Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2008-11-06
J. Stat. Mech. (2009) P02025
Physics
Condensed Matter
Statistical Mechanics
12 pages
Scientific paper
10.1088/1742-5468/2009/02/P02025
The characteristic function for the joint measurement of the changes of two commuting observables upon an external forcing of a quantum system is derived. In particular, the statistics of the internal energy, the exchanged heat and the work of a quantum system that {\it weakly} couples to its environment is determined in terms of the energy changes of the system and the environment due to the action of a classical, external force on the system. If the system and environment initially are in a canonical equilibrium, the work performed on the system is shown to satisfy the Tasaki-Crooks theorem and the Jarzynski equality.
Campisi Michele
Hänggi Peter
Talkner Peter
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