Local quantum Fisher information and quantum correlation in the mixed-spin Heisenberg XXZ chain

doi:10.1007/s11467-023-1336-9

Frontiers of Physics

2024, Vol. 19

Issue (2): 21201 https://doi.org/10.1007/s11467-023-1336-9

本期目录

Local quantum Fisher information and quantum correlation in the mixed-spin Heisenberg XXZ chain

Peng-Fei Wei¹, Qi Luo¹, Huang-Qiu-Chen Wang¹, Shao-Jie Xiong², Bo Liu³(

), Zhe Sun^1,⁴(

)

¹. School of Physics, Hangzhou Normal University, Hangzhou 310036, China
². Zhejiang Institute of Modern Physics and School of Physics, Zhejiang University, Hangzhou 310027, China
³. School of Information and Electrical Engineering, Hangzhou City University, Hangzhou 310015, China
⁴. Zhejiang Provincial Key Laboratory of Urban Wetlands and Regional Change, Hangzhou 311121, China

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Abstract：

We study the local quantum Fisher information (LQFI) in the mixed-spin Heisenberg XXZ chain. Both the maximal and minimal LQFI are studied and the former is essential to determine the accuracy of the quantum parameter estimation, the latter can be well used to characterize the discord-type quantum correlations. We investigate the effects of the temperature and the anisotropy parameter on the maximal LQFI and thus on the accuracy of the parameter estimation. Then we make use of the minimal LQFI to study the discord-type correlations of different site pairs. Different dimensions of the subsystems cause different values of the minimal LQFI which reflects the asymmetry of the discord-type correlation. In addition, the site pairs at different positions of the spin chains have different minimal LQFI, which reveals the influence of the surrounding spins on the bipartite quantum correlation. Our results show that the LQFI obtained through a simple calculation process provides a convenient way to investigate the discord-type correlation in high-dimensional systems.

Key words： local quantum Fisher information quantum correlation mixed-spin Heisenberg XXZ chain

收稿日期: 2023-04-06 出版日期: 2023-09-27

Corresponding Author(s): Bo Liu,Zhe Sun

引用本文:

. [J]. Frontiers of Physics, 2024, 19(2): 21201.
Peng-Fei Wei, Qi Luo, Huang-Qiu-Chen Wang, Shao-Jie Xiong, Bo Liu, Zhe Sun. Local quantum Fisher information and quantum correlation in the mixed-spin Heisenberg XXZ chain. Front. Phys. , 2024, 19(2): 21201.

链接本文:

https://academic.hep.com.cn/fop/CN/10.1007/s11467-023-1336-9
https://academic.hep.com.cn/fop/CN/Y2024/V19/I2/21201

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