Scaling of entanglement entropy for spin chain with Dzyaloshinskii–Moriya interaction

doi:10.1088/1674-1056/20/2/020306

中国物理B ›› 2011, Vol. 20 ›› Issue (2): 20306-020306.doi: 10.1088/1674-1056/20/2/020306

Scaling of entanglement entropy for spin chain with Dzyaloshinskii–Moriya interaction

杜龙, 侯净敏, 丁伽焱, 张文新, 田志, 陈婷婷

Department of Physics, Southeast University, Nanjing 211189, China

收稿日期:2010-04-28 修回日期:2010-09-09 出版日期:2011-02-15 发布日期:2011-02-15
基金资助:
Project supported by the Teaching and Research Foundation for the Outstanding Young Faculty of Southeast University.

Scaling of entanglement entropy for spin chain with Dzyaloshinskii–Moriya interaction

Du Long(杜龙),Hou Jing-Min(侯净敏)^†,Ding Jia-Yan(丁伽焱), Zhang Wen-Xin(张文新),Tian Zhi(田志),and Chen Ting-Ting(陈婷婷)

Department of Physics, Southeast University, Nanjing 211189, China

Received:2010-04-28 Revised:2010-09-09 Online:2011-02-15 Published:2011-02-15
Supported by:
Project supported by the Teaching and Research Foundation for the Outstanding Young Faculty of Southeast University.

摘要/Abstract

摘要： This paper investigates the entanglement in an XX-type spin chain with Dzyaloshinskii---Moriya interaction under an external magnetic field. The von Neumann entropy of entanglement between two blocks for the ground state of the system is evaluated. It analyses and discusses the scaling behaviour of the entanglement entropy.

Abstract: This paper investigates the entanglement in an XX-type spin chain with Dzyaloshinskii——Moriya interaction under an external magnetic field. The von Neumann entropy of entanglement between two blocks for the ground state of the system is evaluated. It analyses and discusses the scaling behaviour of the entanglement entropy.

Key words: entanglement, scaling, spin chain, Dzyaloshinskii–Moriya interaction

中图分类号: (Entanglement measures, witnesses, and other characterizations)

03.67.Mn

75.10.Jm (Quantized spin models, including quantum spin frustration)

杜龙, 侯净敏, 丁伽焱, 张文新, 田志, 陈婷婷. Scaling of entanglement entropy for spin chain with Dzyaloshinskii–Moriya interaction[J]. 中国物理B, 2011, 20(2): 20306-020306.

Du Long(杜龙),Hou Jing-Min(侯净敏),Ding Jia-Yan(丁伽焱), Zhang Wen-Xin(张文新),Tian Zhi(田志),and Chen Ting-Ting(陈婷婷) . Scaling of entanglement entropy for spin chain with Dzyaloshinskii–Moriya interaction[J]. Chin. Phys. B, 2011, 20(2): 20306-020306.

参考文献 26

[1]	Greenberger D, Hentschel K and Weinert F 2009 Compendium of Quantum Physics (Berlin, Heidelberg: Springer)
[2]	Pasquale F D and Giorgi G L 2008 Euro. Phys. J. Special Topics 160 139
[3]	Petz D 2008 Quantum Information Theory and Quantum Statistics (Berlin, Heidelberg: Springer)
[4]	Di'osi L 2007 A Short Course in Quantum Information Theory (Berlin, Heidelberg: Springer)
[5]	Loss D and Divincezo D P 1998 Phys. Rev. A 57 120
[6]	Taylor J M, Dür W, Zoller P, Yacoby A, Marcus C M and Lulin M D 2005 Phys. Rev. Lett. 94 236803
[7]	Braun D 2002 Phys. Rev. Lett. 89 277901
[8]	Osborne T J and Nielsen M A 2002 Phys. Rev. A 66 032110
[9]	Osterloh A, Amico L, Falci G and Fazi R 2002 Nature 416 608
[10]	Wu L A, Sarandy M S and Lidar D A 2004 Phys. Rev. Lett. 93 2500404
[11]	Shan C J, Cheng W W, Liu T K, Huang Y X and Li H 2008 Chin. Phys. B 17 4002
[12]	Wang C L, Yan J Y and Yi X X 2010 Chin. Phys. B 19 0405012
[13]	Vidal G, Latorre J I, Rico E and Kitaev A 2003 Phys. Rev. Lett. 90 227902
[14]	Latorre J I, Rico E and Vidal G 2004 Quantum Inform. Comput. 4 48
[15]	Laflorencie N 2005 Phys. Rev. B 72 140408(R)
[16]	Jin B and Korepin V E 2004 J. Stat. Phys. 116 79
[17]	Latorre and Riera A 2009 J. Phys. A 42 504002
[18]	Zhao J Z, Wang X Q, Xiang T, Su Z B and Yu L 2003 Phys. Rev. Lett. 90 207204
[19]	Rubinstein M, Shraiman B and Nelson D R 1983 Phys. Rev. B 27 1800
[20]	Coffey D, Rice T M and Zhang F C 1991 Phys. Rev. B 44 10112
[21]	Sergienko I A and Dagotto E 2006 Phys. Rev. B 73 094434
[22]	Aky"uz C, Aydiner E and M"ustecapliouglu "O E 2008 Opt. Commum. 281 5271
[23]	Qin M, Xu S L, Tao Y J and Tian D P 2008 Chin. Phys. B 17 2800
[24]	Fradkin E 1989 Phys. Rev. Lett. 63 322
[25]	Jozsa R and Schlienz J 2000 Phys. Rev. A 62 012301
[26]	Rajagopal A K 1995 Phys. Rev. Lett. 74 1048

Scaling of entanglement entropy for spin chain with Dzyaloshinskii–Moriya interaction

Scaling of entanglement entropy for spin chain with Dzyaloshinskii–Moriya interaction

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 26

相关文章 15

Metrics

本文评价

推荐阅读 0

[1]	Qi Sun(孙琪), Tao Li(李陶), Zhi-Xiang Jin(靳志祥), and Deng-Feng Liang(梁登峰). Unified entropy entanglement with tighter constraints on multipartite systems[J]. 中国物理B, 2023, 32(3): 30304-030304.
[2]	Qing-Yun Zhou(周晴云), Xiao-Gang Fan(范小刚), Fa Zhao(赵发), Dong Wang(王栋), and Liu Ye(叶柳). Transformation relation between coherence and entanglement for two-qubit states[J]. 中国物理B, 2023, 32(1): 10304-010304.
[3]	A-Peng Liu(刘阿鹏), Liu-Yong Cheng(程留永), Qi Guo(郭奇), Shi-Lei Su(苏石磊), Hong-Fu Wang(王洪福), and Shou Zhang(张寿). Direct measurement of two-qubit phononic entangled states via optomechanical interactions[J]. 中国物理B, 2022, 31(8): 80307-080307.
[4]	Cheng Xiang(向成), Shan-Shan Li(李珊珊), Sha-Sha Wen(文莎莎), and Shao-Hua Xiang(向少华). Alternative non-Gaussianity measures for quantum states based on quantum fidelity[J]. 中国物理B, 2022, 31(3): 30306-030306.
[5]	Qian Dong(董茜), R. Santana Carrillo, Guo-Hua Sun(孙国华), and Shi-Hai Dong(董世海). Tetrapartite entanglement measures of generalized GHZ state in the noninertial frames[J]. 中国物理B, 2022, 31(3): 30303-030303.
[6]	Lian-Wu Yang(杨连武) and Yun-Jie Xia(夏云杰). Quantifying coherence with dynamical discord[J]. 中国物理B, 2021, 30(12): 120304-120304.
[7]	Edwige Carole Fosso, Fridolin Tchangnwa Nya, Lionel Tenemeza Kenfack, and Martin Tchoffo. Effects of classical random external field on the dynamics of entanglement in a four-qubit system[J]. 中国物理B, 2021, 30(11): 110310-110310.
[8]	Yan Hong(宏艳), Xianfei Qi(祁先飞), Ting Gao(高亭), and Fengli Yan(闫凤利). Detection of the quantum states containingat most k-1 unentangled particles[J]. 中国物理B, 2021, 30(10): 100306-100306.
[9]	Jia-Bin Zhang(张嘉斌), Zhi-Xiang Jin(靳志祥), Shao-Ming Fei(费少明), and Zhi-Xi Wang(王志玺). Optimized monogamy and polygamy inequalities for multipartite qubit entanglement[J]. 中国物理B, 2021, 30(10): 100310-100310.
[10]	Shang-Bin Han(韩尚斌), Shuai-Jie Li(李帅杰), Jing-Jun Zhang(张精俊), and Jun Feng(冯俊). Fine-grained uncertainty relation for open quantum system[J]. 中国物理B, 2021, 30(6): 60315-060315.
[11]	Xin-Feng Jin(金鑫锋), Li-Zhen Jiang(蒋丽珍), and Xiao-Yu Chen(陈小余). Entanglement properties of GHZ and W superposition state and its decayed states[J]. 中国物理B, 2021, 30(6): 60301-060301.
[12]	Shuhong Hao(郝树宏), Xiaowei Deng(邓晓玮), Yang Liu(刘阳), Xiaolong Su(苏晓龙), Changde Xie(谢常德), and Kunchi Peng(彭堃墀). Quantum computation and error correction based on continuous variable cluster states[J]. 中国物理B, 2021, 30(6): 60312-060312.
[13]	. [J]. 中国物理B, 2021, 30(3): 30308-.
[14]	. [J]. 中国物理B, 2021, 30(3): 34205-.
[15]	. [J]. 中国物理B, 2021, 30(2): 20302-0.