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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Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v80_n4_p_Ares http://hdl.handle.net/20.500.12110/paper_15393755_v80_n4_p_Ares |
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paper:paper_15393755_v80_n4_p_Ares2023-06-08T16:20:44Z Loschmidt echo and the local density of states Wisniacki, Diego 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. 2009 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v80_n4_p_Ares 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) Wisniacki, Diego 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. |
author |
Wisniacki, Diego A. |
author_facet |
Wisniacki, Diego A. |
author_sort |
Wisniacki, Diego A. |
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 |
publishDate |
2009 |
url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v80_n4_p_Ares http://hdl.handle.net/20.500.12110/paper_15393755_v80_n4_p_Ares |
work_keys_str_mv |
AT wisniackidiegoa loschmidtechoandthelocaldensityofstates |
_version_ |
1768542003726909440 |