Extending Covariant Fluctuation Theorems into Quantum Regime through Quasiprobability Approach

Abstract:The covariant formulation of stochastic thermodynamics requires treating the stochastic work as a 4-vector, posing significant challenges for quantum systems due to the non-commutativity. We introduce a new quasiprobability distribution for the work 4-vector, which combines the Wigner and Margenau-Hill quasiprobabilities. This extends the covariant fluctuation theorems from classical to quantum regime. We illustrate our findings with a scalar field driven by classical particles with a generalized version of trace formula. Our work establishes a quasiprobability approach to studying relativistic quantum thermodynamics in a covariant way.

Statistical Mechanics (cond-mat.stat-mech); Quantum Physics (quant-ph)

arXiv:2606.14519 [cond-mat.stat-mech]

(or arXiv:2606.14519v1 [cond-mat.stat-mech] for this version)

https://doi.org/10.48550/arXiv.2606.14519 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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