Lyapunov exponents and poles in a non Hermitian dynamics

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...

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Autor principal: Gómez, Ignacio Sebastián
Formato: Articulo
Lenguaje:Inglés
Publicado: 2017
Materias:
Ciencias Exactas
Física
Poles
Lyapunov exponents
KS–entropy
Pesin theorem
KS–time
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/125305
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-125305
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ciencias Exactas
Física
Poles
Lyapunov exponents
KS–entropy
Pesin theorem
KS–time
spellingShingle Ciencias Exactas
Física
Poles
Lyapunov exponents
KS–entropy
Pesin theorem
KS–time
Gómez, Ignacio Sebastián
Lyapunov exponents and poles in a non Hermitian dynamics
topic_facet Ciencias Exactas
Física
Poles
Lyapunov exponents
KS–entropy
Pesin theorem
KS–time
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.
format Articulo
Articulo
author Gómez, Ignacio Sebastián
author_facet Gómez, Ignacio Sebastián
author_sort Gómez, Ignacio Sebastián
title Lyapunov exponents and poles in a non Hermitian dynamics
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
publishDate 2017
url http://sedici.unlp.edu.ar/handle/10915/125305
work_keys_str_mv AT gomezignaciosebastian lyapunovexponentsandpolesinanonhermitiandynamics
bdutipo_str Repositorios
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