Extending Covariant Fluctuation Theorems into Quantum Regime through Quasiprobability Approach

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.

Source: arXiv:2606.14519v1 - http://arxiv.org/abs/2606.14519v1 PDF: https://arxiv.org/pdf/2606.14519v1 Original Link: http://arxiv.org/abs/2606.14519v1