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arXiv · 1912.04969

Semi-classical work and quantum work identities in Weyl representation

O. Brodier·K. Mallick·A. M. Ozorio de Almeida
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Abstract

We derive a semi-classical nonequilibrium work identity by applying the Wigner-Weyl quantization scheme to the Jarzynski identity for a classical Hamiltonian. This allows us, to the leading order in $\hbar$, to overcome the problem of defining the concept of work in quantum mechanics. We propose a geometric interpretation of this semi-classical relation in terms of trajectories in a complex phase space and illustrate it with the exactly solvable case of the quantum harmonic oscillator.

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O. Brodier, K. Mallick, A. M. Ozorio de Almeida. 2019-12-10. Semi-classical work and quantum work identities in Weyl representation. https://doi.org/10.1088/1751-8121%2Fab8110

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