Anomalous diffusion in quantum Brownian motion with colored noise

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.

Cited by in corpus (2)

• Measured quantum probability distribution functions for Brownian motion
• Exact wave-packet decoherence dynamics in a discrete spectrum environment