Stability of the two-dimensional Bose gases in the resonant regime

TL;DR

This paper investigates the stability of two-dimensional Bose gases in the resonant regime, demonstrating stability at low densities and estimating the three-body recombination rate that limits condensate lifetime.

Contribution

It provides the first analysis of stability and recombination rates for 2D Bose gases in the resonant regime, highlighting differences from 3D systems.

Findings

2D Bose gases remain stable at low densities in the resonant regime

The three-body recombination rate is evaluated, setting a limit on condensate lifetime

Stability persists despite high scattering lengths in two dimensions

Abstract

We consider a two-dimensional Bose gas formed in a planar atomic trap in conditions where the two-dimensional scattering length exceeds all other microscopic length scales in the system and, accordingly, the gas parameter assumes relatively high values. We show that, unlike in the three-dimensional case, for sufficiently low areal densities the two-dimensional gas remains stable against collapse even in the resonant regime. Furthermore, we evaluate the three-body recombination rate that sets the upper limit for the life-time of two-dimensional resonant atomic condensate.