Fluctuation Relations for Quantum Markovian Dynamical System
Raphael Chetrite, Kirone Mallick
TL;DR
This paper derives fluctuation relations for open quantum systems described by Lindblad equations, generalizing classical results and connecting to quantum fluctuation-dissipation theorems.
Contribution
It introduces a comprehensive set of fluctuation relations for nonequilibrium quantum systems, extending classical fluctuation theorems to the quantum Markovian context.
Findings
Quantum Jarzynski and Crooks relations derived
Fluctuation-dissipation theorem established for stationary states
Reduces to Callen-Welton-Kubo formula for closed systems
Abstract
We derive a general set of fluctuation relations for a nonequilibrium open quantum system described by a Lindblad master equation. In the special case of conservative Hamiltonian dynamics, these identities allow us to retrieve quantum versions of Jarzynski and Crooks relations. In the linear response regime, these fluctuation relations yield a fluctuation-dissipation theorem (FDT) valid for a stationary state arbitrarily far from equilibrium. For a closed system, this FDT reduces to the celebrated Callen-Welton-Kubo formula.
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Taxonomy
TopicsAdvanced Thermodynamics and Statistical Mechanics · Quantum Mechanics and Applications · Quantum Information and Cryptography