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Efimov physics beyond universality

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  • R. Schmidt
  • S.P. Rath
  • W. Zwerger

Abstract

We provide an exact solution of the Efimov spectrum in ultracold gases within the standard two-channel model for Feshbach resonances. It is shown that the finite range in the Feshbach coupling makes the introduction of an adjustable three-body parameter obsolete. The solution explains the empirical relation between the scattering length a − where the first Efimov state appears at the atom threshold and the van der Waals length l vdw for open-channel dominated resonances. There is a continuous crossover to the closed-channel dominated limit, where the scale in the energy level diagram as a function of the inverse scattering length 1 / a is set by the intrinsic length r ⋆ associated with the Feshbach coupling. Our results provide a number of predictions for the deviations from universal scaling relations between energies and scattering lengths that can be tested in future experiments. Copyright EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2012

Suggested Citation

  • R. Schmidt & S.P. Rath & W. Zwerger, 2012. "Efimov physics beyond universality," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 85(11), pages 1-6, November.
    • Handle: RePEc:spr:eurphb:v:85:y:2012:i:11:p:1-6:10.1140/epjb/e2012-30841-3
    DOI: 10.1140/epjb/e2012-30841-3
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    Solid State and Materials;

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