Stability and instability properties of rotating Bose-Einstein condensates

TL;DR

This paper investigates the stability and instability characteristics of rotating Bose-Einstein condensates, highlighting differences between symmetric and asymmetric trapping potentials in their mean-field dynamics.

Contribution

It provides a detailed analysis of stability properties for BECs in rotating traps, emphasizing the impact of trap symmetry on their dynamical behavior.

Findings

Stability properties depend on trap symmetry.

Asymmetric traps exhibit different instability mechanisms.

Symmetric traps show distinct stability regimes.

Abstract

We consider the mean-field dynamics of Bose-Einstein condensates in rotating harmonic traps and establish several stability and instability properties for the corresponding solution. We particularly emphasize the difference between the situation in which the trap is symmetric with respect to the rotation axis and the one where this is not the case.