Extending Covariant Fluctuation Theorems into Quantum Regime through Quasiprobability Approach

Ji-Hui Pei; Tingzhang Shi; Jin-Fu Chen; H. T. Quan

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arXiv · 2606.14519

Extending Covariant Fluctuation Theorems into Quantum Regime through Quasiprobability Approach

Ji-Hui Pei·Tingzhang Shi·Jin-Fu Chen·H. T. Quan

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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.

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Ji-Hui Pei, Tingzhang Shi, Jin-Fu Chen, H. T. Quan. 2026-06-12. Extending Covariant Fluctuation Theorems into Quantum Regime through Quasiprobability Approach. https://arxiv.org/abs/2606.14519

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