Exact solution for a non-Markovian dissipative quantum dynamics

Details Exact solution for a non-Markovian dissipative quantum dynamics Exact solution for a non-Markovian dissipative quantum dynamics

2012-04-19

arxiv.org/abs/1204.4348v1

Physics

Quantum Physics

to appear in Phys. Rev. Lett

Scientific paper

We provide the exact analytic solution of the stochastic Schr\"odinger equation describing an 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 evolution of Gaussian wave functions.

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