Realization of a Laughlin state of two rapidly rotating fermions

TL;DR

This paper demonstrates the creation and sampling of a Laughlin state with two rapidly rotating fermionic atoms in an optical tweezer, revealing key quantum features and paving the way for assembling fractional quantum Hall states atom-by-atom.

Contribution

It introduces a method to realize and analyze a Laughlin state of two fermions using optical tweezers and spin-resolved imaging, a novel approach in quantum simulation.

Findings

Observation of vortex distribution in relative motion

Detection of correlations in relative angle

Evidence of interaction suppression

Abstract

We realize a Laughlin state of two rapidly rotating fermionic atoms in an optical tweezer. By utilizing a single atom and spin resolved imaging technique, we sample the Laughlin wavefunction, thereby revealing its distinctive features, including a vortex distribution in the relative motion, correlations in the particles' relative angle, and suppression of the inter-particle interactions. Our work lays the foundation for atom-by-atom assembly of fractional quantum Hall states in rotating atomic gases.