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DY: Dynamik und Statistische Physik

DY 19: Poster II

DY 19.35: Poster

Thursday, March 20, 1997, 09:30–12:30, Z

A Stochastic Description of Quantum Brownian Motion — •J. Eisert, H.P. Breuer, and F. Petruccione — Fakult"at f"ur Physik, Universit"at Freiburg, Hermann-Herder-Str.3, D-79104 Freiburg

For the standard microscopic model [1] a stochastic description of quantum Brownian motion of a particle moving under the influence of an arbitrary potential in the Markovian regime is presented. Without referring to the usual density operator formalism, an equation of motion for the reduced probability distribution [2] is derived which governs a piecewise deterministic jump process on projective Hilbert space. From this equation of motion a numerically efficient stochastic wave function algorithm can be deduced. The quantum master equation, which can be easily extracted from the dynamics of the reduced probability distribution, turns out to preserve positivity.

[1] A. O. Caldeira and A. J. Leggett, Physica A 121, 587 (1983),

[2] H. P. Breuer and F. Petruccione, Phys. Rev. Lett. 74, 3788 (1995).