/wiki/Q43261","display_name":"Horizon","level":2,"score":0.35519999265670776},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.3391000032424927},{"id":"https://openalex.org/C154018700","wikidata":"https://www.wikidata.org/wiki/Q898323","display_name":"Path integral formulation","level":3,"score":0.2994000017642975},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.2881999909877777},{"id":"https://openalex.org/C84999194","wikidata":"https://www.wikidata.org/wiki/Q1","display_name":"Universe","level":2,"score":0.2833000123500824},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.2632000148296356},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.26100000739097595},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.26010000705718994},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.25769999623298645},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.2574000060558319},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.25040000677108765}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.02076","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.02076","pdf_url":"https://arxiv.org/pdf/2609.02076","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.2609.02076","doi":"https://doi.org/10.48550/arxiv.2609.02076","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.02076","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:2609.02076","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.02076","pdf_url":"https://arxiv.org/pdf/2609.02076","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/G1683018754","display_name":"Stochastic lattice simulation of the inflationary universe","funder_award_id":"24K07047","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G4023031295","display_name":null,"funder_award_id":"JPMXS0120319794","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G4627739467","display_name":null,"funder_award_id":"JP-MXS0120319794","funder_id":"https://openalex.org/F4320320912","funder_display_name":"Ministry of Education, Culture, Sports, Science and Technology"},{"id":"https://openalex.org/G5567475573","display_name":null,"funder_award_id":"JPMJPF2014","funder_id":"https://openalex.org/F4320320912","funder_display_name":"Ministry of Education, Culture, Sports, Science and Technology"},{"id":"https://openalex.org/G6951505830","display_name":null,"funder_award_id":"JPMJPF2014","funder_id":"https://openalex.org/F4320338239","funder_display_name":"Co-creation place formation support program"}],"funders":[{"id":"https://openalex.org/F4320320912","display_name":"Ministry of Education, Culture, Sports, Science and Technology","ror":"https://ror.org/048rj2z13"},{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"},{"id":"https://openalex.org/F4320338239","display_name":"Co-creation place formation support program","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7207845526.pdf","grobid_xml":"https://content.openalex.org/works/W7207845526.grobid-xml"},"referenced_works_count":6,"referenced_works":["https://openalex.org/W2037188263","https://openalex.org/W2086160589","https://openalex.org/W2101586960","https://openalex.org/W2148968450","https://openalex.org/W2595209810","https://openalex.org/W3037429251"],"related_works":["https://openalex.org/W7138830877","https://openalex.org/W3187919121","https://openalex.org/W2045913795","https://openalex.org/W2485288132","https://openalex.org/W1996640081","https://openalex.org/W6908793855","https://openalex.org/W3104324454","https://openalex.org/W2172004369","https://openalex.org/W4402048406","https://openalex.org/W6887844538"],"abstract_inverted_index":{"The":[0],"bispectrum":[1,56,131],"of":[2,9,64,80,127],"cosmological":[3],"perturbations":[4],"is":[5,27,132],"an":[6,62],"important":[7],"probe":[8],"inflation":[10,22,112,118],"and":[11,109,115],"the":[12,37,44,55,58,65,68,104,125,130,135],"underlying":[13],"particle":[14],"physics.":[15],"However,":[16],"calculating":[17],"it":[18],"becomes":[19],"challenging":[20],"in":[21,36,57,138],"models":[23],"where":[24],"inflaton":[25],"dynamics":[26],"dominated":[28],"by":[29],"quantum":[30],"diffusion":[31],"rather":[32],"than":[33],"slow-roll,":[34],"especially":[35],"multi-field":[38],"case.":[39],"In":[40],"this":[41,139],"paper,":[42],"employing":[43],"stochastic-$\u03b4\\mathcal{N}$":[45],"formalism,":[46],"we":[47,72,102],"propose":[48],"a":[49,95],"Monte":[50],"Carlo-based":[51],"method":[52,66,76,106],"to":[53,107,116,124],"calculate":[54],"squeezed":[59],"limit,":[60],"as":[61],"extension":[63],"for":[67,113,122,134],"power":[69],"spectrum":[70],"that":[71,84],"previously":[73],"proposed.":[74],"Our":[75],"involves":[77],"generating":[78],"paths":[79],"inflatons'":[81],"time":[82,137],"evolution":[83],"branch":[85],"only":[86],"several":[87],"times,":[88],"avoiding":[89],"nested":[90],"path":[91],"generation,":[92],"which":[93],"incurs":[94],"prohibitive":[96],"computational":[97],"cost.":[98],"As":[99],"numerical":[100],"demonstrations,":[101],"apply":[103],"proposed":[105],"single-":[108],"double-field":[110],"chaotic":[111],"validation,":[114],"hybrid":[117],"with":[119],"mild":[120],"waterfall,":[121],"which,":[123],"best":[126],"our":[128],"knowledge,":[129],"calculated":[133],"first":[136],"work.":[140]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-09-04T00:00:00"}
