Fractional Quantum Hall States in Ultracold Rapidly Rotating Dipolar Fermi Gases

TL;DR

This paper explores the potential to realize fractional quantum Hall states in ultracold, rapidly rotating dipolar Fermi gases, highlighting their suitability for observing highly correlated quantum phenomena.

Contribution

It demonstrates the feasibility of creating incompressible fractional quantum Hall-like states in dipolar Fermi gases and identifies the $ u=1/3$ state as well-described by the Laughlin wave function.

Findings

Substantial energy gap in quasiparticle excitation spectrum

The $ u=1/3$ state matches Laughlin wave function predictions

Dipolar gases are promising candidates for experimental realization

Abstract

We demonstrate the experimental feasibility of incompressible fractional quantum Hall-like states in ultra-cold two dimensional rapidly rotating dipolar Fermi gases. In particular, we argue that the state of the system at filling fraction $\nu =1/3$ is well-described by the Laughlin wave function and find a substantial energy gap in the quasiparticle excitation spectrum. Dipolar gases, therefore, appear as natural candidates of systems that allow to realize these very interesting highly correlated states in future experiments.