Rossby-Haurwitz wave in a rotating bubble-shaped Bose-Einstein condensate

TL;DR

This paper investigates Rossby-Haurwitz waves in a rotating shell-shaped Bose-Einstein condensate, demonstrating their existence through numerical simulations using vortex models and the Gross-Pitaevskii equation.

Contribution

It introduces the observation of Rossby-Haurwitz waves in a superfluid on a spherical surface, combining vortex modeling and quantum fluid simulations.

Findings

RH waves can be observed in superfluid systems with quantized vortices.

Numerical evidence supports the existence of RH waves in shell-shaped Bose-Einstein condensates.

The study bridges classical fluid dynamics and quantum superfluid behavior.

Abstract

A Rossby-Haurwitz (RH) wave is an excitation mode of a fluid on a rotating spherical surface, which propagates westward in the rotating frame of reference. Motivated by the recent realization of the shell-shaped Bose-Einstein condensate in microgravity, we investigate the RH wave in a superfluid rotating on a spherical-surface geometry. We employ the point-vortex model and the three-dimensional Gross-Pitaevskii equation, and numerically demonstrate that RH waves can be observed in the system of a superfluid with quantized vortices.