Perturbations and chaos in quantum maps

The local density of states (LDOS) is a distribution that characterizes the effects of perturbations on quantum systems. Recently, a semiclassical theory was proposed for the LDOS of chaotic billiards and maps. This theory predicts that the LDOS is a Breit-Wigner distribution independent of the pert...

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Autor principal: Wisniacki, Diego A.
Publicado: 2012
Materias:
Chaotic map
Chaoticity
Classical dynamics
In-phase
Local density of state
Perturbation strength
Quantum distribution
Quantum maps
Quantum system
Semiclassical theories
Strong perturbations
Chaotic systems
Phase space methods
Quantum electronics
Quantum optics
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v86_n2_p_Bullo
http://hdl.handle.net/20.500.12110/paper_15393755_v86_n2_p_Bullo
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_15393755_v86_n2_p_Bullo
record_format dspace
spelling paper:paper_15393755_v86_n2_p_Bullo2023-06-08T16:20:54Z Perturbations and chaos in quantum maps Wisniacki, Diego A. Chaotic map Chaoticity Classical dynamics In-phase Local density of state Perturbation strength Quantum distribution Quantum maps Quantum system Semiclassical theories Strong perturbations Chaotic systems Phase space methods Quantum electronics Quantum optics The local density of states (LDOS) is a distribution that characterizes the effects of perturbations on quantum systems. Recently, a semiclassical theory was proposed for the LDOS of chaotic billiards and maps. This theory predicts that the LDOS is a Breit-Wigner distribution independent of the perturbation strength and also gives a semiclassical expression for the LDOS width. Here, we test the validity of such an approximation in quantum maps by varying the degree of chaoticity, the region in phase space where the perturbation is applied, and the intensity of the perturbation. We show that for highly chaotic maps or strong perturbations the semiclassical theory of the LDOS is accurate to describe the quantum distribution. Moreover, the width of the LDOS is also well represented for its semiclassical expression in the case of mixed classical dynamics. © 2012 American Physical Society. Fil:Wisniacki, D.A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2012 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v86_n2_p_Bullo http://hdl.handle.net/20.500.12110/paper_15393755_v86_n2_p_Bullo
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Chaotic map
Chaoticity
Classical dynamics
In-phase
Local density of state
Perturbation strength
Quantum distribution
Quantum maps
Quantum system
Semiclassical theories
Strong perturbations
Chaotic systems
Phase space methods
Quantum electronics
Quantum optics
spellingShingle Chaotic map
Chaoticity
Classical dynamics
In-phase
Local density of state
Perturbation strength
Quantum distribution
Quantum maps
Quantum system
Semiclassical theories
Strong perturbations
Chaotic systems
Phase space methods
Quantum electronics
Quantum optics
Wisniacki, Diego A.
Perturbations and chaos in quantum maps
topic_facet Chaotic map
Chaoticity
Classical dynamics
In-phase
Local density of state
Perturbation strength
Quantum distribution
Quantum maps
Quantum system
Semiclassical theories
Strong perturbations
Chaotic systems
Phase space methods
Quantum electronics
Quantum optics
description The local density of states (LDOS) is a distribution that characterizes the effects of perturbations on quantum systems. Recently, a semiclassical theory was proposed for the LDOS of chaotic billiards and maps. This theory predicts that the LDOS is a Breit-Wigner distribution independent of the perturbation strength and also gives a semiclassical expression for the LDOS width. Here, we test the validity of such an approximation in quantum maps by varying the degree of chaoticity, the region in phase space where the perturbation is applied, and the intensity of the perturbation. We show that for highly chaotic maps or strong perturbations the semiclassical theory of the LDOS is accurate to describe the quantum distribution. Moreover, the width of the LDOS is also well represented for its semiclassical expression in the case of mixed classical dynamics. © 2012 American Physical Society.
author Wisniacki, Diego A.
author_facet Wisniacki, Diego A.
author_sort Wisniacki, Diego A.
title Perturbations and chaos in quantum maps
title_short Perturbations and chaos in quantum maps
title_full Perturbations and chaos in quantum maps
title_fullStr Perturbations and chaos in quantum maps
title_full_unstemmed Perturbations and chaos in quantum maps
title_sort perturbations and chaos in quantum maps
publishDate 2012
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v86_n2_p_Bullo
http://hdl.handle.net/20.500.12110/paper_15393755_v86_n2_p_Bullo
work_keys_str_mv AT wisniackidiegoa perturbationsandchaosinquantummaps
_version_ 1768544009795403776

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