Artículo
García-Mata, I.; Saraceno, M.; Jalabert, R.A.; Roncaglia, A.J.; Wisniacki, D.A. "Chaos Signatures in the Short and Long Time Behavior of the Out-of-Time Ordered Correlator" (2018) Physical Review Letters. 121(21)
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Abstract:
Two properties are needed for a classical system to be chaotic: exponential stretching and mixing. Recently, out-of-time order correlators were proposed as a measure of chaos in a wide range of physical systems. While most of the attention has previously been devoted to the short time stretching aspect of chaos, characterized by the Lyapunov exponent, we show for quantum maps that the out-of-time correlator approaches its stationary value exponentially with a rate determined by the Ruelle-Pollicot resonances. This property constitutes clear evidence of the dual role of the underlying classical chaos dictating the behavior of the correlator at different timescales. © 2018 American Physical Society.
Registro:
| Documento: | Artículo |
| Título: | Chaos Signatures in the Short and Long Time Behavior of the Out-of-Time Ordered Correlator |
| Autor: | García-Mata, I.; Saraceno, M.; Jalabert, R.A.; Roncaglia, A.J.; Wisniacki, D.A. |
| Filiación: | Instituto de Investigaciones Físicas de Mar Del Plata (IFIMAR), Facultad de Ciencias Exactas y Naturales, Universidad Nacional de Mar Del Plata, CONICET, Mar del Plata, 7600, Argentina Departamento de Física Teórica, Comisión Nacional de Energía Atómica, Buenos Aires, 1429, Argentina Escuela de Ciencia y Tecnología, Universidad Nacional de San Martín, San-Martín, 1650, Argentina Université de Strasbourg, CNRS, Institut de Physique et Chimie des Matériaux de Strasbourg, UMR 7504, Strasbourg, F-67000, France Departamento de Física J. J. Giambiagi, IFIBA, FCEyN, Universidad de Buenos Aires, Buenos Aires, 1428, Argentina |
| Palabras clave: | Correlators; Classical systems; Long time behavior; Lyapunov exponent; Physical systems; Quantum maps; Station-ary values; Time ordering; Time stretching; Lyapunov methods |
| Año: | 2018 |
| Volumen: | 121 |
| Número: | 21 |
| DOI: | http://dx.doi.org/10.1103/PhysRevLett.121.210601 |
| Título revista: | Physical Review Letters |
| Título revista abreviado: | Phys Rev Lett |
| ISSN: | 00319007 |
| CODEN: | PRLTA |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00319007_v121_n21_p_GarciaMata |
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Citas:
---------- APA ----------
García-Mata, I., Saraceno, M., Jalabert, R.A., Roncaglia, A.J. & Wisniacki, D.A. (2018) . Chaos Signatures in the Short and Long Time Behavior of the Out-of-Time Ordered Correlator. Physical Review Letters, 121(21).http://dx.doi.org/10.1103/PhysRevLett.121.210601
---------- CHICAGO ----------
García-Mata, I., Saraceno, M., Jalabert, R.A., Roncaglia, A.J., Wisniacki, D.A. "Chaos Signatures in the Short and Long Time Behavior of the Out-of-Time Ordered Correlator" . Physical Review Letters 121, no. 21 (2018).http://dx.doi.org/10.1103/PhysRevLett.121.210601
---------- MLA ----------
García-Mata, I., Saraceno, M., Jalabert, R.A., Roncaglia, A.J., Wisniacki, D.A. "Chaos Signatures in the Short and Long Time Behavior of the Out-of-Time Ordered Correlator" . Physical Review Letters, vol. 121, no. 21, 2018.http://dx.doi.org/10.1103/PhysRevLett.121.210601
---------- VANCOUVER ----------
García-Mata, I., Saraceno, M., Jalabert, R.A., Roncaglia, A.J., Wisniacki, D.A. Chaos Signatures in the Short and Long Time Behavior of the Out-of-Time Ordered Correlator. Phys Rev Lett. 2018;121(21).http://dx.doi.org/10.1103/PhysRevLett.121.210601
