Title: A counter-diabatic route to realize dynamical many-body freezing in the periodically driven Lipkin-Meshkov-Glick model

Speaker: Prof. Sayan Choudhury, HRI, Allahabad

Abstract: In recent years, counter-diabatic (CD) driving has emerged as a powerful tool to speed up adiabatic evolution in quantum systems by suppressing non-adiabatic excitations. In this work, we explore the effectiveness of CD protocols in suppressing Floquet heating by analyzing the periodically driven Lipkin-Meshkov-Glick model. Intriguingly, we discover a large parameter regime, where CD driving leads to dynamical many-body freezing and eternal entanglement oscillations for certain initial states. More generally, we find that CD driving leads to Floquet eigenstates with anomalously low entanglement and consequently a lowering of the average eigenstate entanglement. Our results suggest that CD driving protocols may provide a powerful route to realize long-lived Floquet phases of matter.