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Floquet dynamical quantum phase transitions in transverse XY spin-chains under periodic kickings

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Floquet dynamical quantum phase transitions(DQPTs), which are nonanalytic phenomena recur periodically in time-periodic driven quantum many body systems, have been widely studied in recent years. In this article, the Floquet… Click to show full abstract

Floquet dynamical quantum phase transitions(DQPTs), which are nonanalytic phenomena recur periodically in time-periodic driven quantum many body systems, have been widely studied in recent years. In this article, the Floquet DQPTs in transverse XY spin-chains under the modulation of δ-function periodic kickings have been investigated. We analytically solved the system, and by considering the eigenstate as well as the ground state as the initial state of the Floquet dynamics, we studied the corresponding multiple Floquet DQPTs emerged in the micromotion with different kicking moments, respectively. The rate function of return amplitude, the Pancharatnam geometric phase and the dynamical topological order parameter have been calculated, which consistently verified the emergence of Floquet DQPTs in the system.

Keywords: phase; dynamical quantum; transverse spin; phase transitions; quantum phase; floquet dynamical

Journal Title: Chinese Physics B
Year Published: 2023

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