Driven dissipative preparation of few-body Laughlin states of Rydberg polaritons in twisted cavities

TL;DR

This paper proposes a driven dissipative method to generate Laughlin states of Rydberg polaritons in twisted cavities, enabling exploration of fractional statistics and quantum information applications.

Contribution

It introduces a novel protocol for creating optical Laughlin states via dissipation and resonant driving in Rydberg polariton systems, advancing quantum simulation capabilities.

Findings

Successful modeling of the dissipative state preparation process

Identification of conditions for decay into Laughlin-like states

Potential for exploring fractional statistics and anyon-based quantum info

Abstract

We present a driven dissipative protocol for creating an optical analog of the Laughlin state in a system of Rydberg polaritons in a twisted optical cavity. We envision resonantly driving the system into a 4-polariton state by injecting photons in carefully selected modes. The dissipative nature of the polariton-polariton interactions leads to a decay into a two-polariton analog of the Laughlin state. Generalizations of this technique could be used to explore fractional statistics and anyon based quantum information processing. We also model recent experiments that attempt to coherently drive into this same state.