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van der Waals Universality near a Quantum Tricritical Point
P M A Mestrom1, V E Colussi1, T Secker1
1Eindhoven University of Technology, P. O. Box 513, 5600 MB Eindhoven, Netherlands.
Abstract:
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_{vdW} of the van der Waals attraction. We find that the real part of D behaves universally in this weakly interacting regime (|a|/r_{vdW}≲1) in the absence of trimer resonances. This universality originates from hard-spherelike 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 in the vicinity of a quantum tricritical point, including quantum droplets stabilized by effective three-body interactions.
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