Abstract:
The out-of-time-order correlator (OTOC), recently analyzed in several physical contexts, is studied for low-dimensional chaotic systems through semiclassical expansions and numerical simulations. The semiclassical expansion for the OTOC yields a leading-order contribution in 2 that is exponentially increasing with time within an intermediate, temperature-dependent, time window. The growth-rate in such a regime is governed by the Lyapunov exponent of the underlying classical system and scales with the square-root of the temperature. © 2018 American Physical Society.
Registro:
Documento: |
Artículo
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Título: | Semiclassical theory of out-of-time-order correlators for low-dimensional classically chaotic systems |
Autor: | Jalabert, R.A.; García-Mata, I.; Wisniacki, D.A. |
Filiación: | Université de Strasbourg, CNRS, Institut de Physique et Chimie des Matériaux de Strasbourg, UMR 7504, Strasbourg, F-67000, France Instituto de Investigaciones Físicas de Mar Del Plata (IFIMAR), CONICET-UNMdP, Mar del Plata, Argentina Consejo Nacional de Investigaciones Científicas y Tecnológicas (CONICET), Argentina Departamento de Física J. J. Giambiagi and IFIBA, FCEyN, Universidad de Buenos Aires, Buenos Aires, 1428, Argentina
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Palabras clave: | Correlators; Expansion; Lyapunov methods; Classical systems; Leading orders; Low dimensional; Lyapunov exponent; Semiclassical theories; Temperature dependent; Time ordering; Time windows; Chaotic systems |
Año: | 2018
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Volumen: | 98
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Número: | 6
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DOI: |
http://dx.doi.org/10.1103/PhysRevE.98.062218 |
Título revista: | Physical Review E
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Título revista abreviado: | Phys. Rev. E
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ISSN: | 24700045
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_24700045_v98_n6_p_Jalabert |
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Citas:
---------- APA ----------
Jalabert, R.A., García-Mata, I. & Wisniacki, D.A.
(2018)
. Semiclassical theory of out-of-time-order correlators for low-dimensional classically chaotic systems. Physical Review E, 98(6).
http://dx.doi.org/10.1103/PhysRevE.98.062218---------- CHICAGO ----------
Jalabert, R.A., García-Mata, I., Wisniacki, D.A.
"Semiclassical theory of out-of-time-order correlators for low-dimensional classically chaotic systems"
. Physical Review E 98, no. 6
(2018).
http://dx.doi.org/10.1103/PhysRevE.98.062218---------- MLA ----------
Jalabert, R.A., García-Mata, I., Wisniacki, D.A.
"Semiclassical theory of out-of-time-order correlators for low-dimensional classically chaotic systems"
. Physical Review E, vol. 98, no. 6, 2018.
http://dx.doi.org/10.1103/PhysRevE.98.062218---------- VANCOUVER ----------
Jalabert, R.A., García-Mata, I., Wisniacki, D.A. Semiclassical theory of out-of-time-order correlators for low-dimensional classically chaotic systems. Phys. Rev. E. 2018;98(6).
http://dx.doi.org/10.1103/PhysRevE.98.062218