1210.2224 (Alexander Iomin)

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

Alexander Iomin

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.

View original: http://arxiv.org/abs/1210.2224