Dynamical characteristic of measurement uncertainty under Heisenberg spin models with Dzyaloshinskii–Moriya interactions

doi:10.1007/s11467-018-0880-1

Frontiers of Physics

2019, Vol. 14

Issue (3): 31601 https://doi.org/10.1007/s11467-018-0880-1

本期目录

Dynamical characteristic of measurement uncertainty under Heisenberg spin models with Dzyaloshinskii–Moriya interactions

Ying-Yue Yang¹, Wen-Yang Sun¹, Wei-Nan Shi¹, Fei Ming¹, Dong Wang^1,²(

), Liu Ye¹

¹. School of Physics & Material Science, Anhui University, Hefei 230601, China
². CAS Key Laboratory of Quantum Information, University of Science and Technology of China, Hefei 230026, China

全文: PDF(2112 KB)

Abstract：

The dynamics of measurement’s uncertainty via entropy for a one-dimensional Heisenberg XY Z mode is examined in the presence of an inhomogeneous magnetic field and Dzyaloshinskii–Moriya (DM) interaction. It shows that the uncertainty of interest is intensively in connection with the filed’s temperature, the direction-oriented coupling strengths and the magnetic field. It turns out that the stronger coupling strengths and the smaller magnetic field would induce the smaller measurement’s uncertainty of interest within the current spin model. Interestingly, we reveal that the evolution of the uncertainty exhibits quite different dynamical behaviors in antiferromagnetic (J_i>0) and ferromagnetic (J_i<0) frames. Besides, an analytical solution related to the systematic entanglement (i.e., concurrence) is also derived in such a scenario. Furthermore, it is found that the DM-interaction is desirably working to diminish the magnitude of the measurement’s uncertainty in the region of high-temperature. Finally, we remarkably offer a resultful strategy to govern the entropy-based uncertainty through utilizing quantum weak measurements, being of fundamentally importance to quantum measurement estimation in the context of solid-state-based quantum information processing and computation.

Key words： measurement uncertainty concurrence Heisenberg XY Z chain weak measurement lower bound

收稿日期: 2018-08-25 出版日期: 2019-01-30

Corresponding Author(s): Dong Wang

引用本文:

. [J]. Frontiers of Physics, 2019, 14(3): 31601.
Ying-Yue Yang, Wen-Yang Sun, Wei-Nan Shi, Fei Ming, Dong Wang, Liu Ye. Dynamical characteristic of measurement uncertainty under Heisenberg spin models with Dzyaloshinskii–Moriya interactions. Front. Phys. , 2019, 14(3): 31601.

链接本文:

https://academic.hep.com.cn/fop/CN/10.1007/s11467-018-0880-1
https://academic.hep.com.cn/fop/CN/Y2019/V14/I3/31601

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