Finite-temperature entanglement for low-dimensional quantum spin chains

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	Finite-temperature entanglement for low-dimensional quantum spin chains
	Z. Y. Sun; K. L. Yao; W. Yao; D. H. Zhang; Z. L. Liu
	2008
发表期刊	Physical Review B
ISSN	1098-0121
卷号	77 期号:1
摘要	Based on transfer-matrix density matrix renormalization group (TMRG) method, a general procedure to calculate the finite-temperature pairwise entanglement of low-dimensional quantum chains is proposed. The reduced pairwise density matrix is reconstructed with TMRG, and measures of quantum entanglement can be calculated from the pairwise density matrix. The finite-temperature entanglement of the diamond chain model and the spin trimerized model, which are two typical models revealing 1/3 plateaus in the magnetization curves, is calculated. For the diamond chain model, the anisotropy coefficient Delta is found to have a great effect on the appearance of the magnetization plateau, and the plateau disappears when Delta=0.5. Moreover, our results show that the pairwise entanglement can provide information complementary to that obtained from bulk properties. For the trimerized model, the temperature dependence of the pairwise entanglement is calculated, and the threshold temperature T(c), above which the thermal entanglement vanishes, is found to be independent of the external magnetic field B. In addition, the scaling behavior of the thermal entanglement is calculated in the Trotter space. With the augmentation of the system in the Trotter direction, we find that the low-temperature entanglement shows obvious variation in the vicinity of quantum phase transition (QPT) point B(c) and converges fast in noncritical regions, which provides another way to identify QPT of one-dimensional quantum systems.
部门归属	[sun, zhao-yu; yao, kai-lun; yao, wei; zhang, de-hua; liu, zu-li] huazhong univ sci & technol, dept phys, wuhan 430074, peoples r china. [yao, kai-lun] chinese acad sci, int ctr mat phys, shenyang 110016, peoples r china.;yao, kl (reprint author), huazhong univ sci & technol, dept phys, wuhan 430074, peoples r china;klyao@mail.hust.edu.cn
关键词	Matrix Renormalization-group State Thermodynamics S=1/2
URL	查看原文
WOS记录号	WOS:000252862200058
引用统计	被引频次：17[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.imr.ac.cn/handle/321006/33097
专题	中国科学院金属研究所
推荐引用方式 GB/T 7714	Z. Y. Sun,K. L. Yao,W. Yao,et al. Finite-temperature entanglement for low-dimensional quantum spin chains[J]. Physical Review B,2008,77(1).
APA	Z. Y. Sun,K. L. Yao,W. Yao,D. H. Zhang,&Z. L. Liu.(2008).Finite-temperature entanglement for low-dimensional quantum spin chains.Physical Review B,77(1).
MLA	Z. Y. Sun,et al."Finite-temperature entanglement for low-dimensional quantum spin chains".Physical Review B 77.1(2008).