Volume 120, Number 3, November 2017
|Number of page(s)||6|
|Published online||19 January 2018|
Semiclassical approach to the work distribution
1 Instituto de Investigaciones Físicas de Mar del Plata (IFIMAR), CONICET-UNMdP - Mar del Plata, Argentina
2 Consejo Nacional de Investigaciones Científicas y Tecnológicas (CONICET) - Buenos Aires, Argentina
3 Departamento de Física “J. J. Giambiagi” and IFIBA, FCEyN, Universidad de Buenos Aires 1428 Buenos Aires, Argentina
Received: 19 September 2017
Accepted: 25 December 2017
Work in closed quantum systems is usually defined by a two-point measurement. This definition of work is compatible with quantum fluctuation theorems but it fundamentally differs from its classical counterpart. In this paper, we study the correspondence principle in quantum chaotic systems. We derive a semiclassical expression of the work distribution for chaotic systems undergoing a general, finite time, process. This semiclassical distribution converges to the classical distribution in the usual classical limit. We show numerically that, for a particle inside a chaotic cavity, the semiclassical distribution provides a good approximation to quantum distribution.
PACS: 03.65.-w – Quantum mechanics / 05.30.-d – Quantum statistical mechanics / 05.45.Mt – Quantum chaos; semiclassical methods
© EPLA, 2018
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