Van der Waals universality near a quantum tricritical point

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We study the three-body scattering hypervolume $D$ of atoms whose scattering length $a$ is on the order of or smaller than the typical range $r_{\mathrm{vdW}}$ of the van der Waals attraction. We find that the real part of $D$ behaves universally in this weakly interacting regime ($|a|/r_{\mathrm{vdW}}\lesssim 1$) in the absence of trimer resonances. This universality originates from hard-sphere-like collisions that dominate elastic three-body scattering. We use this result to make quantitative predictions for the thermodynamics and elementary excitations of an atomic Bose-Einstein condensate (BEC) in the vicinity of a quantum tricritical point, including quantum droplets stabilized by effective three-body interactions.
Originele taal-2Engels
Aantal pagina's9
StatusGepubliceerd - 23 dec 2019

Bibliografische nota

9 pages, 8 figures


  • physics.atom-ph
  • cond-mat.quant-gas


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