Quantum work relations and response theory

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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Scientific paper

10.1103/PhysRevLett.100.230404

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.

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