Resonant dynamics of spin cluster in a periodically driven one-dimensional Rydberg lattice

TL;DR

This paper investigates the dynamics of spin clusters in a periodically driven Rydberg lattice, revealing resonant effects such as ballistic expansion and confinement, which are relevant for quantum state control.

Contribution

It introduces an effective Hamiltonian approach to analyze resonant driving effects on spin cluster dynamics in Rydberg lattices, highlighting novel ballistic and confinement behaviors.

Findings

Resonant driving induces ballistic expansion of spin clusters.

Near resonance, spin clusters exhibit Bloch-like oscillations.

Resonant effects differ from facilitation conditions, affecting spreading rates.

Abstract

Rydberg lattice under facilitation conditions can feature kinetic constraints, leading to ballistic and nonergodic behavior at different detuning intensities. Here, we demonstrate that a resonant driving field can achieve effects similar to those under facilitation conditions. We focus on the relaxation dynamics of spin clusters in a periodically driven Rydberg spin lattice. Through an effective Hamiltonian for the domain walls of the spin cluster, it is shown that when the driving frequency is resonant with the Rydberg interaction, the spin cluster exhibits ballistic expansion with half the spreading rate compared to the case of facilitation conditions. However, near the resonant point, the spin cluster displays confinement behavior of the Bloch-like oscillations. These results demonstrate the rich dynamic behaviors in the driven Rydberg spin lattices and may find applications in quantum state manipulation.