Hydrodynamic equation of a spinor dipolar Bose-Einstein condensate

TL;DR

This paper develops a hydrodynamic framework for analyzing spin dynamics in a ferromagnetic dipolar Bose-Einstein condensate, enabling simplified investigation of spin waves, instabilities, and magnetic fluctuations.

Contribution

It introduces a novel hydrodynamical equation set that captures spin dynamics in dipolar BECs using a vector and complex scalar representation.

Findings

Analytical expressions for dynamical instability

Description of magnetic fluctuation preferences

Simplified approach for spin dynamics analysis

Abstract

We introduce equations of motion for spin dynamics in a ferromagnetic Bose-Einstein condensate with magnetic dipole-dipole interaction, written using a vector expressing the superfluid velocity and a complex scalar describing the magnetization. This simple hydrodynamical description extracts the dynamics of spin wave and affords a straightforward approach by which to investigate the spin dynamics of the condensate. To demonstrate the advantages of the description, we illustrate dynamical instability and magnetic fluctuation preference, which are expressed in analytical forms.