{"id":"https://openalex.org/W7204545501","doi":"https://doi.org/10.1140/epjc/s10052-026-16520-3","title":"Comparison of two-atom cross spectra in de Sitter spacetime, uniformly accelerated Minkowski vacuum, and a thermal bath","display_name":"Comparison of two-atom cross spectra in de Sitter spacetime, uniformly accelerated Minkowski vacuum, and a thermal bath","publication_year":2026,"publication_date":"2026-10-01","ids":{"openalex":"https://openalex.org/W7204545501","doi":"https://doi.org/10.1140/epjc/s10052-026-16520-3"},"language":"en","primary_location":{"id":"doi:10.1140/epjc/s10052-026-16520-3","doi":"https://doi.org/10.1140/epjc/s10052-026-16520-3","is_oa":true,"landing_page_url":"https://doi.org/10.1140/epjc/s10052-026-16520-3","pdf_url":"https://link.springer.com/content/pdf/10.1140/epjc/s10052-026-16520-3.pdf","source":{"id":"https://openalex.org/S94052278","display_name":"The European Physical Journal C","issn_l":"1434-6044","issn":["1434-6044","1434-6052"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-a","jufo-2","ki-jl-1","norway-2","oarl","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The European Physical Journal C","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://link.springer.com/content/pdf/10.1140/epjc/s10052-026-16520-3.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5148501760","display_name":"Zhiming Huang","orcid":"https://orcid.org/0000-0002-1956-4039","observed_orcids":["https://orcid.org/0000-0002-1956-4039"]},"institutions":[{"id":"https://openalex.org/I4210151615","display_name":"Wuyi University","ror":"https://ror.org/0488wz367","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210151615"]},{"id":"https://openalex.org/I98834328","display_name":"Wuyi University","ror":"https://ror.org/059djzq42","country_code":"CN","type":"education","lineage":["https://openalex.org/I98834328"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhiming Huang","raw_affiliation_strings":["Wuyi University"],"raw_orcid":"https://orcid.org/0000-0002-1956-4039","affiliations":[{"raw_affiliation_string":"Wuyi University","institution_ids":["https://openalex.org/I4210151615","https://openalex.org/I98834328"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5148501760"],"corresponding_institution_ids":["https://openalex.org/I4210151615","https://openalex.org/I98834328"],"apc_list":{"value":0,"currency":"USD","value_usd":0},"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.55255909,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"86","issue":"10","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":0.5576000213623047,"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":0.5576000213623047,"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/T12220","display_name":"Quantum Electrodynamics and Casimir Effect","score":0.2619999945163727,"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/T10025","display_name":"Black Holes and Theoretical Physics","score":0.1088000014424324,"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/de-sitter-space","display_name":"de Sitter space","score":0.8980000019073486},{"id":"https://openalex.org/keywords/bunch-davies-vacuum","display_name":"Bunch-Davies vacuum","score":0.8870000243186951},{"id":"https://openalex.org/keywords/thermal-baths","display_name":"thermal baths","score":0.9179999828338623},{"id":"https://openalex.org/keywords/conformally-coupled-scalar-field","display_name":"conformally coupled scalar field","score":0.8679999709129333},{"id":"https://openalex.org/keywords/two-level-atom","display_name":"two-level atom","score":0.9089999794960022},{"id":"https://openalex.org/keywords/wightman-functions","display_name":"Wightman functions","score":0.7609999775886536},{"id":"https://openalex.org/keywords/quantum-field-theory-in-curved-spacetime","display_name":"quantum field theory in curved spacetime","score":0.7080000042915344},{"id":"https://openalex.org/keywords/atom-field-interaction","display_name":"atom-field interaction","score":0.375}],"concepts":[{"id":"https://openalex.org/C79464548","wikidata":"https://www.wikidata.org/wiki/Q464794","display_name":"Minkowski space","level":2,"score":0.942300021648407},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.7878000140190125},{"id":"https://openalex.org/C19262093","wikidata":"https://www.wikidata.org/wiki/Q3036474","display_name":"De Sitter universe","level":3,"score":0.6725000143051147},{"id":"https://openalex.org/C130187892","wikidata":"https://www.wikidata.org/wiki/Q133327","display_name":"Spacetime","level":2,"score":0.5940999984741211},{"id":"https://openalex.org/C107829132","wikidata":"https://www.wikidata.org/wiki/Q574780","display_name":"Anti-de Sitter space","level":2,"score":0.5684999823570251},{"id":"https://openalex.org/C4839761","wikidata":"https://www.wikidata.org/wiki/Q212111","display_name":"Spectral line","level":2,"score":0.5163999795913696},{"id":"https://openalex.org/C22366356","wikidata":"https://www.wikidata.org/wiki/Q1179448","display_name":"De Sitter space","level":4,"score":0.4945000112056732},{"id":"https://openalex.org/C54937798","wikidata":"https://www.wikidata.org/wiki/Q2024141","display_name":"Massless particle","level":2,"score":0.492900013923645},{"id":"https://openalex.org/C120484201","wikidata":"https://www.wikidata.org/wiki/Q2246697","display_name":"Quantum field theory in curved spacetime","level":4,"score":0.46799999475479126},{"id":"https://openalex.org/C204530211","wikidata":"https://www.wikidata.org/wiki/Q752823","display_name":"Thermal","level":2,"score":0.46700000762939453},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.44519999623298645},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.39959999918937683},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.3912000060081482},{"id":"https://openalex.org/C110521144","wikidata":"https://www.wikidata.org/wiki/Q193460","display_name":"Scalar field","level":2,"score":0.37380000948905945},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.3179999887943268},{"id":"https://openalex.org/C3079626","wikidata":"https://www.wikidata.org/wiki/Q234881","display_name":"Quantum electrodynamics","level":1,"score":0.31349998712539673},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3095000088214874},{"id":"https://openalex.org/C88018779","wikidata":"https://www.wikidata.org/wiki/Q1568269","display_name":"Unruh effect","level":3,"score":0.2957000136375427},{"id":"https://openalex.org/C88118005","wikidata":"https://www.wikidata.org/wiki/Q5244743","display_name":"de Sitter invariant special relativity","level":5,"score":0.28790000081062317},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.2791999876499176},{"id":"https://openalex.org/C115047598","wikidata":"https://www.wikidata.org/wiki/Q54505","display_name":"Quantum field theory","level":2,"score":0.25220000743865967},{"id":"https://openalex.org/C49811471","wikidata":"https://www.wikidata.org/wiki/Q5244744","display_name":"de Sitter\u2013Schwarzschild metric","level":4,"score":0.25209999084472656}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1140/epjc/s10052-026-16520-3","doi":"https://doi.org/10.1140/epjc/s10052-026-16520-3","is_oa":true,"landing_page_url":"https://doi.org/10.1140/epjc/s10052-026-16520-3","pdf_url":"https://link.springer.com/content/pdf/10.1140/epjc/s10052-026-16520-3.pdf","source":{"id":"https://openalex.org/S94052278","display_name":"The European Physical Journal C","issn_l":"1434-6044","issn":["1434-6044","1434-6052"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-a","jufo-2","ki-jl-1","norway-2","oarl","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The European Physical Journal C","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2608.26554","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.26554","pdf_url":"https://arxiv.org/pdf/2608.26554","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:edpsciences.org:dkey/10.1140/epjc/s10052-026-16520-3","doi":null,"is_oa":false,"landing_page_url":"http://www.springerlink.com/content/fulltext.pdf?id=doi:10.1140/epjc/s10052-026-16520-3","pdf_url":"http://www.springerlink.com/content/fulltext.pdf?id=doi:10.1140/epjc/s10052-026-16520-3","source":{"id":"https://openalex.org/S4306400744","display_name":"Springer Link (Chiba Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I8488066","host_organization_name":"Chiba Institute of Technology","host_organization_lineage":["https://openalex.org/I8488066"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://doi.org/10.1140/epjc/s10052-026-16520-3","raw_type":"Text"},{"id":"pmh:oai:doaj.org/article:84599db64e274a82972a244c6bd8cdc8","doi":null,"is_oa":false,"landing_page_url":"https://doaj.org/article/84599db64e274a82972a244c6bd8cdc8","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"European Physical Journal C: Particles and Fields, Vol 86, Iss 10 (2026)","raw_type":"article"},{"id":"doi:10.48550/arxiv.2608.26554","doi":"https://doi.org/10.48550/arxiv.2608.26554","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2608.26554","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":"doi:10.1140/epjc/s10052-026-16520-3","doi":"https://doi.org/10.1140/epjc/s10052-026-16520-3","is_oa":true,"landing_page_url":"https://doi.org/10.1140/epjc/s10052-026-16520-3","pdf_url":"https://link.springer.com/content/pdf/10.1140/epjc/s10052-026-16520-3.pdf","source":{"id":"https://openalex.org/S94052278","display_name":"The European Physical Journal C","issn_l":"1434-6044","issn":["1434-6044","1434-6052"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-a","jufo-2","ki-jl-1","norway-2","oarl","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The European Physical Journal C","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7204545501.pdf","grobid_xml":"https://content.openalex.org/works/W7204545501.grobid-xml"},"referenced_works_count":17,"referenced_works":["https://openalex.org/W1970581771","https://openalex.org/W1992204683","https://openalex.org/W1997817438","https://openalex.org/W2001901869","https://openalex.org/W2040315023","https://openalex.org/W2118148695","https://openalex.org/W2120830691","https://openalex.org/W2121287867","https://openalex.org/W2404941903","https://openalex.org/W2747566916","https://openalex.org/W2802425048","https://openalex.org/W3019940467","https://openalex.org/W4385351358","https://openalex.org/W4392104516","https://openalex.org/W4412065853","https://openalex.org/W7153779996","https://openalex.org/W7166685298"],"related_works":["https://openalex.org/W4385351358","https://openalex.org/W2019155334","https://openalex.org/W2009130712","https://openalex.org/W2087118054","https://openalex.org/W1964560044","https://openalex.org/W7213232406","https://openalex.org/W3104862951","https://openalex.org/W3099582105","https://openalex.org/W4400065170","https://openalex.org/W3112115753"],"abstract_inverted_index":{"Abstract":[0],"We":[1,180],"compare":[2],"two":[3,94,205],"identical":[4],"two-level":[5],"atoms":[6],"coupled":[7,13],"to":[8],"a":[9,40,46,82,98,142,168,197,219],"four-dimensional":[10],"massless":[11],"conformally":[12],"scalar":[14,229],"field":[15,230],"in":[16,21,32,39,67],"three":[17],"settings:":[18],"comoving":[19,131],"geodesics":[20],"the":[22,33,69,77,93,130,137,157,182,204,226],"de":[23,132],"Sitter":[24,133],"Bunch\u2013Davies":[25],"vacuum,":[26,35],"transversely":[27],"separated":[28],"uniformly":[29],"accelerated":[30,138],"trajectories":[31,38],"Minkowski":[34,41],"and":[36,49,64,71,116,145,172,186,231],"static":[37],"thermal":[42,78],"bath.":[43],"When":[44],"$$a=H$$":[45,141],"=":[47,54,143,148],"H":[48,58,144],"$$\\beta":[50],"=2\\pi":[51],"/H,$$":[52],"\u03b2":[53],"2":[55,120],"\u03c0":[56],"/":[57],",":[59,121,129],"their":[60,106,215],"local":[61],"Wightman":[62],"kernels":[63,207],"spectra":[65,185],"agree":[66],"both":[68],"excitation":[70],"de-excitation":[72],"sectors.":[73],"At":[74,102],"finite":[75],"separation,":[76],"cross":[79,134,170,216],"spectrum":[80,171],"contains":[81],"$$\\operatorname":[83],"{sinc}(\\Omega":[84],"L)$$":[85],"sinc":[86],"(":[87,150],"\u03a9":[88],"L":[89,113,118,147],")":[90,152],"factor,":[91],"whereas":[92],"vacuum":[95,206],"settings":[96],"share":[97],"hyperbolic":[99],"geometric":[100],"factor.":[101],"fixed":[103,125],"nonzero":[104],"gap,":[105],"large-distance":[107],"spectral":[108],"envelopes":[109],"scale":[110],"as":[111],"$$L^{-1}$$":[112],"-":[114,119],"1":[115],"$$L^{-2},$$":[117],"respectively.":[122],"For":[123],"each":[124],"midpoint":[126,200,210],"time":[127],"T":[128,151],"kernel":[135,139],"equals":[136],"with":[140],"$$L=r(T).$$":[146],"r":[149],".":[153],"This":[154],"equality":[155],"concerns":[156],"full":[158],"relative-time":[159],"dependence":[160],"at":[161,208],"that":[162],"midpoint;":[163],"its":[164],"Fourier":[165],"transform":[166],"is":[167,173],"Wigner-type":[169],"not":[174,212],"an":[175],"instantaneous":[176],"detector":[177],"transition":[178],"rate.":[179],"derive":[181],"corresponding":[183],"negative-frequency":[184],"express":[187],"finite-time":[188],"responses":[189,217],"using":[190],"smooth":[191],"switching":[192,195],"functions.":[193],"Finite":[194],"samples":[196],"range":[198],"of":[199],"times,":[201],"so":[202],"matching":[203],"one":[209],"does":[211],"generally":[213],"match":[214],"over":[218],"measurement":[220],"interval.":[221],"These":[222],"relations":[223],"depend":[224],"on":[225],"specified":[227],"conformal":[228],"trajectory":[232],"geometries.":[233]},"counts_by_year":[],"updated_date":"2026-11-08T12:12:28.789561","created_date":"2026-08-29T00:00:00"}
