Derivation of quantum work equalities using quantum Feynman-Kac formula
arXiv:1201.1557 · doi:10.1103/PhysRevE.86.010103
Abstract
On the basis of a quantum mechanical analogue of the famous Feynman-Kac formula and the Kolmogorov picture, we present a novel method to derive nonequilibrium work equalities for isolated quantum systems, which include the Jarzynski equality and Bochkov-Kuzovlev equality. Compared with previous methods in the literature, our method shows higher similarity in form to that deriving the classical fluctuation relations, which would give important insight when exploring new quantum fluctuation relations.
5 pages
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- Quantum Fluctuation Relations for the Lindblad Master Equation
- The quantum-classical correspondence principle for work distributions
- Verification of the Quantum Nonequilibrium Work Relation in the Presence of Decoherence
- Entropy production and information fluctuations along quantum trajectories
- Quantum Trajectory Thermodynamics with Discrete Feedback Control
- Characteristic Functions Based on Quantum Jump Trajectory
- Quantum fluctuation theorems and power measurements
- Equivalence of two Bochkov-Kuzovlev equalities in quantum two-level systems
- Calculating work in adiabatic two-level quantum Markovian master equations: A characteristic function method
- Fluctuation theorems for non-Markovian quantum processes
- Quantum corrections of work statistics in closed quantum systems
- Calculating work in weakly driven quantum master equations: backward and forward equations
- Verifying detailed fluctuation relations for discrete feedback-controlled quantum dynamics
- Nonequilibrium work equalities in isolated quantum systems
- Path integral approach to the calculation of the characteristic function of work
- On a tilted Liouville-master equation of open quantum systems