Decoherence and Initial Correlations in Quantum Brownian Motion

Details Decoherence and Initial Correlations in Quantum Brownian Motion Decoherence and Initial Correlations in Quantum Brownian Motion

1996-12-12

arxiv.org/abs/quant-ph/9612036v1

Physics

Quantum Physics

15 pages, RevTex, 5 figures included. Submitted to Phys. Rev. A

Scientific paper

10.1103/PhysRevA.55.4070

We analyze the evolution of a quantum Brownian particle starting from an initial state that contains correlations between this system and its environment. Using a path integral approach, we obtain a master equation for the reduced density matrix of the system finding relatively simple expressions for its time dependent coefficients. We examine the evolution of delocalized initial states (Schr\"odinger's cats) investigating the effectiveness of the decoherence process. Analytic results are obtained for an ohmic environment (Drude's model) at zero temperature.

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