Study of a degenerate dipolar Fermi gas of 161Dy atoms

TL;DR

This paper investigates the properties of a degenerate dipolar Fermi gas of 161Dy atoms using hydrodynamic models, reduced dimensionality approximations, and analytical methods, providing insights into shape, size, chemical potential, and anisotropic sound propagation.

Contribution

It introduces reduced 1D and 2D models for dipolar Fermi gases and validates them against full 3D numerical solutions, also deriving analytical results for anisotropic sound propagation.

Findings

Reduced models agree with full 3D solutions for shape and chemical potential.

Analytical and numerical results confirm anisotropic sound propagation in dipolar Fermi gases.

Variational approximation effectively captures system properties under trapping conditions.

Abstract

We study properties of a single-component (spin polarized) degenerate dipolar Fermi gas of 161Dy atoms using a hydrodynamic description. Under axially-symmetric trapping we suggest reduced one- (1D) and two-dimensional (2D) description of the same for cigar and disk shapes, respectively. In addition to a complete numerical solution of the hydrodynamic model we also consider a variational approximation of the same. For a trapped system under appropriate conditions, the variational approximation as well as the reduced 1D and 2D models are found to yield results for shape, size and chemical potential of the system in agreement with the full numerical solution of the three-dimensional (3D) model. For the uniform system we consider anisotropic sound propagation in 3D. An analytical result for anisotropic sound propagation in uniform dipolar degenerate Fermi gas is found to be in agreement with results of numerical simulation in 3D.