Quantum baker maps for spiraling chaotic motion
Autor(a) principal: | |
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Data de Publicação: | 2007 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da FURG (RI FURG) |
Texto Completo: | http://repositorio.furg.br/handle/1/912 http://dx.doi.org/10.1590/S0103-97332007000300016 |
Resumo: | We define a coupling of two baker maps through a p=2 rotation both in position and in momentum. The classical trajectories thus exhibit spiraling, or loxodromic motion, which is only possible for conservative maps of at least two degrees of freedom. This loxodromic baker map is still hyperbolic, that is, fully chaotic. Quantization of this map follows on similar lines to other generalized baker maps. It is found that the eigenvalue spectrum for quantum loxodromic baker map is far removed from those of the canonical random matrix ensembles. An investigation of the symmetries of the loxodromic baker map reveals the cause of this deviation from the Bohigas-Giannoni-Schmit conjecture. |
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Santoro, Pedro R. delVallejos, Raúl OscarAlmeida, Alfredo Miguel Ozorio de2011-08-24T03:01:39Z2011-08-24T03:01:39Z2007SANTORO, Pedro R. del; VALLEJOS, Raúl O.; ALMEIDA, Alfredo M. Ozorio de . Quantum baker maps for spiraling chaotic motion. Brazilian Journal of Physics, v. 37, p. 440-445, jun. 2007. Disponível em: <http://www.scielo.br/pdf/bjp/v37n2a/a16v372a.pdf> Acesso em: 23 ago. 2011.0103-9733http://repositorio.furg.br/handle/1/912http://dx.doi.org/10.1590/S0103-97332007000300016We define a coupling of two baker maps through a p=2 rotation both in position and in momentum. The classical trajectories thus exhibit spiraling, or loxodromic motion, which is only possible for conservative maps of at least two degrees of freedom. This loxodromic baker map is still hyperbolic, that is, fully chaotic. Quantization of this map follows on similar lines to other generalized baker maps. It is found that the eigenvalue spectrum for quantum loxodromic baker map is far removed from those of the canonical random matrix ensembles. An investigation of the symmetries of the loxodromic baker map reveals the cause of this deviation from the Bohigas-Giannoni-Schmit conjecture.engQuantum chaosBaker mapSpiraling motionQuantum baker maps for spiraling chaotic motioninfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da FURG (RI FURG)instname:Universidade Federal do Rio Grande (FURG)instacron:FURGORIGINALQuantum Baker Maps for Spiraling Chaotic Motion.pdfQuantum Baker Maps for Spiraling Chaotic Motion.pdfapplication/pdf184330https://repositorio.furg.br/bitstream/1/912/1/Quantum%20Baker%20Maps%20for%20Spiraling%20Chaotic%20Motion.pdf2286a0c98232c5547b9a4b113a6f64beMD51open accessLICENSElicense.txtlicense.txttext/plain; charset=utf-81724https://repositorio.furg.br/bitstream/1/912/2/license.txt5b92b9704b4f13242d70e45ddef35a68MD52open access1/9122013-02-18 08:23:48.361open accessoai:repositorio.furg.br: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Repositório InstitucionalPUBhttps://repositorio.furg.br/oai/request || http://200.19.254.174/oai/requestopendoar:2013-02-18T11:23:48Repositório Institucional da FURG (RI FURG) - Universidade Federal do Rio Grande (FURG)false |
dc.title.pt_BR.fl_str_mv |
Quantum baker maps for spiraling chaotic motion |
title |
Quantum baker maps for spiraling chaotic motion |
spellingShingle |
Quantum baker maps for spiraling chaotic motion Santoro, Pedro R. del Quantum chaos Baker map Spiraling motion |
title_short |
Quantum baker maps for spiraling chaotic motion |
title_full |
Quantum baker maps for spiraling chaotic motion |
title_fullStr |
Quantum baker maps for spiraling chaotic motion |
title_full_unstemmed |
Quantum baker maps for spiraling chaotic motion |
title_sort |
Quantum baker maps for spiraling chaotic motion |
author |
Santoro, Pedro R. del |
author_facet |
Santoro, Pedro R. del Vallejos, Raúl Oscar Almeida, Alfredo Miguel Ozorio de |
author_role |
author |
author2 |
Vallejos, Raúl Oscar Almeida, Alfredo Miguel Ozorio de |
author2_role |
author author |
dc.contributor.author.fl_str_mv |
Santoro, Pedro R. del Vallejos, Raúl Oscar Almeida, Alfredo Miguel Ozorio de |
dc.subject.por.fl_str_mv |
Quantum chaos Baker map Spiraling motion |
topic |
Quantum chaos Baker map Spiraling motion |
description |
We define a coupling of two baker maps through a p=2 rotation both in position and in momentum. The classical trajectories thus exhibit spiraling, or loxodromic motion, which is only possible for conservative maps of at least two degrees of freedom. This loxodromic baker map is still hyperbolic, that is, fully chaotic. Quantization of this map follows on similar lines to other generalized baker maps. It is found that the eigenvalue spectrum for quantum loxodromic baker map is far removed from those of the canonical random matrix ensembles. An investigation of the symmetries of the loxodromic baker map reveals the cause of this deviation from the Bohigas-Giannoni-Schmit conjecture. |
publishDate |
2007 |
dc.date.issued.fl_str_mv |
2007 |
dc.date.accessioned.fl_str_mv |
2011-08-24T03:01:39Z |
dc.date.available.fl_str_mv |
2011-08-24T03:01:39Z |
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 |
SANTORO, Pedro R. del; VALLEJOS, Raúl O.; ALMEIDA, Alfredo M. Ozorio de . Quantum baker maps for spiraling chaotic motion. Brazilian Journal of Physics, v. 37, p. 440-445, jun. 2007. Disponível em: <http://www.scielo.br/pdf/bjp/v37n2a/a16v372a.pdf> Acesso em: 23 ago. 2011. |
dc.identifier.uri.fl_str_mv |
http://repositorio.furg.br/handle/1/912 |
dc.identifier.issn.none.fl_str_mv |
0103-9733 |
dc.identifier.doi.pt_BR.fl_str_mv |
http://dx.doi.org/10.1590/S0103-97332007000300016 |
identifier_str_mv |
SANTORO, Pedro R. del; VALLEJOS, Raúl O.; ALMEIDA, Alfredo M. Ozorio de . Quantum baker maps for spiraling chaotic motion. Brazilian Journal of Physics, v. 37, p. 440-445, jun. 2007. Disponível em: <http://www.scielo.br/pdf/bjp/v37n2a/a16v372a.pdf> Acesso em: 23 ago. 2011. 0103-9733 |
url |
http://repositorio.furg.br/handle/1/912 http://dx.doi.org/10.1590/S0103-97332007000300016 |
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.source.none.fl_str_mv |
reponame:Repositório Institucional da FURG (RI FURG) instname:Universidade Federal do Rio Grande (FURG) instacron:FURG |
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Universidade Federal do Rio Grande (FURG) |
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FURG |
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Repositório Institucional da FURG (RI FURG) |
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Repositório Institucional da FURG (RI FURG) |
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