Creating fractional quantum Hall states with atomic clusters using light-assisted insertion of angular momentum

TL;DR

This paper proposes a method to create fractional quantum Hall states in ultracold atomic clusters by using light-assisted angular momentum transfer, enabling exploration of topological quantum phases.

Contribution

It introduces a protocol for generating fractional quantum Hall states in atomic gases via controlled angular momentum injection using Raman transitions.

Findings

Successful scheme for preparing vortex states with mean field description.

Protocols for realizing Laughlin and Moore-Read fractional quantum Hall states.

Analysis of adiabatic conditions and control requirements for topological state nucleation.

Abstract

We describe a protocol to prepare clusters of ultracold bosonic atoms in strongly-interacting states reminiscent of fractional quantum Hall states. Our scheme consists in injecting a controlled amount of angular momentum to an atomic gas using Raman transitions carrying orbital angular momentum. By injecting one unit of angular momentum per atom, one realizes a single-vortex state, which is well described by mean field theory for large enough particle numbers. We also present schemes to realize fractional quantum Hall states, namely the bosonic Laughlin and Moore-Read states. We investigate the requirements for adiabatic nucleation of a such topological states, in particular comparing linear Landau-Zener ramps and arbitrary ramps obtained from optimized control methods. We also show that this protocol requires excellent control over the isotropic character of the trapping potential.