Lyapunov exponents and poles in a non Hermitian dynamics
- Autores
- Gómez, Ignacio Sebastián
- Año de publicación
- 2017
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- By means of expressing volumes in phase space in terms of traces of quantum operators, a relationship between the poles of the scattering matrix and the Lyapunov exponents in a non Hermitian quantum dynamics, is presented. We illustrate the formalism by characterizing the behavior of the Gamow model whose dissipative decay time, measured by its decoherence time, is found to be inversely proportional to the Lyapunov exponents of the unstable periodic orbits. The results are in agreement with those obtained by means of the semiclassical periodic–orbit approach in quantum resonances theory but using a simpler mathematics.
Facultad de Ciencias Exactas
Instituto de Física La Plata - Materia
-
Ciencias Exactas
Física
Poles
Lyapunov exponents
KS–entropy
Pesin theorem
KS–time - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- http://creativecommons.org/licenses/by-nc-sa/4.0/
- Repositorio
.jpg)
- Institución
- Universidad Nacional de La Plata
- OAI Identificador
- oai:sedici.unlp.edu.ar:10915/125305
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Lyapunov exponents and poles in a non Hermitian dynamicsGómez, Ignacio SebastiánCiencias ExactasFísicaPolesLyapunov exponentsKS–entropyPesin theoremKS–timeBy means of expressing volumes in phase space in terms of traces of quantum operators, a relationship between the poles of the scattering matrix and the Lyapunov exponents in a non Hermitian quantum dynamics, is presented. We illustrate the formalism by characterizing the behavior of the Gamow model whose dissipative decay time, measured by its decoherence time, is found to be inversely proportional to the Lyapunov exponents of the unstable periodic orbits. The results are in agreement with those obtained by means of the semiclassical periodic–orbit approach in quantum resonances theory but using a simpler mathematics.Facultad de Ciencias ExactasInstituto de Física La Plata2017-06info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf155-161http://sedici.unlp.edu.ar/handle/10915/125305enginfo:eu-repo/semantics/altIdentifier/issn/0960-0779info:eu-repo/semantics/altIdentifier/arxiv/1702.01216info:eu-repo/semantics/altIdentifier/doi/10.1016/j.chaos.2017.04.009info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-10-22T17:10:44Zoai:sedici.unlp.edu.ar:10915/125305Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-10-22 17:10:44.526SEDICI (UNLP) - Universidad Nacional de La Platafalse |
| dc.title.none.fl_str_mv |
Lyapunov exponents and poles in a non Hermitian dynamics |
| title |
Lyapunov exponents and poles in a non Hermitian dynamics |
| spellingShingle |
Lyapunov exponents and poles in a non Hermitian dynamics Gómez, Ignacio Sebastián Ciencias Exactas Física Poles Lyapunov exponents KS–entropy Pesin theorem KS–time |
| title_short |
Lyapunov exponents and poles in a non Hermitian dynamics |
| title_full |
Lyapunov exponents and poles in a non Hermitian dynamics |
| title_fullStr |
Lyapunov exponents and poles in a non Hermitian dynamics |
| title_full_unstemmed |
Lyapunov exponents and poles in a non Hermitian dynamics |
| title_sort |
Lyapunov exponents and poles in a non Hermitian dynamics |
| dc.creator.none.fl_str_mv |
Gómez, Ignacio Sebastián |
| author |
Gómez, Ignacio Sebastián |
| author_facet |
Gómez, Ignacio Sebastián |
| author_role |
author |
| dc.subject.none.fl_str_mv |
Ciencias Exactas Física Poles Lyapunov exponents KS–entropy Pesin theorem KS–time |
| topic |
Ciencias Exactas Física Poles Lyapunov exponents KS–entropy Pesin theorem KS–time |
| dc.description.none.fl_txt_mv |
By means of expressing volumes in phase space in terms of traces of quantum operators, a relationship between the poles of the scattering matrix and the Lyapunov exponents in a non Hermitian quantum dynamics, is presented. We illustrate the formalism by characterizing the behavior of the Gamow model whose dissipative decay time, measured by its decoherence time, is found to be inversely proportional to the Lyapunov exponents of the unstable periodic orbits. The results are in agreement with those obtained by means of the semiclassical periodic–orbit approach in quantum resonances theory but using a simpler mathematics. Facultad de Ciencias Exactas Instituto de Física La Plata |
| description |
By means of expressing volumes in phase space in terms of traces of quantum operators, a relationship between the poles of the scattering matrix and the Lyapunov exponents in a non Hermitian quantum dynamics, is presented. We illustrate the formalism by characterizing the behavior of the Gamow model whose dissipative decay time, measured by its decoherence time, is found to be inversely proportional to the Lyapunov exponents of the unstable periodic orbits. The results are in agreement with those obtained by means of the semiclassical periodic–orbit approach in quantum resonances theory but using a simpler mathematics. |
| publishDate |
2017 |
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2017-06 |
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http://sedici.unlp.edu.ar/handle/10915/125305 |
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eng |
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eng |
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