Effects of quantum quench on entanglement dynamics in antiferromagnetic Ising model

doi:10.1088/1674-1056/ace15c

中国物理B ›› 2023, Vol. 32 ›› Issue (10): 100303-100303.doi: 10.1088/1674-1056/ace15c

Effects of quantum quench on entanglement dynamics in antiferromagnetic Ising model

Yue Li(李玥)¹, Panpan Fang(房盼盼)^1,2, Zhe Wang(王哲)^1,2, Panpan Zhang(张盼盼)^1,3, Yuliang Xu(徐玉良)¹, and Xiangmu Kong(孔祥木)^1,2,†

1 School of Physics and Optoelectronic Engineering, Institute of Theoretical Physics, Ludong University, Yantai 264025, China;
2 College of Physics and Engineering, Qufu Normal University, Qufu 273165, China;
3 Department of Physics, Beijing Normal University, Beijing 100875, China

收稿日期:2023-04-14 修回日期:2023-06-11 接受日期:2023-06-25 出版日期:2023-09-21 发布日期:2023-10-08
通讯作者: Xiangmu Kong E-mail:kongxm668@163.com
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11675090) and the Natural Science Foundation of Shandong Provincie, China (Grant No. ZR2022MA041).

Effects of quantum quench on entanglement dynamics in antiferromagnetic Ising model

Yue Li(李玥)¹, Panpan Fang(房盼盼)^1,2, Zhe Wang(王哲)^1,2, Panpan Zhang(张盼盼)^1,3, Yuliang Xu(徐玉良)¹, and Xiangmu Kong(孔祥木)^1,2,†

1 School of Physics and Optoelectronic Engineering, Institute of Theoretical Physics, Ludong University, Yantai 264025, China;
2 College of Physics and Engineering, Qufu Normal University, Qufu 273165, China;
3 Department of Physics, Beijing Normal University, Beijing 100875, China

Received:2023-04-14 Revised:2023-06-11 Accepted:2023-06-25 Online:2023-09-21 Published:2023-10-08
Contact: Xiangmu Kong E-mail:kongxm668@163.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11675090) and the Natural Science Foundation of Shandong Provincie, China (Grant No. ZR2022MA041).

摘要/Abstract

摘要： We study the relationship between quench dynamics of entanglement and quantum phase transition in the antiferromagnetic Ising model with the Dzyaloshinskii-Moriya (DM) interaction by using the quantum renormalization-group method and the definition of negativity. Two types of quench protocols (i) adding the DM interaction suddenly and (ii) rotating the spins around x axis are considered to drive the dynamics of the system, respectively. By comparing the behaviors of entanglement in both types of quench protocols, the effects of quench on dynamics of entanglement are studied. It is found that there is the same characteristic time at which the negativity firstly reaches its maximum although the system shows different dynamical behaviors. Especially, the characteristic time can accurately reflect the quantum phase transition from antiferromagnetic to saturated chiral phases in the system. In addition, the correlation length exponent can be obtained by exploring the nonanalytic and scaling behaviors of the derivative of the characteristic time.

关键词: quantum entanglement, quantum phase transition, quantum quench, quantum renormalization group

Abstract: We study the relationship between quench dynamics of entanglement and quantum phase transition in the antiferromagnetic Ising model with the Dzyaloshinskii-Moriya (DM) interaction by using the quantum renormalization-group method and the definition of negativity. Two types of quench protocols (i) adding the DM interaction suddenly and (ii) rotating the spins around x axis are considered to drive the dynamics of the system, respectively. By comparing the behaviors of entanglement in both types of quench protocols, the effects of quench on dynamics of entanglement are studied. It is found that there is the same characteristic time at which the negativity firstly reaches its maximum although the system shows different dynamical behaviors. Especially, the characteristic time can accurately reflect the quantum phase transition from antiferromagnetic to saturated chiral phases in the system. In addition, the correlation length exponent can be obtained by exploring the nonanalytic and scaling behaviors of the derivative of the characteristic time.

Key words: quantum entanglement, quantum phase transition, quantum quench, quantum renormalization group

中图分类号: (Entanglement and quantum nonlocality)

03.65.Ud

73.43.Nq (Quantum phase transitions) 05.70.Ln (Nonequilibrium and irreversible thermodynamics) 03.67.Mn (Entanglement measures, witnesses, and other characterizations)

Yue Li(李玥), Panpan Fang(房盼盼), Zhe Wang(王哲), Panpan Zhang(张盼盼), Yuliang Xu(徐玉良), and Xiangmu Kong(孔祥木). Effects of quantum quench on entanglement dynamics in antiferromagnetic Ising model[J]. 中国物理B, 2023, 32(10): 100303-100303.

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Effects of quantum quench on entanglement dynamics in antiferromagnetic Ising model

Effects of quantum quench on entanglement dynamics in antiferromagnetic Ising model

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