Two-Body and Three-Body Contacts for Identical Bosons near Unitarity
Journal article, 2014

In a recent experiment with ultracold trapped Rb-85 atoms, Makotyn et al. studied a quantum-degenerate Bose gas in the unitary limit where its scattering length is infinitely large. We show that the observed momentum distributions are compatible with a universal relation that expresses the high-momentum tail in terms of the two-body contact C-2 and the three-body contact C-3. We determine the contact densities for the unitary Bose gas with number density n to be C-2 approximate to 20n(4/3) and C-3 approximate to 2n(5/3). We also show that the observed atom loss rate is compatible with that from 3-atom inelastic collisions, which gives a contribution proportional to C-3, but the loss rate is not compatible with that from 2-atom inelastic collisions, which gives a contribution proportional to C-2. We point out that the contacts C-2 and C-3 could be measured independently by using the virial theorem near and at unitarity, respectively.



D. H. Smith

E. Braaten

D. Kang

Lucas Platter

Chalmers, Fundamental Physics

Physical Review Letters

0031-9007 (ISSN) 1079-7114 (eISSN)

Vol. 112 11 Article no. 110402- 110402

Subject Categories

Physical Sciences



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