Floquet engineering of interactions and entanglement in periodically driven Rydberg chains

TL;DR

This paper introduces a Floquet engineering method for Rydberg atom chains that enables control over interactions and entanglement, facilitating the simulation of complex quantum phases and large-scale entanglement generation.

Contribution

A novel Floquet control technique for Rydberg systems that manipulates interactions and entanglement dynamics through time-dependent detuning and operator spreading.

Findings

Engineered strong spin exchange interactions in Rydberg chains.

Demonstrated potential for creating large-scale multipartite entanglement.

Enabled exploration of gapless Luttinger liquid phases.

Abstract

Neutral atom arrays driven into Rydberg states constitute a promising approach for realizing programmable quantum systems. Enabled by strong interactions associated with Rydberg blockade, they allow for simulation of complex spin models and quantum dynamics. We introduce a new Floquet engineering technique for systems in the blockade regime that provides control over novel forms of interactions and entanglement dynamics in such systems. Our approach is based on time-dependent control of Rydberg laser detuning and leverages perturbations around periodic many-body trajectories as resources for operator spreading. These time-evolved operators are utilized as a basis for engineering interactions in the effective Hamiltonian describing the stroboscopic evolution. As an example, we show how our method can be used to engineer strong spin exchange, consistent with the blockade, in a one-dimensional chain, enabling the exploration of gapless Luttinger liquid phases. In addition, we demonstrate that combining gapless excitations with Rydberg blockade can lead to dynamic generation of large-scale multi-partite entanglement. Experimental feasibility and possible generalizations are discussed.