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

doi:10.1088/1674-1056/accf68

摘要/Abstract

摘要： Floquet dynamical quantum phase transitions (DQPTs), which are nonanalytic phenomena recuring 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 are investigated. We analytically solve the system, and by considering the eigenstate as well as the ground state as the initial state of the Floquet dynamics, we study the corresponding multiple Floquet DQPTs emerged in the micromotion with different kicking moments. The rate function of return amplitude, the Pancharatnam geometric phase and the dynamical topological order parameter are calculated, which consistently verify the emergence of Floquet DQPTs in the system.

关键词: Floquet dynamical quantum phase transitions, periodic kick, XY spin chains

Abstract: Floquet dynamical quantum phase transitions (DQPTs), which are nonanalytic phenomena recuring 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 are investigated. We analytically solve the system, and by considering the eigenstate as well as the ground state as the initial state of the Floquet dynamics, we study the corresponding multiple Floquet DQPTs emerged in the micromotion with different kicking moments. The rate function of return amplitude, the Pancharatnam geometric phase and the dynamical topological order parameter are calculated, which consistently verify the emergence of Floquet DQPTs in the system.

Key words: Floquet dynamical quantum phase transitions, periodic kick, XY spin chains

中图分类号: (Phases: geometric; dynamic or topological)

03.65.Vf

05.30.Rt (Quantum phase transitions) 75.10.Pq (Spin chain models)

Li-Na Luan(栾丽娜), Mei-Yu Zhang(张镁玉), and Lin-Cheng Wang(王林成). Floquet dynamical quantum phase transitions in transverse XY spin chains under periodic kickings[J]. 中国物理B, 2023, 32(9): 90302-090302.

Li-Na Luan(栾丽娜), Mei-Yu Zhang(张镁玉), and Lin-Cheng Wang(王林成). Floquet dynamical quantum phase transitions in transverse XY spin chains under periodic kickings[J]. Chin. Phys. B, 2023, 32(9): 90302-090302.

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