Quantum Martingale Theory and Entropy Production
arXiv:1903.02925 · doi:10.1103/PhysRevLett.122.220602
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.
7 pages + 5 pages of supplemental information, 2 figures
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