Detection of multi-spin interaction of a quenched XY chain by the average work and the relative entropy

doi:10.1088/1674-1056/abeef5

中国物理B ›› 2021, Vol. 30 ›› Issue (9): 90504-090504.doi: 10.1088/1674-1056/abeef5

Detection of multi-spin interaction of a quenched XY chain by the average work and the relative entropy

Xiu-Xing Zhang(张修兴)^1,†, Fang-Jv Li(李芳菊)¹, Kai Wang(王凯)¹, Jing Xue(薛晶)¹, Guang-Wen Huo(霍广文)¹, Ai-Ping Fang(方爱平)², and Hong-Rong Li(李宏荣)^2,‡

1 Department of Physics, Weinan Normal University, Wei'nan 714099, China;
2 School of Physics, Xi'an Jiaotong University, Xi'an 710049, China

收稿日期:2020-10-23 修回日期:2021-03-10 接受日期:2021-03-16 出版日期:2021-08-19 发布日期:2021-08-19
通讯作者: Xiu-Xing Zhang, Hong-Rong Li E-mail:zhangxiuxing216@163.com;hrli@mail.xjtu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11304230), China Postdoctoral Science Foundation Funded Project (Grant No. 2014M562387), the Fund of the State Key Laboratory of Intense Pulsed Radiation Simulation and Effect (Grant No. SKLIPR1908).

Detection of multi-spin interaction of a quenched XY chain by the average work and the relative entropy

Xiu-Xing Zhang(张修兴)^1,†, Fang-Jv Li(李芳菊)¹, Kai Wang(王凯)¹, Jing Xue(薛晶)¹, Guang-Wen Huo(霍广文)¹, Ai-Ping Fang(方爱平)², and Hong-Rong Li(李宏荣)^2,‡

1 Department of Physics, Weinan Normal University, Wei'nan 714099, China;
2 School of Physics, Xi'an Jiaotong University, Xi'an 710049, China

Received:2020-10-23 Revised:2021-03-10 Accepted:2021-03-16 Online:2021-08-19 Published:2021-08-19
Contact: Xiu-Xing Zhang, Hong-Rong Li E-mail:zhangxiuxing216@163.com;hrli@mail.xjtu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11304230), China Postdoctoral Science Foundation Funded Project (Grant No. 2014M562387), the Fund of the State Key Laboratory of Intense Pulsed Radiation Simulation and Effect (Grant No. SKLIPR1908).

摘要/Abstract

摘要： We investigate the nonequilibrium thermodynamics of a quenched XY spin chain with multi-spin interaction in a transverse field. The analytical expressions of both the average work and the relative entropy are obtained under different quenching parameters. The influences of the system parameters on the nonequilibrium thermodynamics are investigated. We find that at finite temperature the critical phenomenon induced by the multi-spin interaction and the external field can be revealed by the properties of the system nonequilibrium thermodynamics. In addition, our results indicate that the average work and the relative entropy can be used to detect both the existence and strength of the multi-spin interaction in the nonequlibrium system.

关键词: nonequilibrium thermodynamics, spin chain, multi-spin interaction

Abstract: We investigate the nonequilibrium thermodynamics of a quenched XY spin chain with multi-spin interaction in a transverse field. The analytical expressions of both the average work and the relative entropy are obtained under different quenching parameters. The influences of the system parameters on the nonequilibrium thermodynamics are investigated. We find that at finite temperature the critical phenomenon induced by the multi-spin interaction and the external field can be revealed by the properties of the system nonequilibrium thermodynamics. In addition, our results indicate that the average work and the relative entropy can be used to detect both the existence and strength of the multi-spin interaction in the nonequlibrium system.

Key words: nonequilibrium thermodynamics, spin chain, multi-spin interaction

中图分类号: (Nonequilibrium and irreversible thermodynamics)

05.70.Ln

05.30.Rt (Quantum phase transitions) 05.40.-a (Fluctuation phenomena, random processes, noise, and Brownian motion) 75.10.Pq (Spin chain models)

Xiu-Xing Zhang(张修兴), Fang-Jv Li(李芳菊), Kai Wang(王凯), Jing Xue(薛晶), Guang-Wen Huo(霍广文), Ai-Ping Fang(方爱平), and Hong-Rong Li(李宏荣). Detection of multi-spin interaction of a quenched XY chain by the average work and the relative entropy[J]. 中国物理B, 2021, 30(9): 90504-090504.

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Detection of multi-spin interaction of a quenched XY chain by the average work and the relative entropy

Detection of multi-spin interaction of a quenched XY chain by the average work and the relative entropy

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