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Diffusion of Wave Packets in a Markov Random Potential

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Abstract

We consider the evolution of a tight binding wave packet propagating in a time dependent potential. If the potential evolves according to a stationary Markov process, we show that the square amplitude of the wave packet converges, after diffusive rescaling, to a solution of a heat equation.

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Authors and Affiliations

  1. Michigan State University, East Lansing, MI, 48823, USA

    Yang Kang & Jeffrey Schenker

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  1. Yang Kang
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  2. Jeffrey Schenker
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Correspondence to Jeffrey Schenker.

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Dedicated to Jürg Fröhlich and Tom Spencer on the occasions of their 60th birthdays.

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Kang, Y., Schenker, J. Diffusion of Wave Packets in a Markov Random Potential. J Stat Phys 134, 1005–1022 (2009). https://doi.org/10.1007/s10955-009-9714-4

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  • DOI: https://doi.org/10.1007/s10955-009-9714-4

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