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Fluctuation theorems for quantum master equations

Massimiliano Esposito·Shaul Mukamel
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Abstract

A quantum fluctuation theorem for a driven quantum subsystem interacting with its environment is derived based solely on the assumption that its reduced density matrix obeys a closed evolution equation i.e. a quantum master equation (QME). Quantum trajectories and their associated entropy, heat and work appear naturally by transforming the QME to a time dependent Liouville space basis that diagonalizes the instantaneous reduced density matrix of the subsystem. A quantum integral fluctuation theorem, a steady state fluctuation theorem and the Jarzynski relation are derived in a similar way as for classical stochastic dynamics.

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Massimiliano Esposito, Shaul Mukamel. 2006-02-28. Fluctuation theorems for quantum master equations. https://doi.org/10.1103/physreve.73.046129

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