A Pathwise Ergodic Theorem for Quantum Trajectories

Details A Pathwise Ergodic Theorem for Quantum Trajectories A Pathwise Ergodic Theorem for Quantum Trajectories

2004-06-29

arxiv.org/abs/quant-ph/0406213v1

Physics

Quantum Physics

8 pages

Scientific paper

10.1088/0305-4470/37/49/008

If the time evolution of an open quantum system approaches equilibrium in the
time mean, then on any single trajectory of any of its unravelings 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.

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