The quantum and classical dynamics in a two-dimensional (2D) periodic potential influenced by a constant force is discussed and compared. Classically, the dynamics is chaotic. A branched flow of the particles similar but more structured than the coherent branched flow in a 2D electron gas is observed. In the classical case, the formation of separate decay channels is explained by dynamical trapping. The quantum dynamics closely follows the classical one.
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Glück et al. (2002) studied this question.
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