Collapse of a Bose gas: kinetic approach

TL;DR

This paper presents an analytical kinetic approach within the Hartree-Fock approximation to study how the critical particle number for Bose gas collapse varies with temperature, aligning with scaling theory results.

Contribution

It introduces a simple kinetic method within Hartree-Fock to analyze temperature effects on Bose gas collapse, confirming previous scaling theory findings.

Findings

Temperature dependence matches scaling theory predictions

Analytical approach simplifies understanding of Bose gas collapse

Provides insights into stability conditions of trapped Bose gases

Abstract

We have analytically explored temperature dependence of critical number of particles for the collapse of a harmonically trapped attractively interacting Bose gas below the condensation point by introducing a kinetic approach within the Hartree-Fock approximation. The temperature dependence obtained by this easy approach is consisted with that obtained from the scaling theory.