Universal spectra of coherent atoms in a recurrent random walk

R. Pugatch, O. Firstenberg, M. Shuker, N. Davidson

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Abstract

We report an experiment that directly measures the Laplace transform of the recurrence probability in one dimension using electromagnetically induced transparency (EIT) of coherent atoms diffusing in a vapor cell filled with buffer gas. We find a regime where the limiting form of the complex EIT spectrum is universal and only depends on the effective dimensionality in which the random recurrence takes place. In an effective one-dimensional diffusion setting, the measured spectrum exhibits power-law dependence over two decades in the frequency domain with a critical exponent of 0.56 close to the expected value 0.5.

Original languageEnglish
Article number150602
JournalPhysical Review Letters
Volume102
Issue number15
DOIs
StatePublished - 15 Apr 2009
Externally publishedYes

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