Floquet-engineered fidelity revivals in the PXP model

TL;DR

This paper investigates how periodic driving influences the dynamics of the PXP model, revealing mechanisms for dynamical revivals and control strategies to avoid thermalization in quantum many-body systems.

Contribution

It uncovers the spectral mechanisms behind revival phenomena and demonstrates how initial states and driving parameters can be tuned to control long-lived quantum dynamics.

Findings

Revival trajectories are governed by dominant quasi-energy spacings.

Hybrid dynamics can be engineered by initial state overlap with Floquet eigenstates.

Control of driving parameters can steer systems away from Floquet thermalization.

Abstract

We explore the dynamics of the PXP model when subjected to a periodic drive, and unveil the mechanism through which the interplay between spectral properties and initial states governs the emergence of dynamical revivals and their evolution across the space of driving parameters. For N\'eel-ordered initial states, revivals follow well-defined trajectories in the parameter space of the driving, primarily determined by a dominant quasi-energy spacing in the Floquet spectrum. Initial states interpolating between N\'eel and fully polarized configurations exhibit hybrid dynamics, which can be controlled by tuning their overlap with Floquet eigenstates via the driving parameters. This control also allows steering different routes for avoiding Floquet thermalization, showing how both initial state choice and driving protocol shape long-lived dynamics in this driven quantum many-body systems.