Floquet Mechanism for Non-Abelian Fractional Quantum Hall States

TL;DR

This paper proposes a novel Floquet engineering method to generate and control effective three-body interactions in fractional quantum Hall systems, enabling the realization of non-Abelian states through periodic modulation of two-body interactions.

Contribution

It introduces an analytic formalism for Floquet-driven FQH systems, distinct from bandstructure approaches, and demonstrates tunable three-body interactions supporting non-Abelian states.

Findings

Floquet driving creates tunable three-body interactions

Supports non-Abelian multicomponent FQH states

Proposes implementation with ultracold polar molecules

Abstract

Three-body correlations, which arise between spin-polarized electrons in the first excited Landau level, are believed to play a key role in the emergence of enigmatic non-Abelian fractional quantum Hall (FQH) effects. Inspired by recent advances in Floquet engineering, we investigate periodic driving of anisotropic two-body interactions as a route for controllably creating and tuning effective three-body interactions in the FQH regime. We develop an analytic formalism to describe this Floquet-FQH protocol, which is distinct from previous approaches that instead focus on bandstructure engineering via modulation of single-particle hopping terms. By systematically analyzing the resulting interactions using generalized pseudopotentials, we show that our Floquet-FQH approach leads to repulsive as well as attractive three-body interactions that are highly tunable and support a variety of non-Abelian multicomponent FQH states. Finally, we propose an implementation of the protocol in optically dressed ultracold polar molecules with modulated Rabi frequencies.