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

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arxiv 1210.2224 v1 pith:R4J6ZSYM submitted 2012-10-08 cond-mat.stat-mech cond-mat.dis-nnquant-ph

classification cond-mat.stat-mechcond-mat.dis-nnquant-ph
keywords combanomalousatomsdiffusionfractalphystextbfanalysis
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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 L\'evy flights of atoms.

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