# Observation of Laughlin states made of light

## TL;DR

This paper reports the first observation of Laughlin states formed by light photons in a synthetic quantum system, demonstrating topological order and photon correlations akin to fractional quantum Hall states.

## Contribution

It introduces a photonic analog of the Laughlin state using Rydberg-mediated interactions and synthetic magnetic fields, a novel realization in quantum optics.

## Key findings

- Photons form pairs in a Laughlin state with angular momentum superposition.
- Photon pairs avoid each other in real space, indicating topological order.
- First experimental observation of Laughlin states with light in a synthetic system.

## Abstract

Much of the richness in nature emerges because the same simple constituents can form an endless variety of ordered states. While many such states are fully characterized by their symmetries, interacting quantum systems can also exhibit topological order, which is instead characterized by intricate patterns of entanglement. A paradigmatic example of such topological order is the Laughlin state, which minimizes the interaction energy of charged particles in a magnetic field and underlies the fractional quantum Hall effect. Broad efforts have arisen to enhance our understanding of these orders by forming Laughlin states in synthetic quantum systems, such as those composed of ultracold atoms or photons. In spite of these efforts, electron gases remain essentially the only physical system in which topological order has appeared. Here, we present the first observation of optical photon pairs in the Laughlin state. These pairs emerge from a photonic analog of a fractional quantum Hall system, which combines strong, Rydberg-mediated interactions between photons and synthetic magnetic fields for light, induced by twisting an optical resonator. Photons entering this system undergo collisions to form pairs in an angular momentum superposition consistent with the Laughlin state. Characterizing the same pairs in real space reveals that the photons avoid each other, a hallmark of the Laughlin state. This work heralds a new era of quantum many-body optics, where strongly interacting and topological photons enable exploration of quantum matter with wholly new properties and unique probes.