Steady‐State control of open Quantum Brownian Motion

Abstract

Open Quantum Brownian motion describes a Quantum Brownian particle with an additional internal degree of freedom.The quantum master equation for a free Open Quantum Brownian walker with two‐dimensional internal degree of freedom interacting decoherently with the dissipative environment is derived. Using the analytical solution for the moments of the position distribution of the Brownian walker, one finds that the steady state average position of the walker can be controlled by the strength of an external classical driving field.