Counterdiabatic Route to Entanglement Steering and Dynamical Freezing in the Floquet Lipkin-Meshkov-Glick Model

TL;DR

This paper demonstrates how counter-diabatic driving can control entanglement and suppress heating in the Floquet Lipkin-Meshkov-Glick model, enabling long-lasting entangled states and spin squeezing for quantum technologies.

Contribution

It introduces a novel application of counter-diabatic driving to steer entanglement and achieve dynamical freezing in a periodically driven quantum spin model.

Findings

Achieves approximate stroboscopic freezing of dynamics.

Generates spin squeezing and multipartite entanglement.

Reduces eigenstate entanglement and localization, indicating suppressed heating.

Abstract

Controlling the dynamics of quantum many-body systems is crucial for developing quantum technologies. This work demonstrates that counter-diabatic (CD) driving provides a powerful tool for steering collective spin systems along entangled trajectories for a long time. In particular, CD driving leads to approximate stroboscopic freezing and eternal entanglement oscillations for a large class of initial states in the periodically driven Lipkin-Meshkov-Glick model. Intriguingly, CD driving generates spin squeezing and its associated metrologically useful multipartite entanglement at the mid-point of every drive cycle, when the system is initially prepared in a fully x-polarized state. The CD driving induced non-ergodic dynamics is accompanied by a decrease in the average eigenstate entanglement and inverse participation ratio, thereby signalling greater eigenstate localization. Our work opens a new route to evade Floquet heating and control entanglement generation in collective spin systems.