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The Tasaki-Crooks quantum fluctuation theorem
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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 [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.
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Fluctuation theorems for thermally isolated driven quantum systems: nonadiabaticity, excess work and strong inequalities
Detailed and integral fluctuation theorems for X and Y identify their averages with nonadiabaticity A and excess work W_ex, implying W_th_ex ≥ 0 and relating A to cyclic work absorption.
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