Related papers: Jarzynski equality for conditional stochastic work

Jarzynski equality for conditional stochastic work

URL: http://arxiv.org/abs/2010.05835v2
Date: Wed, 7 Apr 2021 04:26:05 GMT
Title: Jarzynski equality for conditional stochastic work
Authors: Akira Sone and Sebastian Deffner
Abstract summary: It has been established that the inclusive work for classical, Hamiltonian dynamics is equivalent to the two-time energy measurement paradigm in isolated quantum systems. A plethora of other notions of quantum work has emerged, and thus the natural question arises whether any other quantum notion can provide motivation for purely classical considerations.
Score: 0.0
License: http://creativecommons.org/licenses/by/4.0/
Abstract: It has been established that the inclusive work for classical, Hamiltonian dynamics is equivalent to the two-time energy measurement paradigm in isolated quantum systems. However, a plethora of other notions of quantum work has emerged, and thus the natural question arises whether any other quantum notion can provide motivation for purely classical considerations. In the present analysis, we propose the conditional stochastic work for classical, Hamiltonian dynamics, which is inspired by the one-time measurement approach. This novel notion is built upon the change of expectation value of the energy conditioned on the initial energy surface. As main results we obtain a generalized Jarzynski equality and a sharper maximum work theorem, which account for how non-adiabatic the process is. Our findings are illustrated with the parametric harmonic oscillator.

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