Semiclassical approach to the work distribution

Abstract

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.

5 pages, 4 figures

References in corpus (11)

• Fluctuation theorems: Work is not an observable
• Experimental Test of Quantum Jarzynski Equality with a Trapped Ion System
• The Statistics of the Work Done on a Quantum Critical System by Quenching a Control Parameter
• Rare events and the convergence of exponentially averaged work values
• Work measurement as a generalized quantum measurement
• Loschmidt Echo
• Employing trapped cold ions to verify the quantum Jarzynski equality
• Using a quantum work meter to test non-equilibrium fluctuation theorems
• Dephasing representation of quantum fidelity for general pure and mixed states
• Measurement-dependent corrections to work distributions arising from quantum coherences
• Understanding quantum work in a quantum many-body system

Cited by in corpus (9)

• Work Statistics, Loschmidt Echo and Information Scrambling in Chaotic Quantum Systems
• Quantum work statistics, Loschmidt echo and information scrambling
• Quantum work statistics and resource theories: bridging the gap through Renyi divergences
• Quantum work for sudden quenches in Gaussian random Hamiltonians
• Work statistics for sudden quenches in interacting quantum many-body systems
• Energy conservation and fluctuation theorem are incompatible for quantum work
• Semi-classical work and quantum work identities in Weyl representation
• Work statistics in the periodically driven quartic oscillator: classical versus quantum dynamics
• Quantum work statistics in regular and classical-chaotic dynamical billiard systems