Formation of Fabry-Perot resonances in double-barrier chaotic billiards

Detalhes bibliográficos
Autor(a) principal: Souza, André Maurício Conceição de
Data de Publicação: 2005
Outros Autores: Macedo, Antônio Murilo Santos
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFS
Texto Completo: http://link.aps.org/doi/10.1103/PhysRevE.71.066218
https://ri.ufs.br/handle/riufs/463
Resumo: We study wave transport through a chaotic quantum billiard attached to two waveguides via barriers of arbitrary transparencies in the semiclassical limit of a large number of open scattering channels. We focus attention on the ergodic regime, which is described by using a random-matrix approach to chaotic resonance scattering together with an extended version of Nazarov’s circuit theory. By varying the relative strength of the barriers’ transparencies a reorganization of the relevant resonances in the energy interval where transport takes place leads to a full suppression of high transmission modes. We provide a detailed quantitative description of the process by means of both numerical and analytical evaluations of the average density of transmission eigenvalues. We show that the density of Fabry-Perot modes can be used as a kind of order parameter for this quantum transition. A diagram is presented as a function of the transparencies of the barriers exhibiting the transport regimes and the transition lines.
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spelling Souza, André Maurício Conceição deMacedo, Antônio Murilo Santos2013-03-18T23:48:07Z2013-03-18T23:48:07Z2005-06SOUZA, A. M. C.; MACÊDO, A. M. S. Formation of Fabry-Perot resonances in double-barrier chaotic billiards. Physical Review E, New York, v. 71, n. 6, jun. 2005. Disponível em: <http://link.aps.org/doi/10.1103/PhysRevE.71.066218>. Acesso em: 18 mar. 2013.1550-2376http://link.aps.org/doi/10.1103/PhysRevE.71.066218https://ri.ufs.br/handle/riufs/463Copyrights American Physical SocietyWe study wave transport through a chaotic quantum billiard attached to two waveguides via barriers of arbitrary transparencies in the semiclassical limit of a large number of open scattering channels. We focus attention on the ergodic regime, which is described by using a random-matrix approach to chaotic resonance scattering together with an extended version of Nazarov’s circuit theory. By varying the relative strength of the barriers’ transparencies a reorganization of the relevant resonances in the energy interval where transport takes place leads to a full suppression of high transmission modes. We provide a detailed quantitative description of the process by means of both numerical and analytical evaluations of the average density of transmission eigenvalues. We show that the density of Fabry-Perot modes can be used as a kind of order parameter for this quantum transition. A diagram is presented as a function of the transparencies of the barriers exhibiting the transport regimes and the transition lines.American Physical Societyinterferômetro Fabry-PerotTransporte de ondasFormation of Fabry-Perot resonances in double-barrier chaotic billiardsinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleengreponame:Repositório Institucional da UFSinstname:Universidade Federal de Sergipe (UFS)instacron:UFSinfo:eu-repo/semantics/openAccessTHUMBNAILFormationFabry-Perot.pdf.jpgFormationFabry-Perot.pdf.jpgGenerated Thumbnailimage/jpeg1659https://ri.ufs.br/jspui/bitstream/riufs/463/4/FormationFabry-Perot.pdf.jpg846e1f2cad5853aabf001e544727d4a1MD54ORIGINALFormationFabry-Perot.pdfFormationFabry-Perot.pdfapplication/pdf235169https://ri.ufs.br/jspui/bitstream/riufs/463/1/FormationFabry-Perot.pdfb4c0c5e4f1ec339f95fedc86d31b7f56MD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81748https://ri.ufs.br/jspui/bitstream/riufs/463/2/license.txt8a4605be74aa9ea9d79846c1fba20a33MD52TEXTFormationFabry-Perot.pdf.txtFormationFabry-Perot.pdf.txtExtracted texttext/plain77209https://ri.ufs.br/jspui/bitstream/riufs/463/3/FormationFabry-Perot.pdf.txtd309de8127b277b735ed94c3e66b1935MD53riufs/4632013-04-18 18:27:41.067oai:ufs.br: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Repositório InstitucionalPUBhttps://ri.ufs.br/oai/requestrepositorio@academico.ufs.bropendoar:2013-04-18T21:27:41Repositório Institucional da UFS - Universidade Federal de Sergipe (UFS)false
dc.title.pt_BR.fl_str_mv Formation of Fabry-Perot resonances in double-barrier chaotic billiards
title Formation of Fabry-Perot resonances in double-barrier chaotic billiards
spellingShingle Formation of Fabry-Perot resonances in double-barrier chaotic billiards
Souza, André Maurício Conceição de
interferômetro Fabry-Perot
Transporte de ondas
title_short Formation of Fabry-Perot resonances in double-barrier chaotic billiards
title_full Formation of Fabry-Perot resonances in double-barrier chaotic billiards
title_fullStr Formation of Fabry-Perot resonances in double-barrier chaotic billiards
title_full_unstemmed Formation of Fabry-Perot resonances in double-barrier chaotic billiards
title_sort Formation of Fabry-Perot resonances in double-barrier chaotic billiards
author Souza, André Maurício Conceição de
author_facet Souza, André Maurício Conceição de
Macedo, Antônio Murilo Santos
author_role author
author2 Macedo, Antônio Murilo Santos
author2_role author
dc.contributor.author.fl_str_mv Souza, André Maurício Conceição de
Macedo, Antônio Murilo Santos
dc.subject.por.fl_str_mv interferômetro Fabry-Perot
Transporte de ondas
topic interferômetro Fabry-Perot
Transporte de ondas
description We study wave transport through a chaotic quantum billiard attached to two waveguides via barriers of arbitrary transparencies in the semiclassical limit of a large number of open scattering channels. We focus attention on the ergodic regime, which is described by using a random-matrix approach to chaotic resonance scattering together with an extended version of Nazarov’s circuit theory. By varying the relative strength of the barriers’ transparencies a reorganization of the relevant resonances in the energy interval where transport takes place leads to a full suppression of high transmission modes. We provide a detailed quantitative description of the process by means of both numerical and analytical evaluations of the average density of transmission eigenvalues. We show that the density of Fabry-Perot modes can be used as a kind of order parameter for this quantum transition. A diagram is presented as a function of the transparencies of the barriers exhibiting the transport regimes and the transition lines.
publishDate 2005
dc.date.issued.fl_str_mv 2005-06
dc.date.accessioned.fl_str_mv 2013-03-18T23:48:07Z
dc.date.available.fl_str_mv 2013-03-18T23:48:07Z
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.citation.fl_str_mv SOUZA, A. M. C.; MACÊDO, A. M. S. Formation of Fabry-Perot resonances in double-barrier chaotic billiards. Physical Review E, New York, v. 71, n. 6, jun. 2005. Disponível em: <http://link.aps.org/doi/10.1103/PhysRevE.71.066218>. Acesso em: 18 mar. 2013.
dc.identifier.uri.fl_str_mv http://link.aps.org/doi/10.1103/PhysRevE.71.066218
https://ri.ufs.br/handle/riufs/463
dc.identifier.issn.none.fl_str_mv 1550-2376
dc.identifier.license.pt_BR.fl_str_mv Copyrights American Physical Society
identifier_str_mv SOUZA, A. M. C.; MACÊDO, A. M. S. Formation of Fabry-Perot resonances in double-barrier chaotic billiards. Physical Review E, New York, v. 71, n. 6, jun. 2005. Disponível em: <http://link.aps.org/doi/10.1103/PhysRevE.71.066218>. Acesso em: 18 mar. 2013.
1550-2376
Copyrights American Physical Society
url http://link.aps.org/doi/10.1103/PhysRevE.71.066218
https://ri.ufs.br/handle/riufs/463
dc.language.iso.fl_str_mv eng
language eng
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
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dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFS
instname:Universidade Federal de Sergipe (UFS)
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institution UFS
reponame_str Repositório Institucional da UFS
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