Anisotropic Instabilities in Trapped Spinor Bose-Einstein Condensates

TL;DR

This paper theoretically examines how anisotropic trapping potentials influence the development of instabilities in the polar phase of spin-1 Bose-Einstein condensates, revealing anisotropic growth patterns and oscillations in magnetization.

Contribution

It provides a rigorous analysis of spatial quantization effects on anisotropic instabilities in trapped spinor BECs, highlighting the directional dependence of ferromagnetic phase growth.

Findings

Growth of ferromagnetic phase is anisotropic in unconfined directions.

Magnetization correlation functions exhibit stronger oscillations along unconfined axes.

Anisotropic traps induce directional dependence in instability development.

Abstract

We theoretically investigate the effect of an anisotropic trap on the instability of the polar $(m_F=0)$ phase of a spin-1 Bose-Einstein condensate. By considering rigorously the spatial quantization, we show that the growth of the nascent ferromagnetic phase at short times becomes anisotropic with stronger oscillations in the magnetization correlation function along the unconfined direction.