Floquet dynamical quantum phase transitions of the XY spin-chain under periodic quenching

Abstract

Floquet dynamical quantum phase transitions(DQPTs) of the XY spin chain in transverse fields under periodic quenching have been studied. The properties of Floquet DQPTs, which come from two-stage periodic quench with different time scales, have been analyzed by the properties of the return amplitude, the corresponding rate function, and the geometric phase. Different time distribution for each quenching period have been discussed, which determined the emergence of the Fisher zeros. This is an extended study on the properties of Floquet DQPTs for the periodic quenched systems.