Exact solution for a non-Markovian dissipative quantum dynamics.

  title={Exact solution for a non-Markovian dissipative quantum dynamics.},
  author={Luca Ferialdi and Angelo Bassi},
  journal={Physical review letters},
  volume={108 17},
We provide the exact analytic solution of the stochastic Schrödinger equation describing a harmonic oscillator interacting with a non-Markovian and dissipative environment. This result represents an arrival point in the study of non-Markovian dynamics via stochastic differential equations. It is also one of the few exactly solvable models for infinite-dimensional systems. We compute the Green's function; in the case of a free particle and with an exponentially correlated noise, we discuss the… 

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