Quantum work relations and response theory

Abstract

A universal quantum work relation is proved for isolated time-dependent Hamiltonian systems in a magnetic field as the consequence of microreversibility. This relation involves a functional of an arbitrary observable. The quantum Jarzynski equality is recovered in the case this observable vanishes. The Green-Kubo formula and the Casimir-Onsager reciprocity relations are deduced thereof in the linear response regime.

References in corpus (1)

• Fluctuation theorems: Work is not an observable

Cited by in corpus (4)

• Fluctuation Theorem for Arbitrary Open Quantum Systems
• Thermodynamics and Fluctuation Theorems for a Strongly Coupled Open Quantum System: An Exactly Solvable Case
• On the Quantum Jarzynski Identity
• Calculation of semiclassical free energy differences along non-equilibrium classical trajectories