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

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.

References in corpus (4)

• Observation of anomalous diffusion and fractional self-similarity in one dimension
• Theory of fractional-Lévy kinetics for cold atoms diffusing in optical lattices
• Subdiffusion on a Fractal Comb
• Electrostatics in Fractal Geometry: Fractional Calculus Approach

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• Fractional diffusion on a fractal grid comb
• Investigating the interplay between mechanisms of anomalous diffusion via fractional Brownian walks on a comb-like structure
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• Ornstein-Uhlenbeck process and generalizations: particle's dynamics under comb constraints and stochastic resetting
• Fractional Schrödinger equation in gravitational optics
• Hitting and Trapping Times on Branched Structures
• Dynamics of "comb-of-comb" networks
• Biased random walk on random networks in presence of stochastic resetting: Exact results
• Asymmetric simple exclusion process on a random comb: Transport properties in the stationary state