Dissipative dynamics from a stochastic perspective

Abstract

The stochastic description of dissipative dynamics for both quantum and classical systems is revisited by using Itô calculus. A procedure to work out the master equation for linear systems based on this scheme is outlined. For the Caldeira–Leggett model it is shown that the master equation describing pure dephasing is Markovian-like and the solution is given. The Caldeira–Leggett master equation for Ohmic dissipation, which is valid at high temperatures, is derived.