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)
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
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.
Received: 31 December 2005
Revised: 17 May 2006
Accepted manuscript online:
(Entanglement measures, witnesses, and other characterizations)
Fund: Project
supported by the Natural Science Foundation of China (Grant No
10475053).
Cite this article:
Xu Chang-Tan(许长谭), Chen Gang(陈刚), He Ming-Ming(贺明明), and Liang Jiu-Qing(梁九卿) Entanglement in the supermolecular dimer [Mn4]2 2006 Chinese Physics 15 2828
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