Quantum work relations and response theory.

@article{Andrieux2008QuantumWR,
  title={Quantum work relations and response theory.},
  author={David Andrieux and Pierre Gaspard},
  journal={Physical review letters},
  year={2008},
  volume={100 23},
  pages={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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