Two-Body and Three-Body Contacts for Identical Bosons near Unitarity
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Smith-2014-Two-body and three-body.pdf
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Author(s)
Smith, D. Hudson
Braaten, Eric
Kang, Daekyoung
Platter, Lucas
Date Issued
March 2014
Journal
Physical Review Letters
Publisher
American Physical Society
Citation
Smith, D. Hudson, Eric Braaten, Daekyoung Kang, and Lucas Platter. “Two-Body and Three-Body Contacts for Identical Bosons Near Unitarity.” Physical Review Letters 112, no. 11 (March 2014). © 2014 American Physical Society
Version
Final published version
Abstract
In a recent experiment with ultracold trapped [superscript 85]Rb 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[subscript 2] and the three-body contact C[subscript 3]. We determine the contact densities for the unitary Bose gas with number density n to be C[subscript 2] ≈ 20n[superscript 4/3] and C[subscript 3] ≈ 2n[superscript 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[subscript 3], but the loss rate is not compatible with that from 2-atom inelastic collisions, which gives a contribution proportional to C[subscript 2]. We point out that the contacts C[subscript 2] and C[subscript 3] could be measured independently by using the virial theorem near and at unitarity, respectively.
MIT Department
Massachusetts Institute of Technology. Laboratory for Nuclear Science
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1103/PhysRevLett.112.110402
