Relation between Lyapunov exponents and decoherence for real scalar fields in De Sitter spacetime
Autor(a) principal: | |
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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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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 |
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Universidade Federal de Minas Gerais (UFMG) |
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UFMG |
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UFMG |
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Repositório Institucional da UFMG |
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Repositório Institucional da UFMG |
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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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