Excitation Spectrum and Stability from a Filled Landau Level in Rotating Dipolar Fermi Gases

TL;DR

This paper investigates the collective excitation spectrum of rotating dipolar Fermi gases, revealing a tunable roton-minimum that influences system stability, using the equation-of-motion method.

Contribution

It provides a theoretical analysis of the excitation spectrum and stability conditions in rotating dipolar Fermi gases, highlighting the tunability of the roton feature.

Findings

Roton-minimum in excitation spectrum can be tuned by dipole strength.

Increasing dipole interaction leads to system instability.

Derived stability conditions for rotating dipolar Fermi gases.

Abstract

We apply the equation-of-motion method to study the collective excitation spectrum from a filled Landau level in rotating dipolar Fermi gases. The predicted excitation spectrum of rotating dipolar Fermi gases can exhibit a roton-minimum character. This roton character is tunable by varying the dipole interaction strength and confining potential. An increase of the dipole interaction strength makes the roton minimum becoming zero, and the system becomes unstable. We also obtain a condition for the dynamical stability of rotating dipolar Fermi gases.