Exact Evaluation of Statistical Moments in Superradiant Emission

Detalhes bibliográficos
Autor(a) principal: Nakamura, Gilberto M.
Data de Publicação: 2019
Outros Autores: Cabella, Brenno [UNESP], Martinez, Alexandre S. [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.3390/mca24020066
http://hdl.handle.net/11449/186099
Resumo: Superradiance describes the coherent collective radiation caused by the interaction between many emitters, mediated by a shared electromagnetic field. Recent experiments involving Bose-Einstein condensates coupled to high-finesse cavities and interacting quantum dots in condensed-matter have attracted attention to the superradiant regime as a fundamental step to create quantum technologies. Here, we consider a simplified description of superradiance that allows the evaluation of statistical moments. A correspondence with the classical birthday problem recovers the statistical moments for discrete time and an arbitrary number of emitters. In addition, the correspondence provides a way to calculate the degeneracy of the problem.
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spelling Exact Evaluation of Statistical Moments in Superradiant Emissionstochastic processescomplex systemsself-organizationDicke modelbirthday problemSuperradiance describes the coherent collective radiation caused by the interaction between many emitters, mediated by a shared electromagnetic field. Recent experiments involving Bose-Einstein condensates coupled to high-finesse cavities and interacting quantum dots in condensed-matter have attracted attention to the superradiant regime as a fundamental step to create quantum technologies. Here, we consider a simplified description of superradiance that allows the evaluation of statistical moments. A correspondence with the classical birthday problem recovers the statistical moments for discrete time and an arbitrary number of emitters. In addition, the correspondence provides a way to calculate the degeneracy of the problem.Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Univ Sao Paulo, FFCLRP, Ave Bandeirantes 3900, BR-14040901 Ribeirao Preto, SP, BrazilUniv Estadual Paulista, Inst Fis Teor, UNESP, Rua Dr Bento Teobaldo Ferraz 271, BR-01140070 Sao Paulo, BrazilINCT SC, Rua Dr Xavier Sigaud 150, BR-22290180 Rio De Janeiro, BrazilUniv Estadual Paulista, Inst Fis Teor, UNESP, Rua Dr Bento Teobaldo Ferraz 271, BR-01140070 Sao Paulo, BrazilCNPq: 309851/2018-1CAPES: 88882.317469/2019-01CAPES: 88887.136416/2017-00MdpiUniversidade de São Paulo (USP)Universidade Estadual Paulista (Unesp)INCT SCNakamura, Gilberto M.Cabella, Brenno [UNESP]Martinez, Alexandre S. [UNESP]2019-10-04T12:41:15Z2019-10-04T12:41:15Z2019-06-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article9http://dx.doi.org/10.3390/mca24020066Mathematical And Computational Applications. Basel: Mdpi, v. 24, n. 2, 9 p., 2019.1300-686Xhttp://hdl.handle.net/11449/18609910.3390/mca24020066WOS:000483307400033Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengMathematical And Computational Applicationsinfo:eu-repo/semantics/openAccess2021-10-23T05:17:05Zoai:repositorio.unesp.br:11449/186099Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T15:19:52.793957Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Exact Evaluation of Statistical Moments in Superradiant Emission
title Exact Evaluation of Statistical Moments in Superradiant Emission
spellingShingle Exact Evaluation of Statistical Moments in Superradiant Emission
Nakamura, Gilberto M.
stochastic processes
complex systems
self-organization
Dicke model
birthday problem
title_short Exact Evaluation of Statistical Moments in Superradiant Emission
title_full Exact Evaluation of Statistical Moments in Superradiant Emission
title_fullStr Exact Evaluation of Statistical Moments in Superradiant Emission
title_full_unstemmed Exact Evaluation of Statistical Moments in Superradiant Emission
title_sort Exact Evaluation of Statistical Moments in Superradiant Emission
author Nakamura, Gilberto M.
author_facet Nakamura, Gilberto M.
Cabella, Brenno [UNESP]
Martinez, Alexandre S. [UNESP]
author_role author
author2 Cabella, Brenno [UNESP]
Martinez, Alexandre S. [UNESP]
author2_role author
author
dc.contributor.none.fl_str_mv Universidade de São Paulo (USP)
Universidade Estadual Paulista (Unesp)
INCT SC
dc.contributor.author.fl_str_mv Nakamura, Gilberto M.
Cabella, Brenno [UNESP]
Martinez, Alexandre S. [UNESP]
dc.subject.por.fl_str_mv stochastic processes
complex systems
self-organization
Dicke model
birthday problem
topic stochastic processes
complex systems
self-organization
Dicke model
birthday problem
description Superradiance describes the coherent collective radiation caused by the interaction between many emitters, mediated by a shared electromagnetic field. Recent experiments involving Bose-Einstein condensates coupled to high-finesse cavities and interacting quantum dots in condensed-matter have attracted attention to the superradiant regime as a fundamental step to create quantum technologies. Here, we consider a simplified description of superradiance that allows the evaluation of statistical moments. A correspondence with the classical birthday problem recovers the statistical moments for discrete time and an arbitrary number of emitters. In addition, the correspondence provides a way to calculate the degeneracy of the problem.
publishDate 2019
dc.date.none.fl_str_mv 2019-10-04T12:41:15Z
2019-10-04T12:41:15Z
2019-06-01
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.3390/mca24020066
Mathematical And Computational Applications. Basel: Mdpi, v. 24, n. 2, 9 p., 2019.
1300-686X
http://hdl.handle.net/11449/186099
10.3390/mca24020066
WOS:000483307400033
url http://dx.doi.org/10.3390/mca24020066
http://hdl.handle.net/11449/186099
identifier_str_mv Mathematical And Computational Applications. Basel: Mdpi, v. 24, n. 2, 9 p., 2019.
1300-686X
10.3390/mca24020066
WOS:000483307400033
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Mathematical And Computational Applications
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 9
dc.publisher.none.fl_str_mv Mdpi
publisher.none.fl_str_mv Mdpi
dc.source.none.fl_str_mv Web of Science
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
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