Stability and Decay Rates of Non-Isotropic Attractive Bose-Einstein Condensates

TL;DR

This paper analyzes the stability and decay mechanisms of non-isotropic attractive Bose-Einstein condensates using numerical methods, revealing how anisotropy influences decay rates and spontaneous isotropization.

Contribution

It introduces a detailed numerical study of non-isotropic condensates, including bifurcation diagrams and decay rate analysis, highlighting the effects of anisotropy and isotropization.

Findings

Anisotropy affects bifurcation structure and decay rates.

Spontaneous isotropization occurs near critical points.

Decay mechanisms include quantum tunneling and inelastic collisions.

Abstract

Non-Isotropic Attractive Bose-Einstein condensates are investigated with Newton and inverse Arnoldi methods. The stationary solutions of the Gross-Pitaevskii equation and their linear stability are computed. Bifurcation diagrams are calculated and used to find the condensate decay rates corresponding to macroscopic quantum tunneling, two-three body inelastic collisions and thermally induced collapse. Isotropic and non-isotropic condensates are compared. The effect of anisotropy on the bifurcation diagram and the decay rates is discussed. Spontaneous isotropization of the condensates is found to occur. The influence of isotropization on the decay rates is characterized near the critical point.