A posterior stochastic equation for quantum Brownian motion

Esteban Calzetta, Albert Roura, Enric Verdaguer

Walter T. Strunz

Alexander E. Kobryn, Tsuyoshi Hayashi, Toshihico Arimitsu

Dynamics of quantum systems which are perturbed by linear coupling to the reservoir stochastically can be studied in terms of quantum stochastic differential equations (for example, quantum stochastic Liouville equation and quantum Langevin equation). To work it out one needs definition of quantum Brownian motion. Since till very recent times only its boson version has been known, in present paper we demonstrate definition which makes possible consideration also for fermion Brownian motion.

Aniello Lampo, Miguel Ángel García March, Maciej Lewenstein

Alexander E. Kobryn, Tsuyoshi Hayashi, Toshihico Arimitsu

Dynamics of quantum systems which are stochastically perturbed by linear coupling to the reservoir can be studied in terms of quantum stochastic differential equations (for example, quantum stochastic Liouville equation and quantum Langevin equation).In order to work it out one needs to define the quantum Brownian motion.As far as only its boson version has been known until recently, in the present paper we present the definition which makes it possible to consider the fermion Brownian motion as well.

R.F Roose, R. Dagonnier