Faraday waves in elongated superfluid fermionic clouds

TL;DR

This paper investigates the formation of Faraday waves in elongated superfluid fermionic gases using hydrodynamic equations, providing analytical and numerical insights into pattern wavelength and confinement effects.

Contribution

It offers a combined analytical and numerical study of Faraday wave formation in superfluid Fermi gases, emphasizing the role of radial density profiles and axial confinement.

Findings

Analytical evaluation of Faraday pattern wavelength in cylindrical geometry

Numerical results show axial confinement effects are well captured by infinite cylinder approximation

Hydrodynamic equations effectively describe pattern formation in superfluid fermionic clouds

Abstract

We use hydrodynamic equations to study the formation of Faraday waves in a superfluid Fermi gas at zero temperature confined in a strongly elongated cigar-shaped trap. First, we treat the role of the radial density profile in the limit of an infinite cylindrical geometry and analytically evaluate the wavelength of the Faraday pattern. The effect of the axial confinement is fully taken into account in the numerical solution of hydrodynamic equations and shows that the infinite cylinder geometry provides a very good description of the phenomena.