We provide the exact analytic solution of the stochastic Schroedinger 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 evolution of Gaussian wave functions.

Exact solution for a non-Markovian dissipative quantum dynamics

L. Ferialdi;BASSI, ANGELO
2012-01-01

Abstract

We provide the exact analytic solution of the stochastic Schroedinger 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 evolution of Gaussian wave functions.
http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.108.170404
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11368/2629856
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