Relation between Lyapunov exponents and decoherence for real scalar fields in De Sitter spacetime

Detalhes bibliográficos
Autor(a) principal: Gustavo Henrique Costa de Souza
Data de Publicação: 2015
Tipo de documento: Tese
Idioma: eng
Título da fonte: Repositório Institucional da UFMG
Texto Completo: http://hdl.handle.net/1843/51529
Resumo: CAPES - Coordenação de Aperfeiçoamento de Pessoal de Nível Superior
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spelling Marcos Donizeti Rodrigues Sampaiohttp://lattes.cnpq.br/9957455292822908Karen Milena Fonseca RomeroPablo Lima SaldanhaGeorge Emanuel Avraam MatsasSérgio Eduardo de Carvalho Eyer JorásGiancarlo Queiroz Pellegrinohttp://lattes.cnpq.br/1982291012091908Gustavo Henrique Costa de Souza2023-04-04T12:14:43Z2023-04-04T12:14:43Z2015-03-03http://hdl.handle.net/1843/51529CAPES - Coordenação de Aperfeiçoamento de Pessoal de Nível SuperiorWe investigate the relationship between orbital instability and decoherence in de Sitter (dS) spacetime. We consider a simple quadratic toy model proposed by Brandenberger, Laflamme and Mijic of two interacting scalar fields in a dS background. It admits a modewise separation, with each mode consisting of a pair of nonautonomous coupled harmonic oscillators. We show that the (classical) maximal Lyapunov exponent of every mode equals the asymptotic rate of (quantum) von Neumann entropy production of each oscillator, assuming an initial vacuum. This allows us to establish a logarithmic divergence of the entropy modulated by the spacetime inflation rate, and to calculate the late times superhorizon relationship between entropy generation of an oscillator and the system's exponential orbit separation rate. The connection between orbital instability and the decoherence of an oscillator's state is also examined from the point of view of the nonclassical depth, a quantity that is related to the existence of a phase-space representation for it interpretable as a classical stochastic distribution. We prove that its superhorizon behavior is determined by the balance between single-mode squeezing and entropy. In this regime, the entropy of a mode and the system's exponential orbit separation rate increase significantly as one moves from the weak- to the strong-coupling limit. If this increase is large enough for the entropy of an oscillator to grow more rapidly than squeezing, for example in the strong-coupling limit for not too high frequencies, the noise of every quadrature of the asymptotic state will be larger than the vacuum noise (zero nonclassical depth). The results suggest the possibility that simple, nonlinear interacting physical processes with unstable or chaotic classical counterparts may provide an important contribution to the effectiveness of the classicalization of cosmological scalar fields during a dS stage of spacetime expansion.engUniversidade Federal de Minas GeraisPrograma de Pós-Graduação em FísicaUFMGBrasilICX - DEPARTAMENTO DE FÍSICADecoerênciaSistemas quânticos abertosQuantum fields in curved spacetimesDecoherenceClassicalization of quantum statesRelation between Lyapunov exponents and decoherence for real scalar fields in De Sitter spacetimeinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/doctoralThesisinfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFMGinstname:Universidade Federal de Minas Gerais (UFMG)instacron:UFMGORIGINALDe_Sitter.pdfDe_Sitter.pdfapplication/pdf1859912https://repositorio.ufmg.br/bitstream/1843/51529/1/De_Sitter.pdfddd10d810219ef86ff3f001bbe3f1b60MD51LICENSElicense.txtlicense.txttext/plain; charset=utf-82118https://repositorio.ufmg.br/bitstream/1843/51529/2/license.txtcda590c95a0b51b4d15f60c9642ca272MD521843/515292023-04-04 09:14:44.149oai:repositorio.ufmg.br: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ório de PublicaçõesPUBhttps://repositorio.ufmg.br/oaiopendoar:2023-04-04T12:14:44Repositório Institucional da UFMG - Universidade Federal de Minas Gerais (UFMG)false
dc.title.pt_BR.fl_str_mv Relation between Lyapunov exponents and decoherence for real scalar fields in De Sitter spacetime
title Relation between Lyapunov exponents and decoherence for real scalar fields in De Sitter spacetime
spellingShingle Relation between Lyapunov exponents and decoherence for real scalar fields in De Sitter spacetime
Gustavo Henrique Costa de Souza
Quantum fields in curved spacetimes
Decoherence
Classicalization of quantum states
Decoerência
Sistemas quânticos abertos
title_short Relation between Lyapunov exponents and decoherence for real scalar fields in De Sitter spacetime
title_full Relation between Lyapunov exponents and decoherence for real scalar fields in De Sitter spacetime
title_fullStr Relation between Lyapunov exponents and decoherence for real scalar fields in De Sitter spacetime
title_full_unstemmed Relation between Lyapunov exponents and decoherence for real scalar fields in De Sitter spacetime
title_sort Relation between Lyapunov exponents and decoherence for real scalar fields in De Sitter spacetime
author Gustavo Henrique Costa de Souza
author_facet Gustavo Henrique Costa de Souza
author_role author
dc.contributor.advisor1.fl_str_mv Marcos Donizeti Rodrigues Sampaio
dc.contributor.advisor1Lattes.fl_str_mv http://lattes.cnpq.br/9957455292822908
dc.contributor.advisor-co1.fl_str_mv Karen Milena Fonseca Romero
dc.contributor.referee1.fl_str_mv Pablo Lima Saldanha
dc.contributor.referee2.fl_str_mv George Emanuel Avraam Matsas
dc.contributor.referee3.fl_str_mv Sérgio Eduardo de Carvalho Eyer Jorás
dc.contributor.referee4.fl_str_mv Giancarlo Queiroz Pellegrino
dc.contributor.authorLattes.fl_str_mv http://lattes.cnpq.br/1982291012091908
dc.contributor.author.fl_str_mv Gustavo Henrique Costa de Souza
contributor_str_mv Marcos Donizeti Rodrigues Sampaio
Karen Milena Fonseca Romero
Pablo Lima Saldanha
George Emanuel Avraam Matsas
Sérgio Eduardo de Carvalho Eyer Jorás
Giancarlo Queiroz Pellegrino
dc.subject.por.fl_str_mv Quantum fields in curved spacetimes
Decoherence
Classicalization of quantum states
topic Quantum fields in curved spacetimes
Decoherence
Classicalization of quantum states
Decoerência
Sistemas quânticos abertos
dc.subject.other.pt_BR.fl_str_mv Decoerência
Sistemas quânticos abertos
description CAPES - Coordenação de Aperfeiçoamento de Pessoal de Nível Superior
publishDate 2015
dc.date.issued.fl_str_mv 2015-03-03
dc.date.accessioned.fl_str_mv 2023-04-04T12:14:43Z
dc.date.available.fl_str_mv 2023-04-04T12:14:43Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/doctoralThesis
format doctoralThesis
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/1843/51529
url http://hdl.handle.net/1843/51529
dc.language.iso.fl_str_mv eng
language eng
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Universidade Federal de Minas Gerais
dc.publisher.program.fl_str_mv Programa de Pós-Graduação em Física
dc.publisher.initials.fl_str_mv UFMG
dc.publisher.country.fl_str_mv Brasil
dc.publisher.department.fl_str_mv ICX - DEPARTAMENTO DE FÍSICA
publisher.none.fl_str_mv Universidade Federal de Minas Gerais
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFMG
instname:Universidade Federal de Minas Gerais (UFMG)
instacron:UFMG
instname_str Universidade Federal de Minas Gerais (UFMG)
instacron_str UFMG
institution UFMG
reponame_str Repositório Institucional da UFMG
collection Repositório Institucional da UFMG
bitstream.url.fl_str_mv https://repositorio.ufmg.br/bitstream/1843/51529/1/De_Sitter.pdf
https://repositorio.ufmg.br/bitstream/1843/51529/2/license.txt
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repository.name.fl_str_mv Repositório Institucional da UFMG - Universidade Federal de Minas Gerais (UFMG)
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