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Communication Dans Un Congrès Année : 2016

Phase shift and Beth-Uhlenbeck formula for an atomic gas in a harmonic waveguide

Résumé

In a non-degenerated gas with low density and high temperature, the fugacity is a small parameter. The equation of state can be thus efficiently approached by the virial expansion. Since the n-order virial coefficient is known from the solution of the n-body problem, the virial expansion built a bridge between thermodynamics and few-body physics. In this talk we study the 2nd order virial coefficient for a gas trapped into a 1D or a 2D harmonic waveguide (shape of a cigar or a pancake). Interactions are modeled by a quantitative two-channel model that include the coupling between atoms and Feshbach molecules. We defined in this context the scattering phase-shift and we derive from a diagrammatic approach a Beth-Uhlenbeck formula that takes into account the presence of the molecules and the external waveguide.
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Dates et versions

hal-01355490 , version 1 (23-08-2016)

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  • HAL Id : hal-01355490 , version 1

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Tom Kristensen, Xavier Leyronas, Ludovic Pricoupenko. Phase shift and Beth-Uhlenbeck formula for an atomic gas in a harmonic waveguide. 15eme journée de la matière consensée, Société Française de Physique, Aug 2016, Bordeaux, France. ⟨hal-01355490⟩
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