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Two-Body and Three-Body Contacts for Three Bosons in the Unitary Regime: Analytic Expressions and Limiting Forms

Department of Applied Physics, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands
Atoms 2019, 7(1), 19; https://doi.org/10.3390/atoms7010019
Received: 19 December 2018 / Revised: 30 January 2019 / Accepted: 2 February 2019 / Published: 5 February 2019
(This article belongs to the Special Issue Few-body Physics in Ultracold Quantum Gases)
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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 them with existing limiting expressions and previous numerical studies. View Full-Text
Keywords: efimov effect; strongly correlated systems; ultracold gases; non-perturbative methods; Tan contact efimov effect; strongly correlated systems; ultracold gases; non-perturbative methods; Tan contact
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Colussi, V.E. Two-Body and Three-Body Contacts for Three Bosons in the Unitary Regime: Analytic Expressions and Limiting Forms. Atoms 2019, 7, 19.

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