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arXiv · 1101.2854

Universal Relations for Identical Bosons from 3-Body Physics

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.

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Eric Braaten, Daekyoung Kang, Lucas Platter. 2011-05-01. Universal Relations for Identical Bosons from 3-Body Physics. https://doi.org/10.1103/physrevlett.106.153005

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