Artículo

García-Mata, I.; Roncaglia, A.J.; Wisniacki, D.A. "Lyapunov decay in quantum irreversibility" (2016) Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 374(2069)
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Abstract:

The Loschmidt echo-also known as fidelity-is a very useful tool to study irreversibility in quantum mechanics due to perturbations or imperfections. Many different regimes, as a function of time and strength of the perturbation, have been identified. For chaotic systems, there is a range of perturbation strengths where the decay of the Loschmidt echo is perturbation independent, and given by the classical Lyapunov exponent. But observation of the Lyapunov decay depends strongly on the type of initial state upon which an average is carried out. This dependence can be removed by averaging the fidelity over the Haar measure, and the Lyapunov regime is recovered, as has been shown for quantum maps. In this work, we introduce an analogous quantity for systems with infinite dimensional Hilbert space, in particular the quantum stadium billiard, and we show clearly the universality of the Lyapunov regime. © 2016 The Author(s) Published by the Royal Society. All rights reserved.

Registro:

Documento: Artículo
Título:Lyapunov decay in quantum irreversibility
Autor:García-Mata, I.; Roncaglia, A.J.; Wisniacki, D.A.
Filiación:Instituto de Investigaciones Físicas de Mar Del Plata (IFIMAR), CONICET-UNMdP, Mar del Plata, Argentina
Consejo Nacional de Investigaciones Científicas y Tecnológicas (CONICET), Buenos Aires, Argentina
Departamento de Física J. J. Giambiagi, IFIBA, FCEyN, Universidad de Buenos Aires, Buenos Aires, 1428, Argentina
Palabras clave:Foundations of quantum mechanics; Irreversibility; Quantum chaos; Chaotic systems; Hilbert spaces; Lyapunov methods; Foundations of quantum mechanics; Function of time; Infinite dimensional; Irreversibility; Loschmidt echoes; Lyapunov exponent; Perturbation strength; Quantum chaos; Quantum theory
Año:2016
Volumen:374
Número:2069
DOI: http://dx.doi.org/10.1098/rsta.2015.0157
Título revista:Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Título revista abreviado:Philos. Trans. R. Soc. A Math. Phys. Eng. Sci.
ISSN:1364503X
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_1364503X_v374_n2069_p_GarciaMata

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Citas:

---------- APA ----------
García-Mata, I., Roncaglia, A.J. & Wisniacki, D.A. (2016) . Lyapunov decay in quantum irreversibility. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 374(2069).
http://dx.doi.org/10.1098/rsta.2015.0157
---------- CHICAGO ----------
García-Mata, I., Roncaglia, A.J., Wisniacki, D.A. "Lyapunov decay in quantum irreversibility" . Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 374, no. 2069 (2016).
http://dx.doi.org/10.1098/rsta.2015.0157
---------- MLA ----------
García-Mata, I., Roncaglia, A.J., Wisniacki, D.A. "Lyapunov decay in quantum irreversibility" . Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 374, no. 2069, 2016.
http://dx.doi.org/10.1098/rsta.2015.0157
---------- VANCOUVER ----------
García-Mata, I., Roncaglia, A.J., Wisniacki, D.A. Lyapunov decay in quantum irreversibility. Philos. Trans. R. Soc. A Math. Phys. Eng. Sci. 2016;374(2069).
http://dx.doi.org/10.1098/rsta.2015.0157