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arXiv · 0907.1615

Non-Markovian quantum trajectories: an exact result

Angelo Bassi·Luca Ferialdi
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Abstract

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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Angelo Bassi, Luca Ferialdi. 2009-07-30. Non-Markovian quantum trajectories: an exact result. https://arxiv.org/abs/0907.1615

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