Thermal quantum correlations and quantum phase transitions in Ising-XXZ diamond chain

被引：21
作者：
Gao, Kun [1 ]
Xu, Yu-Liang [1 ]
Kong, Xiang-Mu [1 ]
Liu, Zhong-Qiang [1 ]
机构：
[1] Qufu Normal Univ, Dept Phys, Shandong Prov Key Lab Laser Polarizat & Informat, Qufu 273165, Peoples R China
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2015年 / 429卷
基金：
中国国家自然科学基金;
关键词：
Quantum correlation; Quantum phase transition; Ising-XXZ model; Transfer-matrix method; ENTANGLEMENT; DISCORD;
D O I：
10.1016/j.physa.2015.02.007
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Quantuni phase transitions (QPT) in the infinite-long Ising-XXZ diamond chain, characterized by the quantum correlations measured by the quantum discord (QD) and the entanglement of formation (EoF), are investigated exactly by the transfer-matrix method. QD and EoF are calculated numerically for different values of anisotropy parameter, external magnetic field, and temperature. It is found that the singularity of QD and EoF around quantum critical points (QCPs), especially that of their first derivatives may not only spotlight the QCPs but also depict the QPT from unentangled state in ferrimagnetic phase to an entangled state in frustrated phase or to an entangled state in the ferrimagnetic phase. (C) 2015 Elsevier B.V. All rights reserved.
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收藏
页码：10 / 16
页数：7
相关论文
共 43 条
[1]   Quantum discord for two-qubit X states (vol 81, 042105, 2010) [J].
Ali, Mazhar ;
Rau, A. R. P. ;
Alber, G. .
PHYSICAL REVIEW A, 2010, 82 (06)
[2]   Quantum discord for two-qubit X states [J].
Ali, Mazhar ;
Rau, A. R. P. ;
Alber, G. .
PHYSICAL REVIEW A, 2010, 81 (04)
[3]   Natural thermal and magnetic entanglement in the 1D Heisenberg model [J].
Arnesen, MC ;
Bose, S ;
Vedral, V .
PHYSICAL REVIEW LETTERS, 2001, 87 (01)
[4]  
Baxter R., 2007, Exactly Solved Models in Statistical Mechanics
[5]  
Bennett CH, 1996, PHYS REV A, V54, P3824, DOI 10.1103/PhysRevA.54.3824
[6]   Critical point estimation and long-range behavior in the one-dimensional XY model using thermal quantum and total correlations [J].
Cakmak, B. ;
Karpat, G. ;
Gedik, Z. .
PHYSICS LETTERS A, 2012, 376 (45) :2982-2988
[7]   Criticality, factorization, and long-range correlations in the anisotropic XY model [J].
Campbell, Steve ;
Richens, Jonathan ;
Lo Gullo, Nicola ;
Busch, Thomas .
PHYSICAL REVIEW A, 2013, 88 (06)
[8]   Geometric frustration in the class of exactly solvable Ising-Heisenberg diamond chains [J].
Canova, Lucia ;
Strecka, Jozef ;
Jascur, Michal .
JOURNAL OF PHYSICS-CONDENSED MATTER, 2006, 18 (20) :4967-4984
[9]   Quantum discord of two-qubit X states [J].
Chen, Qing ;
Zhang, Chengjie ;
Yu, Sixia ;
Yi, X. X. ;
Oh, C. H. .
PHYSICAL REVIEW A, 2011, 84 (04)
[10]   Geometric discord approach to quantum phase transition in the anisotropy XY spin model [J].
Cheng, W. W. ;
Shan, C. J. ;
Sheng, Y. B. ;
Gong, L. Y. ;
Zhao, S. M. ;
Zheng, B. Y. .
PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES, 2012, 44 (7-8) :1320-1323
12345