Quantum Hall fractions in ultracold atomic vapors

TL;DR

This paper explores the emergence of fractional quantum Hall states in ultracold atomic vapors under rotation, highlighting the principal sequence of fractions, exotic intermediate states, and the effects of p-wave interactions.

Contribution

It introduces the theoretical framework for observing fractional quantum Hall effects in ultracold atomic vapors, including bosonic and fermionic cases, and discusses potential exotic states.

Findings

Principal sequence of fractions nu = p/(p+- 1) identified

Paired Moore-Read Pfaffian state discussed as a termination point

Exotic states predicted between paired state and vortex lattice

Abstract

Atomic vapors can be prepared and manipulated at very low densities and temperatures. When they are rotating, they can reach a quantum Hall regime in which there should be manifestations of the fractional quantum Hall effect. We discuss the appearance of the principal sequence of fractions nu =p/(p+- 1) for bosonic atoms. The termination point of this series is the paired Moore-Read Pfaffian state. Exotic states fill the gap between the paired state and the vortex lattice expected at high filling of the lowest Landau level. In fermionic vapors, the p-wave scattering typical of ultralow energy collisions leads to the hard-core model when restricted to the lowest Landau level.