Transport and the first passage time problem with application to cold atoms in optical traps

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Abstract

Measurements of spatial diffusion of cold atoms in optical lattices have revealed anomalous super-diffusion, which is controlled by the depth of the optical lattice. We use first passage time statistics to derive the diffusion front of the atoms. In particular, the distributions of areas swept under the first passage curve till its first arrival, and of areas under the Bessel excursion are shown to be powerful tools in the analysis of the atomic cloud. A rather general relation between first passage time statistics and diffusivity is discussed, showing that first passage time analysis is a useful tool in the calculation of transport coefficients. A brief introduction to the semi-classical description of Sisyphus cooling is provided which yields a rich phase diagram for the dynamics.

Original languageEnglish
Title of host publicationFirst-Passage Phenomena and Their Applications
PublisherWorld Scientific Publishing Co.
Pages502-531
Number of pages30
ISBN (Electronic)9789814590297
ISBN (Print)9789814590280
DOIs
StatePublished - 1 Jan 2014

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy
  • General Mathematics

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