Loschmidt echo and the local density of states

Loschmidt echo (LE) is a measure of reversibility and sensitivity to perturbations of quantum evolutions. For weak perturbations its decay rate is given by the width of the local density of states (LDOS). When the perturbation is strong enough, it has been shown in chaotic systems that its decay is...

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Autores principales: Ares, N., Wisniacki, D.A.
Formato: JOUR
Materias:
Cat map
Coherent oscillations
Decay rate
Local density of state
Local perturbation
Loschmidt echoes
Lyapunov decay
Lyapunov exponent
Nonuniform
Perturbation strength
Phase spaces
Quantum evolution
Small region
Weak perturbation
Chaotic systems
Differential equations
Phase space methods
Decay (organic)
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_15393755_v80_n4_p_Ares
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_15393755_v80_n4_p_Ares
record_format dspace
spelling todo:paper_15393755_v80_n4_p_Ares2023-10-03T16:22:30Z Loschmidt echo and the local density of states Ares, N. Wisniacki, D.A. Cat map Coherent oscillations Decay rate Local density of state Local perturbation Loschmidt echoes Lyapunov decay Lyapunov exponent Nonuniform Perturbation strength Phase spaces Quantum evolution Small region Weak perturbation Chaotic systems Differential equations Phase space methods Decay (organic) Loschmidt echo (LE) is a measure of reversibility and sensitivity to perturbations of quantum evolutions. For weak perturbations its decay rate is given by the width of the local density of states (LDOS). When the perturbation is strong enough, it has been shown in chaotic systems that its decay is dictated by the classical Lyapunov exponent. However, several recent studies have shown an unexpected nonuniform decay rate as a function of the perturbation strength instead of that Lyapunov decay. Here we study the systematic behavior of this regime in perturbed cat maps. We show that some perturbations produce coherent oscillations in the width of LDOS that imprint clear signals of the perturbation in LE decay. We also show that if the perturbation acts in a small region of phase space (local perturbation) the effect is magnified and the decay is given by the width of the LDOS. © 2009 The American Physical Society. Fil:Wisniacki, D.A. 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_v80_n4_p_Ares
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Cat map
Coherent oscillations
Decay rate
Local density of state
Local perturbation
Loschmidt echoes
Lyapunov decay
Lyapunov exponent
Nonuniform
Perturbation strength
Phase spaces
Quantum evolution
Small region
Weak perturbation
Chaotic systems
Differential equations
Phase space methods
Decay (organic)
spellingShingle Cat map
Coherent oscillations
Decay rate
Local density of state
Local perturbation
Loschmidt echoes
Lyapunov decay
Lyapunov exponent
Nonuniform
Perturbation strength
Phase spaces
Quantum evolution
Small region
Weak perturbation
Chaotic systems
Differential equations
Phase space methods
Decay (organic)
Ares, N.
Wisniacki, D.A.
Loschmidt echo and the local density of states
topic_facet Cat map
Coherent oscillations
Decay rate
Local density of state
Local perturbation
Loschmidt echoes
Lyapunov decay
Lyapunov exponent
Nonuniform
Perturbation strength
Phase spaces
Quantum evolution
Small region
Weak perturbation
Chaotic systems
Differential equations
Phase space methods
Decay (organic)
description Loschmidt echo (LE) is a measure of reversibility and sensitivity to perturbations of quantum evolutions. For weak perturbations its decay rate is given by the width of the local density of states (LDOS). When the perturbation is strong enough, it has been shown in chaotic systems that its decay is dictated by the classical Lyapunov exponent. However, several recent studies have shown an unexpected nonuniform decay rate as a function of the perturbation strength instead of that Lyapunov decay. Here we study the systematic behavior of this regime in perturbed cat maps. We show that some perturbations produce coherent oscillations in the width of LDOS that imprint clear signals of the perturbation in LE decay. We also show that if the perturbation acts in a small region of phase space (local perturbation) the effect is magnified and the decay is given by the width of the LDOS. © 2009 The American Physical Society.
format JOUR
author Ares, N.
Wisniacki, D.A.
author_facet Ares, N.
Wisniacki, D.A.
author_sort Ares, N.
title Loschmidt echo and the local density of states
title_short Loschmidt echo and the local density of states
title_full Loschmidt echo and the local density of states
title_fullStr Loschmidt echo and the local density of states
title_full_unstemmed Loschmidt echo and the local density of states
title_sort loschmidt echo and the local density of states
url http://hdl.handle.net/20.500.12110/paper_15393755_v80_n4_p_Ares
work_keys_str_mv AT aresn loschmidtechoandthelocaldensityofstates
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