Geometric discord approach to quantum phase transition in the anisotropy XY spin model

被引:17
作者
Cheng, W. W. [1 ,2 ]
Shan, C. J. [2 ]
Sheng, Y. B. [1 ]
Gong, L. Y. [1 ]
Zhao, S. M. [1 ]
Zheng, B. Y. [1 ]
机构
[1] Nanjing Univ Posts & Telecommun, Inst Signal Proc & Transmiss, Nanjing 210093, Jiangsu, Peoples R China
[2] Hubei Normal Univ, Dept Phys, Huangshi 435002, Peoples R China
基金
中国国家自然科学基金;
关键词
STATISTICAL-MECHANICS; ENTANGLEMENT; ENVIRONMENTS;
D O I
10.1016/j.physe.2012.02.011
中图分类号
TB3 [工程材料学];
学科分类号
0805 ; 080502 ;
摘要
We investigate the quantum critical behavior in the anisotropy XY spin chain by means of geometric discord (D-G). Near the critical point, the key ingredients of the quantum criticality (e.g, finite-size scaling behavior, universality principle and critical exponents) are investigated carefully, and the results show that the D-G is reliable to characterize the quantum critical behavior in such system. (c) 2012 Elsevier B.V. All rights reserved.
引用
收藏
页码:1320 / 1323
页数:4
相关论文
共 35 条
[1]  
Alber G, 2004, QUANTUM INFORM INTRO
[2]   Geometric measure of quantum discord in non-Markovian environments [J].
Altintas, Ferdi .
OPTICS COMMUNICATIONS, 2010, 283 (24) :5264-5268
[3]   Entanglement in many-body systems [J].
Amico, Luigi ;
Fazio, Rosario ;
Osterloh, Andreas ;
Vedral, Vlatko .
REVIEWS OF MODERN PHYSICS, 2008, 80 (02) :517-576
[4]   STATISTICAL MECHANICS OF XY MODEL .1 [J].
BAROUCH, E ;
MCCOY, BM ;
DRESDEN, M .
PHYSICAL REVIEW A-GENERAL PHYSICS, 1970, 2 (03) :1075-+
[5]   STATISTICAL MECHANICS OF XY-MODEL .2. SPIN-CORRELATION FUNCTIONS [J].
BAROUCH, E ;
MCCOY, BM .
PHYSICAL REVIEW A-GENERAL PHYSICS, 1971, 3 (02) :786-+
[6]   Two-point entanglement near a quantum phase transition [J].
Chen, Han-Dong .
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2007, 40 (33) :10215-10224
[7]   Fidelity susceptibility approach to quantum phase transitions in the XY spin chain with multisite interactions [J].
Cheng, W. W. ;
Liu, J. -M. .
PHYSICAL REVIEW A, 2010, 82 (01)
[8]   Dephasing of qubits by the Schrodinger cat [J].
Dajka, J. ;
Mierzejewski, M. ;
Luczka, J. ;
Haenggi, P. .
PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES, 2010, 42 (03) :374-377
[9]   Necessary and Sufficient Condition for Nonzero Quantum Discord [J].
Dakic, Borivoje ;
Vedral, Vlatko ;
Brukner, Caslav .
PHYSICAL REVIEW LETTERS, 2010, 105 (19)
[10]   Quantum discord and quantum phase transition in spin chains [J].
Dillenschneider, Raoul .
PHYSICAL REVIEW B, 2008, 78 (22)