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arXiv · 1210.2224

Superdiffusive comb: Application to experimental observation of anomalous diffusion in one dimension

Alexander Iomin
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Abstract

A possible mechanism of superdiffusion of ultra-cold atoms in a one-dimensional polarization optical lattice, observed experimentally in [Phys. Rev. Lett. \textbf{108}, 093002 (2012)], is suggested. The analysis is based on a consideration of anomalous diffusion in a fractal comb [Phys. Rev. E \textbf{83}, 052106 (2011)]. It is shown that the transport exponent is determined by the fractal geometry of the comb due to recoil distributions resulting in Lévy flights of atoms.

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Alexander Iomin. 2012-10-08. Superdiffusive comb: Application to experimental observation of anomalous diffusion in one dimension. https://doi.org/10.1103/physreve.86.032101

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