Universal response of quantum systems with chaotic dynamics

The prediction of the response of a closed system to external perturbations is one of the central problems in quantum mechanics, and in this respect, the local density of states (LDOS) provides an in-depth description of such a response. The LDOS is the distribution of the overlaps squared connectin...

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Detalles Bibliográficos
Autores principales: Wisniacki, D.A., Ares, N., Vergini, E.G.
Formato: JOUR
Materias:
Central problems
Chaotic dynamics
Closed systems
Eigen function
External perturbations
High intensity
Local density of state
Quantum chaos
Quantum mechanics
Quantum system
Wigner Distribution
Eigenvalues and eigenfunctions
Probability distributions
Quantum electronics
Quantum optics
Chaotic systems
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00319007_v104_n25_p_Wisniacki
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_00319007_v104_n25_p_Wisniacki
record_format dspace
spelling todo:paper_00319007_v104_n25_p_Wisniacki2023-10-03T14:42:06Z Universal response of quantum systems with chaotic dynamics Wisniacki, D.A. Ares, N. Vergini, E.G. Central problems Chaotic dynamics Closed systems Eigen function External perturbations High intensity Local density of state Quantum chaos Quantum mechanics Quantum system Wigner Distribution Eigenvalues and eigenfunctions Probability distributions Quantum electronics Quantum optics Chaotic systems The prediction of the response of a closed system to external perturbations is one of the central problems in quantum mechanics, and in this respect, the local density of states (LDOS) provides an in-depth description of such a response. The LDOS is the distribution of the overlaps squared connecting the set of eigenfunctions with the perturbed one. Here, we show that in the case of closed systems with classically chaotic dynamics, the LDOS is a Breit-Wigner distribution under very general perturbations of arbitrary high intensity. Consequently, we derive a semiclassical expression for the width of the LDOS which is shown to be very accurate for paradigmatic systems of quantum chaos. This Letter demonstrates the universal response of quantum systems with classically chaotic dynamics. © 2010 The American Physical Society. Fil:Wisniacki, D.A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Vergini, E.G. 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_00319007_v104_n25_p_Wisniacki
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Central problems
Chaotic dynamics
Closed systems
Eigen function
External perturbations
High intensity
Local density of state
Quantum chaos
Quantum mechanics
Quantum system
Wigner Distribution
Eigenvalues and eigenfunctions
Probability distributions
Quantum electronics
Quantum optics
Chaotic systems
spellingShingle Central problems
Chaotic dynamics
Closed systems
Eigen function
External perturbations
High intensity
Local density of state
Quantum chaos
Quantum mechanics
Quantum system
Wigner Distribution
Eigenvalues and eigenfunctions
Probability distributions
Quantum electronics
Quantum optics
Chaotic systems
Wisniacki, D.A.
Ares, N.
Vergini, E.G.
Universal response of quantum systems with chaotic dynamics
topic_facet Central problems
Chaotic dynamics
Closed systems
Eigen function
External perturbations
High intensity
Local density of state
Quantum chaos
Quantum mechanics
Quantum system
Wigner Distribution
Eigenvalues and eigenfunctions
Probability distributions
Quantum electronics
Quantum optics
Chaotic systems
description The prediction of the response of a closed system to external perturbations is one of the central problems in quantum mechanics, and in this respect, the local density of states (LDOS) provides an in-depth description of such a response. The LDOS is the distribution of the overlaps squared connecting the set of eigenfunctions with the perturbed one. Here, we show that in the case of closed systems with classically chaotic dynamics, the LDOS is a Breit-Wigner distribution under very general perturbations of arbitrary high intensity. Consequently, we derive a semiclassical expression for the width of the LDOS which is shown to be very accurate for paradigmatic systems of quantum chaos. This Letter demonstrates the universal response of quantum systems with classically chaotic dynamics. © 2010 The American Physical Society.
format JOUR
author Wisniacki, D.A.
Ares, N.
Vergini, E.G.
author_facet Wisniacki, D.A.
Ares, N.
Vergini, E.G.
author_sort Wisniacki, D.A.
title Universal response of quantum systems with chaotic dynamics
title_short Universal response of quantum systems with chaotic dynamics
title_full Universal response of quantum systems with chaotic dynamics
title_fullStr Universal response of quantum systems with chaotic dynamics
title_full_unstemmed Universal response of quantum systems with chaotic dynamics
title_sort universal response of quantum systems with chaotic dynamics
url http://hdl.handle.net/20.500.12110/paper_00319007_v104_n25_p_Wisniacki
work_keys_str_mv AT wisniackida universalresponseofquantumsystemswithchaoticdynamics
AT aresn universalresponseofquantumsystemswithchaoticdynamics
AT verginieg universalresponseofquantumsystemswithchaoticdynamics
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