Fractional Quantum Hall State in Coupled Cavities

TL;DR

This paper proposes a novel optical scheme to simulate fractional quantum Hall states using atoms in coupled cavities, enabling control over gauge potentials and particle creation with high addressability.

Contribution

It introduces a new method for simulating fractional quantum Hall systems with coupled cavities, incorporating gauge potentials and optical particle creation.

Findings

Simulation of fractional quantum Hall states achieved

Control over Abelian gauge potentials demonstrated

Individual addressability of cavity components enabled

Abstract

We propose a scheme to realize the fractional quantum Hall system with atoms confined in a two-dimensional array of coupled cavities. Our scheme is based on simple optical manipulation of atomic internal states and inter-cavity hopping of virtually excited photons. It is shown that as well as the fractional quantum Hall system, any system of hard-core bosons on a lattice in the presence of an arbitrary Abelian vector potential can be simulated solely by controlling the phases of constantly applied lasers. The scheme, for the first time, exploits the core advantage of coupled cavity simulations, namely the individual addressability of the components and also brings the gauge potential into such simulations as well as the simple optical creation of particles.