Semi-classical work and quantum work identities in Weyl representation
arXiv:1912.04969 · doi:10.1088/1751-8121/ab8110
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 , 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.
19 pages, 4 figures
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- The quantum canonical ensemble in phase space
- Revising the quantum work fluctuation framework to encompass energy conservation
- Heat exchange and fluctuation in Gaussian thermal states in the quantum realm