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Transient quantum fluctuation theorems and generalized measurements | B. Prasanna Venkatesh
; Gentaro Watanabe
; Peter Talkner
; | Date: |
17 Sep 2013 | Abstract: | The transient quantum fluctuation theorems of Crooks and Jarzynski restrict
and relate the statistics of work performed in forward and backward forcing
protocols. So far these theorems have been obtained under the assumption that
the work is determined by projective measurements at the end and the beginning
of each run of the protocols. We found that one can replace these projective
measurements only by special error-free generalized energy measurements with
pairs of tailored, protocol-dependent post-measurement states that satisfy
detailed balance-like relations. For other generalized measurements, the Crooks
relation is typically not satisfied. For the validity of the Jarzynski
equality, it is sufficient that the measurements are error-free and the
post-measurement states form a complete orthonormal set of elements in the
Hilbert space of the considered system. We illustrate our results by the
example of a two-level system for different generalized measurements. | Source: | arXiv, 1309.4139 | Services: | Forum | Review | PDF | Favorites |
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