Quantum correlations in a two-qubit anisotropic Heisenberg XYZ chain with uniform magnetic field

doi:10.1088/1674-1056/23/7/070306

›› 2014, Vol. 23 ›› Issue (7): 70306-070306.doi: 10.1088/1674-1056/23/7/070306

Quantum correlations in a two-qubit anisotropic Heisenberg XYZ chain with uniform magnetic field

李磊, 杨国晖

School of Physics and Information Engineering, Shanxi Normal University, Linfen 041004, China

收稿日期:2013-10-18 修回日期:2014-01-21 出版日期:2014-07-15 发布日期:2014-07-15
基金资助:
Project supported by the Natural Science Foundation for Young Scientists of Shanxi Province, China (Grant No. 2012021003-3) and the National Natural Science Foundation of China (Grant No. 11247247).

Quantum correlations in a two-qubit anisotropic Heisenberg XYZ chain with uniform magnetic field

Li Lei (李磊), Yang Guo-Hui (杨国晖)

School of Physics and Information Engineering, Shanxi Normal University, Linfen 041004, China

Received:2013-10-18 Revised:2014-01-21 Online:2014-07-15 Published:2014-07-15
Contact: Yang Guo-Hui E-mail:yangguohui_1981_1981@126.com
About author:03.67.Lx; 03.65.Ud; 75.10.Jm
Supported by:
Project supported by the Natural Science Foundation for Young Scientists of Shanxi Province, China (Grant No. 2012021003-3) and the National Natural Science Foundation of China (Grant No. 11247247).

摘要/Abstract

摘要： Quantum correlations in an anisotropic Heisenberg XYZ chain is investigated by use of concurrence C and measurement-induced disturbance (MID). We show that the behaviors of the MID are remarkably different from the concurrence. Firstly, it is shown that there is a revival phenomenon in the concurrence but not in the MID, which is suitable for both the ground state case and the finite temperature case. Based on the analysis of the ground-state C and MID structures, we illustrate the reason why the ground-state MID does not show a revival phenomenon in detail. Then we explore different effects of the external and self parameters on entanglement and MID behaviors. It can be shown that the region of MID is evidently larger than the case of concurrence, and that the concurrence signals a quantum phase transition even at finite T while MID does not. Cases where the concurrence finally maintains one nonzero constant value regardless of the value of the variable B for a constant J_z, while MID decreases monotonously to zero with increasing B. We also show that if B can take a proper range of values, the concurrence decreases with the improvement of the anisotropic parameter γ, whereas an opposite effect for MID behaviors is presented.

关键词: entanglement, measurement-induced disturbance, Heisenberg model

Abstract: Quantum correlations in an anisotropic Heisenberg XYZ chain is investigated by use of concurrence C and measurement-induced disturbance (MID). We show that the behaviors of the MID are remarkably different from the concurrence. Firstly, it is shown that there is a revival phenomenon in the concurrence but not in the MID, which is suitable for both the ground state case and the finite temperature case. Based on the analysis of the ground-state C and MID structures, we illustrate the reason why the ground-state MID does not show a revival phenomenon in detail. Then we explore different effects of the external and self parameters on entanglement and MID behaviors. It can be shown that the region of MID is evidently larger than the case of concurrence, and that the concurrence signals a quantum phase transition even at finite T while MID does not. Cases where the concurrence finally maintains one nonzero constant value regardless of the value of the variable B for a constant J_z, while MID decreases monotonously to zero with increasing B. We also show that if B can take a proper range of values, the concurrence decreases with the improvement of the anisotropic parameter γ, whereas an opposite effect for MID behaviors is presented.

Key words: entanglement, measurement-induced disturbance, Heisenberg model

中图分类号: (Quantum computation architectures and implementations)

03.67.Lx

03.65.Ud (Entanglement and quantum nonlocality) 75.10.Jm (Quantized spin models, including quantum spin frustration)

李磊, 杨国晖. Quantum correlations in a two-qubit anisotropic Heisenberg XYZ chain with uniform magnetic field[J]. , 2014, 23(7): 70306-070306.

Li Lei (李磊), Yang Guo-Hui (杨国晖). Quantum correlations in a two-qubit anisotropic Heisenberg XYZ chain with uniform magnetic field[J]. Chin. Phys. B, 2014, 23(7): 70306-070306.

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Quantum correlations in a two-qubit anisotropic Heisenberg XYZ chain with uniform magnetic field

Quantum correlations in a two-qubit anisotropic Heisenberg XYZ chain with uniform magnetic field

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