Global entanglement in ground state of {Cu3} single-molecular magnet with magnetic field

doi:10.1088/1674-1056/23/7/070302

›› 2014, Vol. 23 ›› Issue (7): 70302-070302.doi: 10.1088/1674-1056/23/7/070302

Global entanglement in ground state of {Cu₃} single-molecular magnet with magnetic field

李纪强, 周斌

Department of Physics, Hubei University, Wuhan 430062, China

收稿日期:2014-02-19 修回日期:2014-03-21 出版日期:2014-07-15 发布日期:2014-07-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11274102), the Program for New Century Excellent Talents in Universities, China (Grant No. NCET-11-0960), and the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20134208110001).

Global entanglement in ground state of {Cu₃} single-molecular magnet with magnetic field

Li Ji-Qiang (李纪强), Zhou Bin (周斌)

Department of Physics, Hubei University, Wuhan 430062, China

Received:2014-02-19 Revised:2014-03-21 Online:2014-07-15 Published:2014-07-15
Contact: Zhou Bin E-mail:binzhou@hubu.edu.cn
About author:03.65.Ud; 03.67.Mn; 75.10.Jm; 75.50.Xx
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11274102), the Program for New Century Excellent Talents in Universities, China (Grant No. NCET-11-0960), and the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20134208110001).

摘要/Abstract

摘要： We investigate global entanglement in the ground state of single-molecular magnet Na₉[Cu₃Na₃(H₂ O)₉(α -AsW₉O₃₃)₂]· 26H₂O with an external magnetic field. The concurrence, tangle, and measure function Q, which characterize the pairwise entanglement, 3-party entanglement and total entanglement, respectively, are calculated numerically at zero temperature. The results show that the magnitude and direction of the applied magnetic field play a significant role in the properties of three kinds of entanglement measures. We give a physical interpretation of the variation of the global entanglement with the magnetic field. Finally, the phase diagram of the global entanglement characterized by the critical magnetic fields is presented.

关键词: global entanglement, single-molecular magnet, triangular spin ring

Abstract: We investigate global entanglement in the ground state of single-molecular magnet Na₉[Cu₃Na₃(H₂ O)₉(α -AsW₉O₃₃)₂]· 26H₂O with an external magnetic field. The concurrence, tangle, and measure function Q, which characterize the pairwise entanglement, 3-party entanglement and total entanglement, respectively, are calculated numerically at zero temperature. The results show that the magnitude and direction of the applied magnetic field play a significant role in the properties of three kinds of entanglement measures. We give a physical interpretation of the variation of the global entanglement with the magnetic field. Finally, the phase diagram of the global entanglement characterized by the critical magnetic fields is presented.

Key words: global entanglement, single-molecular magnet, triangular spin ring

中图分类号: (Entanglement and quantum nonlocality)

03.65.Ud

03.67.Mn (Entanglement measures, witnesses, and other characterizations) 75.10.Jm (Quantized spin models, including quantum spin frustration) 75.50.Xx (Molecular magnets)

李纪强, 周斌. Global entanglement in ground state of {Cu₃} single-molecular magnet with magnetic field[J]. , 2014, 23(7): 70302-070302.

Li Ji-Qiang (李纪强), Zhou Bin (周斌). Global entanglement in ground state of {Cu₃} single-molecular magnet with magnetic field[J]. Chin. Phys. B, 2014, 23(7): 70302-070302.

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Global entanglement in ground state of {Cu₃} single-molecular magnet with magnetic field

Global entanglement in ground state of {Cu₃} single-molecular magnet with magnetic field

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