[1]类淑国.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[J].南京师大学报(自然科学版),2015,38(02):17.
 Lei Shuguo.Effects of XZY-YZX Type Three-Spin Interactions on the Classical and Quantum Correlations of the Transverse Field XX Spin Chain[J].Journal of Nanjing Normal University(Natural Science Edition),2015,38(02):17.
点击复制

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()
分享到:

《南京师大学报》(自然科学版)[ISSN:1001-4616/CN:32-1239/N]

卷:
第38卷
期数:
2015年02期
页码:
17
栏目:
物理学
出版日期:
2015-06-30

文章信息/Info

Title:
Effects of XZY-YZX Type Three-Spin Interactions on the Classical and Quantum Correlations of the Transverse Field XX Spin Chain
作者:
类淑国12
(1.南京师范大学物理科学与技术学院,江苏 南京 210023) (2.南京工业大学理学院,江苏 南京 211816)
Author(s):
Lei Shuguo12
(1.School of Physics and Technology,Nanjing Normal University,Nanjing 210023,China) (2.College of Sciences,Nanjing Tech University,Nanjing 211816,China)
关键词:
自旋链量子相变量子关联
Keywords:
spin chainsquantum phase transitionquantum discord
分类号:
O469
文献标志码:
A
摘要:
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.
Abstract:
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.

参考文献/References:

[1] Einstein A,Podolsky B,Rosen N. Can quantum-mechanical description of physical reality be considered complete?[J]. Phys Rev,1935,47:777-780.
[2]Nielsen M A,Chuang I L. Quantum Computation and Quantum Information[M]. Cambridge:Cambridge University Press,2011:1-169.
[3]Vedral V. Introduction to Quantum Information Science[M]. Oxford:Oxford University Press,2006:44-50.
[4]Amico L,Fazio R,Osterloh A,et al. Entanglement in many-body systems[J]. Rev Mod Phys,2008,80:517-576.
[5]Ollivier H,Zurek W H. Quantum discord:a measure of the quantumness of correlations[J]. Phys Rev Lett,2002,88:017901(1-4).
[6]Henderson L,Vedral V. Classical,quantum and total correlations[J]. J Phys A,2001,34:6 899-6 905.
[7]Datta A,Shaji A,Caves M. Quantum discord and the power of one qubit[J]. Phys Rev Lett,2008,100:050502.
[8]Lanyon B P,Barbieri M,Almeida M P,et al. Experimental quantum computing without entanglement[J]. Phys Rev Lett,2008,101:200501(1-4).
[9]Ferraro A,Aolita L,Cavalcanti D,et al. Almost all quantum states have nonclassical correlations[J]. Phys Rev A,2010,81:052318(1-6).
[10]Modi K,Brodutch A,Cable H,et al. The classical-quantum boundary for correlations:Discord and related measures[J]. Rev Mod Phys,2012,84:1 655-1 707.
[11]Sachdev S. Quantum Phase Transitions[M]. 2nd ed. Cambridge:Cambridge University Press,2011:3-17.
[12]Dillenschneider R. Quantum discord and quantum phase transition in spin chains[J]. Phys Rev B,2008,78:224 413(1-7).
[13]Sarandy M S. Classical correlation and quantum discord in critical systems[J]. Phys Rev A,2009,80:022108(1-9).
[14]Maziero J,Guzman H C,Céleri L C,et al. Serra,quantum and classical thermal correlations in the XY spin-1/2 chain[J]. Phys Rev A,2010,82:012106(1-6).
[15]Werlang T,Gustavo Rigolin. Thermal and magnetic quantum discord in Heisenberg models[J]. Phys Rev A,2010,81:044101(1-4).
[16]Werlang T,Ribeiro G A P,Gustavo Rigolin. Quantum correlations in spin chains at finite temperatures and quantum phase transitions[J]. Phys Rev Lett,2010,105:095702(1-4).
[17]Werlang T,Ribeiro G A P,Gustavo Rigolin. Spotlighting quantum critical points via quantum correlations at finite temperatures[J]. Phys Rev A,2011,83:62334(1-10).
[18]Li Yanchao,Lin Haiqing. Thermal quantum and classical correlations and entanglement in the XY spin model with three-spin interaction[J]. Phys Rev A,2011,83:052323(1-7).
[19]Altintas F,Eryigit R. Correlation and nonlocality measures as indicators of quantum phase transitions in several critical systems[J]. Annals of Physics,2012,327:3 084-3 107.
[20]Cheng W W,Shan C J,Sheng Y B,et al. Quantum correlation approach to criticality in the XX spin chain with multiple interaction[J]. Physica B,2012,407:3 671-3 675.
[21]Liu Benqiong,Shao Bin,Zou Jian. Quantum and classical correlations in isotropic XY chain with three-site interaction[J]. Commm Theor Phys,2011,56:46-50.
[22]Cheng W W,Liu J M. Fidelity susceptibility approach to quantum phase transitions in the XY spin chain with multisite interactions[J]. Phys Rev A,2010,82:012308(1-5).
[23]Liu Xiaoxian,Zhong Ming,Xu Hui,et al. Chiral phase and quantum phase transitions of anisotropic XY chains with three-site interactions[J]. J Stat Mech,2012,1:P01003(1-15).
[24]Ping Lou,Wen-Chin Wu,Ming-Che Chang. Quantum phase transition in spin-1/2 XX Heisenberg chain with three-spin interaction[J]. Phys Rev B,2004,70:064405(1-7).
[25]Gottlieb D,Rössler J. Exact solution of a spin chain with binary and ternary interactions of Dzialoshinsky-Moriya type[J]. Phys Rev B,1999,60:9 232-9 235.
[26]Min-Fong Yang. Reexamination of entanglement and the quantum phase transition[J]. Phys Rev A,2005,71:030302(1-4).
[27]Topilko M,Krokhmalskii T,Derzhko O,et al. Magnetocaloric effect in spin-1/2 XX chains with three-spin interactions[J]. The European Physical Journal:B,2012,85:278(1-9).
[28]Osborne T J,Nielsen M A. Entanglement in a simple quantum phase transition[J]. Phys Rev A,2002,66:032110(1-14).

相似文献/References:

[1]刘小贤,钟鸣,陈波.具有三自旋相互作用的横场中各向异性XY模型的协作参量[J].南京师大学报(自然科学版),2012,35(04):25.
 Liu Xiaoxian,Zhong Ming,Chen Bo.Concurrence of Anisotropic XY Chains With Three-Site Interactions[J].Journal of Nanjing Normal University(Natural Science Edition),2012,35(02):25.

备注/Memo

备注/Memo:
收稿日期:2014-04-30.
基金项目:国家自然科学基金(11205090).
通讯联系人:类淑国,讲师,研究方向:量子信息与量子相变. E-mail:sglei@njteh.edu.cn
更新日期/Last Update: 2015-06-30