Large-deviations for spatial diffusion of cold atoms

Abstract

Large-deviations theory deals with tails of probability distributions and the rare events of random processes, for example spreading packets of particles. Mathematically, it concerns the exponential fall-of of the density of thin-tailed systems. Here we investigate the spatial density $P_t(x)$ of laser cooled atoms, where at intermediate length scales the shape is fat-tailed. We focus on the rare events beyond this range, which dominate important statistical properties of the system. Through a novel friction mechanism induced by the laser fields, the density is explored with the recently proposed nonnormalized infinite-covariant density approach. The small and large fluctuations give rise to a bi-fractal nature of the spreading packet.

Paper has 4 pages (Supplementary material below includes 5 pages)

References in corpus (5)

• The large deviation approach to statistical mechanics
• Lévy walks
• Large Deviations in Single File Diffusion
• Infinite densities for Lévy walks
• Anomalous transmission and drifts in one-dimensional Levy structures

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