Extending Covariant Fluctuation Theorems into Quantum Regime through Quasiprobability Approach

• URL: http://arxiv.org/abs/2606.14519v1
• Date: Fri, 12 Jun 2026 14:50:57 GMT
• Title: Extending Covariant Fluctuation Theorems into Quantum Regime through Quasiprobability Approach
• Abstract summary: We introduce a new quasiprobability distribution for the work 4-vector, which combines the Wigner and Margenau-Hill quasiprobabilities.<n>This extends the covariant fluctuation theorems from classical to quantum regime.
• Score: 1.5469427139019245
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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