Exact solution for a non-Markovian dissipative quantum dynamics
Quantum Physics
2015-06-04 v1
Abstract
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.
Cite
@article{arxiv.1204.4348,
title = {Exact solution for a non-Markovian dissipative quantum dynamics},
author = {Luca Ferialdi and Angelo Bassi},
journal= {arXiv preprint arXiv:1204.4348},
year = {2015}
}
Comments
to appear in Phys. Rev. Lett