Collapse of triaxial bright solitons in atomic Bose-Einstein condensates

TL;DR

This paper investigates how anisotropic transverse trapping affects the collapse threshold of triaxial bright solitons in attractive Bose-Einstein condensates by numerically solving the 3D Gross-Pitaevskii equation.

Contribution

It provides a detailed numerical analysis of the collapse behavior considering transverse trap anisotropy, highlighting differences from previous theoretical predictions.

Findings

Transverse trap anisotropy significantly influences collapse thresholds.

Numerical results differ from earlier predictions at large anisotropies.

The study enhances understanding of stability conditions for bright solitons.

Abstract

We study triaxial bright solitons made of attractive Bose-condensed atoms characterized by the absence of confinement in the longitudinal axial direction but trapped by an anisotropic harmonic potential in the transverse plane. By numerically solving the three-dimensional Gross-Pitaevskii equation we investigate the effect of the transverse trap anisotropy on the critical interaction strength above which there is the collapse of the condensate. The comparison with previous predictions [Phys. Rev. A {\bf 66}, 043619 (2002)] shows significant differences for large anisotropies.