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Anomalous diffusion in quantum Brownian motion with colored noise

G. W. Ford·R. F. O'Connell
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Abstract

Anomalous diffusion is discussed in the context of quantum Brownian motion with colored noise. It is shown that earlier results follow simply and directly from the fluctuation-dissipation theorem. The limits on the long-time dependence of anomalous diffusion are shown to be a consequence of the second law of thermodynamics. The special case of an electron interacting with the radiation field is discussed in detail. We apply our results to wave-packet spreading.

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G. W. Ford, R. F. O'Connell. 2006-03-26. Anomalous diffusion in quantum Brownian motion with colored noise. https://doi.org/10.1103/physreva.73.032103

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