Non-equilibrium Fractional Quantum Hall state of light

TL;DR

This paper develops a method to analyze the quantum dynamics of strongly interacting photons in driven systems, applying it to Bose-Hubbard and fractional quantum Hall models, with potential atom-photon system implementations.

Contribution

It introduces an efficient approach to study small, driven, strongly interacting photon systems and quantifies their many-body quantum states using correlation functions.

Findings

Method successfully applied to Bose-Hubbard and fractional quantum Hall models.

Provides a way to quantify many-body quantum states of light.

Discusses feasible implementation in atom-photon systems.

Abstract

We investigate the quantum dynamics of systems involving small numbers of strongly interacting photons. Specifically, we develop an efficient method to investigate such systems when they are externally driven with a coherent field. Furthermore, we show how to quantify the many-body quantum state of light via correlation functions. Finally, we apply this method to two strongly interacting cases: the Bose-Hubbard and fractional quantum Hall models, and discuss an implementation of these ideas in atom-photon system.