English

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

Quantum Gases 2019-02-01 v1 Quantum Physics

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.

Keywords

Cite

@article{arxiv.1901.11122,
  title  = {Two-body and three-body contacts for three bosons in the unitary regime: Analytic expressions and limiting forms},
  author = {V. E. Colussi},
  journal= {arXiv preprint arXiv:1901.11122},
  year   = {2019}
}

Comments

11 pages, 2 figures, Atoms special issue "Few-body Physics in Ultracold Quantum Gases"