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Large Fluctuations for Spatial Diffusion of Cold Atoms. | LitMetric

Large Fluctuations for Spatial Diffusion of Cold Atoms.

Phys Rev Lett

Department of Physics, Institute of Nanotechnology and Advanced Materials, Bar-Ilan University, Ramat-Gan 52900, Israel.

Published: June 2017

AI Article Synopsis

  • This study introduces a new method to analyze large fluctuations in systems with heavy-tailed distributions, where traditional large-deviations theory isn’t applicable.
  • It focuses on the spatial density of laser-cooled atoms, particularly looking at rare events that significantly impact the system's statistical properties.
  • The research employs a unique friction mechanism from laser fields and unveils a bifractal nature in the spreading process, providing new relationships that broaden the theory to systems with multifractal characteristics.

Article Abstract

We use a new approach to study the large fluctuations of a heavy-tailed system, where the standard large-deviations principle does not apply. 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 falloff 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 non-normalized infinite-covariant density approach. The small and large fluctuations give rise to a bifractal nature of the spreading packet. We derive general relations which extend our theory to a class of systems with multifractal moments.

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Source
http://dx.doi.org/10.1103/PhysRevLett.118.260601DOI Listing

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