Fluctuation theorems for quantum master equations.

Massimiliano Esposito; Shaul Mukamel

doi:10.1103/physreve.73.046129

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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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Entropy Hot Temperature Models, Statistical Physics Quantum Theory Stochastic Processes Journal Article Research Support, N.I.H., Extramural Research Support, Non-U.S. Gov't Research Support, U.S. Gov't, Non-P.H.S.

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Massimiliano Esposito, Shaul Mukamel. 2006-04-24. Fluctuation theorems for quantum master equations.. https://doi.org/10.1103/physreve.73.046129

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