Entanglement in the supermolecular dimer [Mn4]2  

作　　者：许长谭 陈刚 贺明明 梁九卿 

机构地区：[1]Institute of Theoretical Physics, Shanxi University, Taiyuan 030006, China [2]Institute of Condensed Matter Physics, Linyi Normal University, Linyi 276005, China [3]Department of Physics, Qufu Normal University, Qufu 273165, China [4]Department of Physics, Shaoxing College of Arts and Sciences, Shaoxing 312000, China

出　　处：《Chinese Physics B》2006年第12期2828-2834,共7页中国物理B（英文版）

基　　金：Project supported by the Natural Science Foundation of China （Grant No 10475053）.

摘　　要：This paper investigates the entanglement in the supermolecular dimer [Mn4]2 consisting of a pair of single molecular magnets with antiferromagnetic exchange-coupllng J. The conventional yon 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 yon 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.This paper investigates the entanglement in the supermolecular dimer [Mn4]2 consisting of a pair of single molecular magnets with antiferromagnetic exchange-coupllng J. The conventional yon 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 yon 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 [Mn4]2 EXCHANGE-COUPLING time-evolution of entanglement 

分 类 号：O41[理学—理论物理]