Fluctuation theorems in driven open quantum systems
Abstract
The characteristic function for the joint measurement of the changes of two or more 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 weakly couples to its environment are 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 the 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.
- Publication:
-
Journal of Statistical Mechanics: Theory and Experiment
- Pub Date:
- February 2009
- DOI:
- 10.1088/1742-5468/2009/02/P02025
- arXiv:
- arXiv:0811.0973
- Bibcode:
- 2009JSMTE..02..025T
- Keywords:
-
- Condensed Matter - Statistical Mechanics;
- Quantum Physics
- E-Print:
- 12 pages