Effects of three-body collisions in a two-mode Bose-Einstein condenstate

TL;DR

This paper analytically investigates how three-body collisions influence the physical properties and dynamics of a two-mode Bose-Einstein condensate, revealing observable effects and conditions that inhibit population collapse.

Contribution

It provides an exact analytical solution for a model including two- and three-body interactions in a two-mode BEC, highlighting the impact of three-body collisions.

Findings

Three-body interactions affect the ground state probability distribution.

Three-body interactions influence the dynamics of relative population.

Under certain conditions, three-body interactions inhibit population collapse.

Abstract

We study the effects of three-body collisions in the basic physical properties of a two-mode Bose-Einstein condensate. By finding the exact analytical solution of a model which includes two-body and three-body elastic and mode-exchange collisions, we show analytically that three-body interactions produce observable effects in the probability distribution of the ground state and the dynamics of the relative population. In particular, we find that three-body interactions under certain circumstances inhibit collapse of the relative population.