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arXiv:1101.2854 (cond-mat)
[Submitted on 14 Jan 2011 (v1), last revised 1 May 2011 (this version, v2)]

Title:Universal Relations for Identical Bosons from 3-Body Physics

Authors:Eric Braaten, Daekyoung Kang, Lucas Platter
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Abstract:Systems consisting of identical bosons with a large scattering length satisfy universal relations determined by 2-body physics that are similar to those for fermions with two spin states. They require the momentum distribution to have a large-momentum 1/k^4 tail and the radio-frequency transition rate to have a high-frequency 1/omega^{3/2} tail, both of which are proportional to the 2-body contact. Identical bosons also satisfy additional universal relations that are determined by 3-body physics and involve the 3-body contact, which measures the probability of 3 particles being very close together. The coefficients of the 3-body contact in the 1/k^5 tail of the momentum distribution and in the 1/omega^2 tail of the radio-frequency transition rate are log-periodic functions of k and omega that depend on the Efimov parameter.
Comments: 4 pages, references updated
Subjects: Quantum Gases (cond-mat.quant-gas); Nuclear Theory (nucl-th)
Report number: INT-PUB-11-016
Cite as: arXiv:1101.2854 [cond-mat.quant-gas]
  (or arXiv:1101.2854v2 [cond-mat.quant-gas] for this version)
  https://doi.org/10.48550/arXiv.1101.2854
Journal reference: Phys. Rev. Lett. 106:153005,2011
Related DOI: https://doi.org/10.1103/PhysRevLett.106.153005

Submission history

From: Lucas Platter [view email]
[v1] Fri, 14 Jan 2011 16:27:06 UTC (10 KB)
[v2] Sun, 1 May 2011 16:32:17 UTC (10 KB)
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