A Unified Approach to the Quantum Master and Langevin Equations

Abstract

The quantum Brownian motions (QBM) were introduced in quantum-optics in the early 1960’s as good approximations of the electro-magnetic (EM) field in certain limiting situations such as the singular coupling, the van Hove limit (weak coupling limit), the low density limit,… (cf. Haken [16], Lax [18], von Waldenfels [22] and also [8a] for a survey). The goal of these approximations was to explain dissipation in quantum theory.KeywordsStochastic Differential EquationLangevin EquationRandom ForceWeak Coupling LimitRotate Wave ApproximationThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.