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Non-Markovian quantum trajectories: an exact result

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arxiv 0907.1615 v2 pith:ICDZWNG3 submitted 2009-07-09 quant-ph

Angelo Bassi , Luca Ferialdi This is my paper · ORCID
classification quant-ph
keywords analyzecasecontinuouscorrelationlanguagemeasurementnon-markovianparticle
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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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  1. Non-Markovian Poissonian Spontaneous Collapse Models

    quant-ph 2026-07 conditional novelty 6.0 of 10

    A non-Markovian PSL model with finite interaction time τ_C yields a long-time CPTP map Φ_t matching non-Markovian CSL, a TCL master equation, and late-time flash intensities.

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