B Kümmerer and H Maassen 2004 J. Phys. A: Math. Gen. 37 11889 doi:10.1088/0305-4470/37/49/008
A pathwise ergodic theorem for quantum trajectories
B Kümmerer1 and H Maassen2
Show affiliationsIf the time evolution of an open quantum system approaches equilibrium in the time mean, then on any single trajectory of any of its unravellings the time-averaged state approaches the same equilibrium state with probability 1. In the case of multiple equilibrium states, the quantum trajectory converges in the mean to a random choice from these states.
- PACS
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05.40.-a Fluctuation phenomena, random processes, noise, and Brownian motion
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- Dates
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Issue 49 (10 December 2004)
Received 25 June 2004, in final form 18 October 2004
Published 24 November 2004
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A pathwise ergodic theorem for quantum trajectories
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