Density correlations in ultracold atomic Fermi gases
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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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BELZIG, 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: 10.1063/1.2036873BibTex
@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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