Magnetic field induced dynamical instabilities in an anti-ferromagnetic spin-1 Bose-Einstein condensate

TL;DR

This paper theoretically studies magnetic field-induced dynamical instabilities in an anti-ferromagnetic spin-1 Bose-Einstein condensate, revealing pattern transitions and stability changes that can be experimentally observed.

Contribution

It identifies and characterizes four types of dynamical instability and the transition between them in a spin-1 BEC under magnetic fields, using coupled-mode theory and numerical analysis.

Findings

Identification of four dynamical instability types

Discovery of a pattern transition at a critical magnetic field

Potential for experimental detection in $^{23}$Na condensates

Abstract

We theoretically investigate four types of dynamical instability, in particular the periodic and oscillatory type $I_O$, in an anti-ferromagnetic spin-1 Bose-Einstein condensate in a nonzero magnetic field, by employing the coupled-mode theory and numerical method. This is in sharp contrast to the dynamical stability of the same system in zero field. Remarkably, a pattern transition from a periodic dynamical instability $I_O$ to a uniform one $III_O$ occurs at a critical magnetic field. All the four types of dynamical instability and the pattern transition are ready to be detected in $^{23}$Na condensates within the availability of the current experimental techniques.