Stochastic pure states for quantum Brownian motion

Details Stochastic pure states for quantum Brownian motion Stochastic pure states for quantum Brownian motion

Apr 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005njph....7...91s&link_type=abstract

New Journal of Physics, Volume 7, Issue 1, pp. 91 (2005).

Physics

2

Scientific paper

We give a new description of quantum Brownian motion in terms of stochastic pure states. The corresponding path integral propagator allows us to establish a direct connection to the classical Langevin equation, in the Schrödinger picture. We show that in the quantum domain, one is naturally led to consider two stochastic processes driving the Brownian dynamics, one of them representing thermal fluctuations, as in the classical case. The second process reflects growing entanglement between the Brownian particle and its environment, and is therefore a truly quantum noise process. Technically, our result rests on the representation of the full propagator of the Brownian particle and its environment in a coherent state basis. For open system dynamics that may be described by a master equation, such stochastic schemes have already been proven to be efficient Monte Carlo methods. Here, we give a new stochastic scheme that covers low temperatures and strong friction, the latter limit being the case Einstein originally investigated.

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