Nonlinear Dynamics of Ultra-Cold Gas: Collapse of Bose Gas With Attractive Interaction

TL;DR

This paper analyzes the nonlinear dynamics leading to collapse in an attractive Bose gas using solutions to the nonlinear Schrödinger equation, highlighting the conditions and nature of such singularities.

Contribution

It provides analytical solutions and insights into the collapse phenomena of Bose gases with attractive interactions, extending understanding of nonlinear quantum fluid dynamics.

Findings

Collapse solutions identified for attractive Bose gases

Conditions under which collapse occurs analyzed

Insights into singularity formation in quantum fluids

Abstract

Solutions for the Nonlinear Schrodinger equation for collapsing Bose gas with attraction. This is a copy of the paper published in 1992 in Proceedings of NATO Advanced Research workshop on Singularities in Fluids, Plasmas and Optics (Heraklion, Greece) edited by R.E. Caflisch and G.C. Papanicolaou (Kluwer Academic).