Two-body and three-body contacts for three bosons in the unitary regime: Analytic expressions and limiting forms

V. E. Colussi

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arXiv · 1901.11122

Two-body and three-body contacts for three bosons in the unitary regime: Analytic expressions and limiting forms

V. E. Colussi

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Abstract

The two and three-body contacts are central to a set of univeral relations between microscopic few-body physics within an ultracold Bose gas and its thermodynamical properties. They may also be defined in trapped few-particle systems, which is the subject of this work. In this work, we focus on the unitary three-body problem in a trap, where interactions are as strong as allowed by quantum mechanics. We derive analytic results for the two and three-body contacts in this regime and compare with existing limiting expressions and previous numerical studies.

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V. E. Colussi. 2019-01-30. Two-body and three-body contacts for three bosons in the unitary regime: Analytic expressions and limiting forms. https://arxiv.org/abs/1901.11122

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