Publikation:

Density correlations in ultracold atomic Fermi gases

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PhysRevA_75_063611.pdf
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2007

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Schroll, Christian
Bruder, Christoph

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http://nbn-resolving.de/urn:nbn:de:bsz:352-opus-32293
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https://doi.org/10.1063/1.2036873
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Attribution-NonCommercial-NoDerivs 2.0 Generic

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Open Access Green

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Physical Review. 2007, 75, pp. 1-5. ISSN 1050-2947. eISSN 1094-1622. Available under: doi: 10.1063/1.2036873

Zusammenfassung

We investigate density fluctuations in a coherent ensemble of interacting fermionic atoms. Adapting the concept of full counting statistics, well known from quantum optics and mesoscopic electron transport, we study second-order as well as higher-order correlators of density fluctuations. Using the mean-field BCS state to describe the whole interval between the BCS limit and the Bose-Einstein condensate (BEC) limit, we obtain an exact expression for the cumulant-generating function of the density fluctuations of an atomic cloud. In the two-dimensional case, we obtain a closed analytical expression. Poissonian fluctuations of a molecular condensate on the BEC side are strongly suppressed on the BCS side. The size of the fluctuations in the BCS limit is a direct measure of the pairing potential. We also discuss the BEC-BCS crossover of the third cumulant and the temperature dependence of the second cumulant.

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530 Physik

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ISO 690BELZIG, Wolfgang, Christian SCHROLL, Christoph BRUDER, 2007. Density correlations in ultracold atomic Fermi gases. In: Physical Review. 2007, 75, pp. 1-5. ISSN 1050-2947. eISSN 1094-1622. Available under: doi: 10.1063/1.2036873
BibTex
@article{Belzig2007Densi-4998,
  year={2007},
  doi={10.1063/1.2036873},
  title={Density correlations in ultracold atomic Fermi gases},
  volume={75},
  issn={1050-2947},
  journal={Physical Review},
  pages={1--5},
  author={Belzig, Wolfgang and Schroll, Christian and Bruder, Christoph},
  note={Article Number: 63611}
}
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