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. © 2006 The American Physical Society.
Publication Source (Journal or Book title)
Physical Review A - Atomic, Molecular, and Optical Physics
Ford, G., & O'Connell, R. (2006). Anomalous diffusion in quantum Brownian motion with colored noise. Physical Review A - Atomic, Molecular, and Optical Physics, 73 (3) https://doi.org/10.1103/PhysRevA.73.032103