中国物理B ›› 2006, Vol. 15 ›› Issue (12): 2828-2834.doi: 10.1088/1009-1963/15/12/010

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Entanglement in the supermolecular dimer [Mn4]2

贺明明1, 梁九卿1, 许长谭2, 陈 刚3   

  1. (1)Institute of Theoretical Physics, Shanxi University, Taiyuan 030006 ,China; (2)Institute of Theoretical Physics, Shanxi University, Taiyuan 030006 ,China;Institute of Condensed Matter Physics, Linyi Normal University, Linyi 276005, China;Department of Physics, Qufu Normal University, Qufu 273165, China; (3)Institute of Theoretical Physics, Shanxi University, Taiyuan 030006,China;Department of Physics, Shaoxing College of Arts and Sciences,Shaoxing 312000, China
  • 收稿日期:2005-12-31 修回日期:2006-05-17 出版日期:2006-12-20 发布日期:2006-12-20
  • 基金资助:
    Project supported by the Natural Science Foundation of China (Grant No 10475053).

Entanglement in the supermolecular dimer [Mn4]2

Xu Chang-Tan(许长谭)a)b)c)† , Chen Gang(陈刚)a)d), He Ming-Ming(贺明明)a), and Liang Jiu-Qing(梁九卿)a)   

  1. a Institute of Theoretical Physics, Shanxi University, Taiyuan 030006, China; b Institute of Condensed Matter Physics, Linyi Normal University, Linyi 276005, Chinac Department of Physics, Qufu Normal University, Qufu 273165, China; d Department of Physics, Shaoxing College of Arts and Sciences, Shaoxing 312000, China
  • Received:2005-12-31 Revised:2006-05-17 Online:2006-12-20 Published:2006-12-20
  • Supported by:
    Project supported by the Natural Science Foundation of China (Grant No 10475053).

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摘要： This paper investigates the entanglement in the supermolecular dimer [Mn4]2 consisting of a pair of single molecular magnets with antiferromagnetic exchange-coupling J. The conventional von Neumann entropy as a function of the exchange-coupling is calculated explicitly for all eigenstates with the quantum number range from M=M1+M2=-9 to 0. It is shown that the von Neumann entropy is not a monotonic function of the coupling strength. However, it is significant that the entropy of entanglement has the maximum values and the minimum values for most eigenstates, which is extremely useful in the quantum computing. It also presents the time-evolution of entanglement from various initial states. The results are useful in the design of devices based on the entanglement of two molecular magnets.

关键词: entanglement, supermolecular dimer $[ \Mn_4] _2, $ exchange-coupling, time-evolution of \\ \hspace*{1.9cm} entanglement

Abstract: This paper investigates the entanglement in the supermolecular dimer [Mn4]2 consisting of a pair of single molecular magnets with antiferromagnetic exchange-coupling J. The conventional von Neumann entropy as a function of the exchange-coupling is calculated explicitly for all eigenstates with the quantum number range from M=M1+M2=-9 to 0. It is shown that the von Neumann entropy is not a monotonic function of the coupling strength. However, it is significant that the entropy of entanglement has the maximum values and the minimum values for most eigenstates, which is extremely useful in the quantum computing. It also presents the time-evolution of entanglement from various initial states. The results are useful in the design of devices based on the entanglement of two molecular magnets.

Key words: entanglement, supermolecular dimer [Mn4]2 exchange-coupling, time-evolution of entanglement

中图分类号:  (Entanglement and quantum nonlocality)

  • 03.65.Ud
03.67.Mn (Entanglement measures, witnesses, and other characterizations)