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XZY-YZX型三自旋相互作用对横场XX 自旋链中经典和量子关联的影响

Keywords: 自旋链, 量子相变, 量子关联
spin chains
, quantum phase transition, quantum discord

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Abstract:

借助于严格对角化方法,数值研究了具有XZY-YZX型三自旋相互作用的横场XX自旋链中经典和量子关联,讨论了三自旋相互作用对关联的影响,发现经典和量子关联在量子相变的临界点都具有奇异性. 不同于横场中的量子Ising链,经典和量子关联对外场的导数没有尺寸效应. 此外,在外场等于零的退化条件下,两个近邻自旋之间的总关联均分为经典和量子部分,并得到与文献一致的量子关联的行为.
By means of the exact diagonalization method,the classical and quantum correlations between the nearest-neighbors in transverse field XX spin chain with XZY-YZX type three-spin interactions are numerically studied. The effects of three-spin interactions on the correlations have been discussed. Both the singularity in the classical and quantum correlations at the critical points can be used to identify the quantum phase transitions of the model. However,different from that of the transverse field Ising chain,no finite-size effect is found in the derivatives in the correlations with respect to the transverse field. In addition,in case of zero external fields,the total correlations between two neighboring spins are divided equally into the classical and quantum parts,and the behaviors of quantum discord under this degenerative condition are in agreement with that in the literatures

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