Abstract:
The work distribution is a fundamental quantity in nonequilibrium thermodynamics mainly due to its connection with fluctuation theorems. Here, we develop a semiclassical approximation to the work distribution for a quench process in chaotic systems that provides a link between the quantum and classical work distributions. The approach is based on the dephasing representation of the quantum Loschmidt echo and on the quantum ergodic conjecture, which states that the Wigner function of a typical eigenstate of a classically chaotic Hamiltonian is equidistributed on the energy shell. Using numerical simulations, we show that our semiclassical approximation accurately describes the quantum distribution as the temperature is increased. © 2017 American Physical Society.
Registro:
Documento: |
Artículo
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Título: | Quantum-to-classical transition in the work distribution for chaotic systems |
Autor: | García-Mata, I.; Roncaglia, A.J.; Wisniacki, D.A. |
Filiación: | Instituto de Investigaciones Físicas de Mar Del Plata (IFIMAR), CONICET-UNMdP, Funes 3350, Mar del Plata, B7602AYL, Argentina Consejo Nacional de Investigaciones Científicas y Tecnológicas (CONICET), Godoy Cruz 2290 (C1425FQB) CABA, Argentina Departamento de Física J. J. Giambiagi, IFIBA, FCEyN, Universidad de Buenos Aires, Buenos Aires, 1428, Argentina
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Palabras clave: | Chaotic systems; Quantum theory; Thermodynamics; Fluctuation theorems; Loschmidt echoes; Non equilibrium thermodynamics; Quantum distribution; Quantum to classical transition; Semi-classical approximation; Wigner functions; Work distribution; Hamiltonians |
Año: | 2017
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Volumen: | 95
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Número: | 5
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DOI: |
http://dx.doi.org/10.1103/PhysRevE.95.050102 |
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_v95_n5_p_GarciaMata |
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Citas:
---------- APA ----------
García-Mata, I., Roncaglia, A.J. & Wisniacki, D.A.
(2017)
. Quantum-to-classical transition in the work distribution for chaotic systems. Physical Review E, 95(5).
http://dx.doi.org/10.1103/PhysRevE.95.050102---------- CHICAGO ----------
García-Mata, I., Roncaglia, A.J., Wisniacki, D.A.
"Quantum-to-classical transition in the work distribution for chaotic systems"
. Physical Review E 95, no. 5
(2017).
http://dx.doi.org/10.1103/PhysRevE.95.050102---------- MLA ----------
García-Mata, I., Roncaglia, A.J., Wisniacki, D.A.
"Quantum-to-classical transition in the work distribution for chaotic systems"
. Physical Review E, vol. 95, no. 5, 2017.
http://dx.doi.org/10.1103/PhysRevE.95.050102---------- VANCOUVER ----------
García-Mata, I., Roncaglia, A.J., Wisniacki, D.A. Quantum-to-classical transition in the work distribution for chaotic systems. Phys. Rev. E. 2017;95(5).
http://dx.doi.org/10.1103/PhysRevE.95.050102