Diffusive propagation of wave packets in a fluctuating periodic potential
classification
🧮 math-ph
math.MP
keywords
wavediffusivefluctuatingpacketperiodicpotentialamplitudebinding
read the original abstract
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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