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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Detalles Bibliográficos
Autores principales:	Carlo, Gabriel Gustavo, Wisniacki, Diego A., Ermann, Leonardo
Publicado:	2009
Materias:	Phase space methods Chaotic cavities Eigen values Evolution operators Phase spaces Quantum decays Decay (organic)
Acceso en línea:	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v79_n1_p_Pedrosa 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	paper:paper_15393755_v79_n1_p_Pedrosa
record_format	dspace
spelling	paper:paper_15393755_v79_n1_p_Pedrosa2023-06-08T16:20:38Z Distribution of resonances in the quantum open baker map Carlo, Gabriel Gustavo Wisniacki, Diego A. Ermann, Leonardo 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. 2009 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v79_n1_p_Pedrosa 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) Carlo, Gabriel Gustavo Wisniacki, Diego A. Ermann, Leonardo 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.
author	Carlo, Gabriel Gustavo Wisniacki, Diego A. Ermann, Leonardo
author_facet	Carlo, Gabriel Gustavo Wisniacki, Diego A. Ermann, Leonardo
author_sort	Carlo, Gabriel Gustavo
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
publishDate	2009
url	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v79_n1_p_Pedrosa http://hdl.handle.net/20.500.12110/paper_15393755_v79_n1_p_Pedrosa
work_keys_str_mv	AT carlogabrielgustavo distributionofresonancesinthequantumopenbakermap AT wisniackidiegoa distributionofresonancesinthequantumopenbakermap AT ermannleonardo distributionofresonancesinthequantumopenbakermap
_version_	1768545617562304512

Distribution of resonances in the quantum open baker map

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