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Article Dans Une Revue New Journal of Physics Année : 2010

The equation of state of ultracold Bose and Fermi gases: a few examples

Frédéric Chevy
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C. Salomon
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Résumé

We describe a powerful method for determining the equation of state of an ultracold gas from in situ images. The method provides a measurement of the local pressure of an harmonically trapped gas and we give several applications to Bose and Fermi gases. We obtain the grand-canonical equation of state of a spin-balanced Fermi gas with resonant interactions as a function of temperature. We compare our equation of state with an equation of state measured by the Tokyo group, that reveals a significant difference in the high-temperature regime. The normal phase, at low temperature, is well described by a Landau Fermi liquid model, and we observe a clear thermodynamic signature of the superfluid transition. In a second part we apply the same procedure to Bose gases. From a single image of a quasi ideal Bose gas we determine the equation of state from the classical to the condensed regime. Finally the method is applied to a Bose gas in a 3D optical lattice in the Mott insulator regime. Our equation of state directly reveals the Mott insulator behavior and is suited to investigate finite-temperature effects.
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Dates et versions

hal-00492822 , version 1 (17-06-2010)

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Sylvain Nascimbène, Nir Navon, Frédéric Chevy, C. Salomon. The equation of state of ultracold Bose and Fermi gases: a few examples. New Journal of Physics, 2010, 12, pp.103026. ⟨hal-00492822⟩
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