Distribution of resonances in the quantum open baker map

We study relevant features of the spectrum of the quantum open baker map. The opening consists of a cut along the momentum p direction of the 2-torus phase space, modeling an open chaotic cavity. We study briefly the classical forward trapped set and analyze the corresponding quantum nonunitary evol...

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Autores principales: Pedrosa, J.M., Carlo, G.G., Wisniacki, D.A., Ermann, L.
Formato: JOUR
Materias:
Phase space methods
Chaotic cavities
Eigen values
Evolution operators
Phase spaces
Quantum decays
Decay (organic)
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_15393755_v79_n1_p_Pedrosa
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_15393755_v79_n1_p_Pedrosa
record_format dspace
spelling todo:paper_15393755_v79_n1_p_Pedrosa2023-10-03T16:22:22Z Distribution of resonances in the quantum open baker map Pedrosa, J.M. Carlo, G.G. Wisniacki, D.A. Ermann, L. Phase space methods Chaotic cavities Eigen values Evolution operators Phase spaces Quantum decays Decay (organic) We study relevant features of the spectrum of the quantum open baker map. The opening consists of a cut along the momentum p direction of the 2-torus phase space, modeling an open chaotic cavity. We study briefly the classical forward trapped set and analyze the corresponding quantum nonunitary evolution operator. The distribution of eigenvalues depends strongly on the location of the escape region with respect to the central discontinuity of this map. This introduces new ingredients to the association among the classical escape and quantum decay rates. Finally, we could verify that the validity of the fractal Weyl law holds in all cases. © 2009 The American Physical Society. Fil:Carlo, G.G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Wisniacki, D.A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Ermann, L. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_15393755_v79_n1_p_Pedrosa
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Phase space methods
Chaotic cavities
Eigen values
Evolution operators
Phase spaces
Quantum decays
Decay (organic)
spellingShingle Phase space methods
Chaotic cavities
Eigen values
Evolution operators
Phase spaces
Quantum decays
Decay (organic)
Pedrosa, J.M.
Carlo, G.G.
Wisniacki, D.A.
Ermann, L.
Distribution of resonances in the quantum open baker map
topic_facet Phase space methods
Chaotic cavities
Eigen values
Evolution operators
Phase spaces
Quantum decays
Decay (organic)
description We study relevant features of the spectrum of the quantum open baker map. The opening consists of a cut along the momentum p direction of the 2-torus phase space, modeling an open chaotic cavity. We study briefly the classical forward trapped set and analyze the corresponding quantum nonunitary evolution operator. The distribution of eigenvalues depends strongly on the location of the escape region with respect to the central discontinuity of this map. This introduces new ingredients to the association among the classical escape and quantum decay rates. Finally, we could verify that the validity of the fractal Weyl law holds in all cases. © 2009 The American Physical Society.
format JOUR
author Pedrosa, J.M.
Carlo, G.G.
Wisniacki, D.A.
Ermann, L.
author_facet Pedrosa, J.M.
Carlo, G.G.
Wisniacki, D.A.
Ermann, L.
author_sort Pedrosa, J.M.
title Distribution of resonances in the quantum open baker map
title_short Distribution of resonances in the quantum open baker map
title_full Distribution of resonances in the quantum open baker map
title_fullStr Distribution of resonances in the quantum open baker map
title_full_unstemmed Distribution of resonances in the quantum open baker map
title_sort distribution of resonances in the quantum open baker map
url http://hdl.handle.net/20.500.12110/paper_15393755_v79_n1_p_Pedrosa
work_keys_str_mv AT pedrosajm distributionofresonancesinthequantumopenbakermap
AT carlogg distributionofresonancesinthequantumopenbakermap
AT wisniackida distributionofresonancesinthequantumopenbakermap
AT ermannl distributionofresonancesinthequantumopenbakermap
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