English

Quantum work relations and response theory

Statistical Mechanics 2009-11-13 v1

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.

Keywords

Cite

@article{arxiv.0805.3770,
  title  = {Quantum work relations and response theory},
  author = {David Andrieux and Pierre Gaspard},
  journal= {arXiv preprint arXiv:0805.3770},
  year   = {2009}
}
R2 v1 2026-06-21T10:43:49.561Z