Diffusive propagation of wave packets in a fluctuating periodic potential

Physics – Mathematical Physics

Scientific paper

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13 pages (v2: added a paragraph on the history of the problem, added some references, correct a few typos; v3 minor correction

Scientific paper

We consider the evolution of a tight binding wave packet propagating in a
fluctuating periodic potential. If the fluctuations stem from a stationary
Markov process satisfying certain technical criteria, we show that the square
amplitude of the wave packet after diffusive rescaling converges to a
superposition of solutions of a heat equation.

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