We employ 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.

Quantum Martingale Theory and Entropy Production / Manzano, G.; Fazio, R.; Roldan, E.. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - 122:22(2019), p. 220602. [10.1103/PhysRevLett.122.220602]

Quantum Martingale Theory and Entropy Production

Fazio R.
;
Roldan E.
2019

Abstract

We employ 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.
2019
Quantum Martingale Theory and Entropy Production / Manzano, G.; Fazio, R.; Roldan, E.. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - 122:22(2019), p. 220602. [10.1103/PhysRevLett.122.220602]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/776888
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