Non-Markovian quantum trajectories: an exact result

Details Non-Markovian quantum trajectories: an exact result Non-Markovian quantum trajectories: an exact result

2009-07-09

arxiv.org/abs/0907.1615v2

Phys. Rev. Lett. 103, 050403 (2009)

Physics

Quantum Physics

4 pages, RevTeX. Minor revisions

Scientific paper

We analyze the non-Markovian stochastic Schroedinger equation describing a particle subject to spontaneous collapses in space (in the language of collapse models), or subject to a continuous measurement of its position (in the language of continuous quantum measurement). For the first time, we give the explicit general solution for the free particle case (H = p^2/2m), and discuss the main properties. We analyze the case of an exponential correlation function for the noise, giving a quantitative description of the dynamics and of its dependence on the correlation time.

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