Talkner, Peter, and Peter Hänggi. “The Tasaki–Crooks quantum fluctuation theorem.” Journal of Physics A: Mathematical and Theoretical 40, no. 26 (2007): F569.
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Starting out from the recently established quantum correlation function expression of the characteristic function for the work performed by a force protocol on the system in Talkner et al (2007 Phys. Rev. E 75 050102 (Preprint cond-mat/0703213)) the quantum version of the Crooks fluctuation theorem is shown to emerge almost immediately by the mere application of an inverse Fourier transformation.