Exact wave-packet decoherence dynamics in a discrete spectrum environment

Details Exact wave-packet decoherence dynamics in a discrete spectrum environment Exact wave-packet decoherence dynamics in a discrete spectrum environment

2007-06-18

arxiv.org/abs/0706.2536v2

J. Phys. B: At. Mol. Opt. Phys. 41, 245501 (2008)

Physics

Quantum Physics

12 pages, 2 figures

Scientific paper

10.1088/0953-4075/41/24/245501

We find an exact analytical solution of the reduced density matrix from the Feynman-Vernon influence functional theory for a wave packet influenced by an environment containing a few discrete modes. We obtain two intrinsic energy scales relating to the time scales of the system and the environment. Different relationship between these two scales alters the overall form of the solution of the system. We also introduce a decoherence measure for a single wave packet which is defined as the ratio of Schr\"odinger uncertainty over the delocalization extension of the wave packet and characterizes the time-evolution behavior of the off-diagonal reduced density matrix element. We utilize the exact solution and the docherence measure to study the wave packet decoherence dynamics. We further demonstrate how the dynamical diffusion of the wave packet leads to non-Markovian decoherence in such a microscopic environment.

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