Dynamics of Dissipative Quantum Systems--from Path Integrals to Master Equations

TL;DR

This paper examines the connection between path integral methods and master equations in describing dissipative quantum systems, clarifying when and how Markovian master equations can be derived from exact path integrals.

Contribution

It provides conditions and limitations for deriving Markovian master equations from exact path integral formulations of dissipative quantum dynamics.

Findings

Markovian master equations can be rigorously derived under specific conditions

Path integrals offer an exact framework for non-equilibrium quantum dynamics

The paper clarifies the applicability and limitations of master equations in quantum dissipation

Abstract

The path integral approach offers not only an exact expression for the non- equilibrium dynamics of dissipative quantum systems, but is also a convenient starting point for perturbative treatments. An alternative way to explore the influence of friction in the quantum realm is based on master equations which require, however, in one or the other aspect approximations. Here it is discussed under which conditions and limitations Markovian master equations can be derived from exact path integrals thus providing a firm basis for their applicability.