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arXiv · 1903.02925

Quantum Martingale Theory and Entropy Production

Gonzalo Manzano·Rosario Fazio·Édgar Roldán
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Abstract

We develop a martingale theory to describe fluctuations of entropy production for open quantum systems in nonequilbrium steady states. Using the formalism of quantum jump trajectories, we identify a decomposition of entropy production into an exponential martingale and a purely quantum term, both obeying integral fluctuation theorems. An important consequence of this approach is the derivation of a set of genuine universal results for stopping-time and infimum statistics of stochastic entropy production. Finally we complement the general formalism with numerical simulations of a qubit system.

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Gonzalo Manzano, Rosario Fazio, Édgar Roldán. 2019-06-11. Quantum Martingale Theory and Entropy Production. https://doi.org/10.1103/physrevlett.122.220602

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