Please wait a minute...
Chin. Phys. B, 2008, Vol. 17(3): 794-800    DOI: 10.1088/1674-1056/17/3/010
GENERAL Prev   Next  

Entanglement control in one-dimensional s=1/2 random XY spin chain

Shan Chuan-Jia(单传家)a), Cheng Wei-Wen(程维文)a), Liu Tang-Kun(刘堂昆)a), Huang Yan-Xia(黄燕霞)a), Li Hong(李宏)a), and Xia Yun-Jie(夏云杰)b)
a Department of Physics, Hubei Normal University, Huangshi 435002, China; b College of Physics and Engineering, Qufu Normal University, Qufu 273165, China
Abstract  The entanglement in one-dimensional random XY spin systems where the impurities of exchange couplings and the external magnetic fields are considered as random variables is investigated by solving the different spin--spin correlation functions and the average magnetization per spin. The entanglement dynamics near particular locations of the system is also studied when the exchange couplings (or the external magnetic fields) satisfy three different distributions (the Gaussian distribution, double-Gaussian distribution, and bimodal distribution). We find that the entanglement can be controlled by varying the strength of external magnetic field and the distributions of impurities. Moreover, the entanglement of some nearest-neighbouring qubits can be increased for certain parameter values of the three different distributions.
Keywords:  the entanglement      spin chain      spin--spin correlation function      Gaussian distribution  
Received:  09 June 2007      Revised:  24 September 2007      Accepted manuscript online: 
PACS:  75.10.Pq (Spin chain models)  
  75.10.Jm (Quantized spin models, including quantum spin frustration)  
  75.30.Et (Exchange and superexchange interactions)  
  75.30.Hx (Magnetic impurity interactions)  
  75.60.Ej (Magnetization curves, hysteresis, Barkhausen and related effects)  
Fund: Project supported by the Key Higher Education Program of Hubei Province, China (Grant No Z20052201), Natural Science Foundation of Hubei Province, China (Grant No 2006ABA055) and Postgraduate Program of Hubei Normal University of China (Grant No 2007D20).

Cite this article: 

Shan Chuan-Jia(单传家), Cheng Wei-Wen(程维文), Liu Tang-Kun(刘堂昆), Huang Yan-Xia(黄燕霞), Li Hong(李宏), and Xia Yun-Jie(夏云杰) Entanglement control in one-dimensional s=1/2 random XY spin chain 2008 Chin. Phys. B 17 794

[1] Exact surface energy and elementary excitations of the XXX spin-1/2 chain with arbitrary non-diagonal boundary fields
Jia-Sheng Dong(董家生), Pengcheng Lu(路鹏程), Pei Sun(孙佩), Yi Qiao(乔艺), Junpeng Cao(曹俊鹏), Kun Hao(郝昆), and Wen-Li Yang(杨文力). Chin. Phys. B, 2023, 32(1): 017501.
[2] Low-temperature heat transport of the zigzag spin-chain compound SrEr2O4
Liguo Chu(褚利国), Shuangkui Guang(光双魁), Haidong Zhou(周海东), Hong Zhu(朱弘), and Xuefeng Sun(孙学峰). Chin. Phys. B, 2022, 31(8): 087505.
[3] Detection of multi-spin interaction of a quenched XY chain by the average work and the relative entropy
Xiu-Xing Zhang(张修兴), Fang-Jv Li(李芳菊), Kai Wang(王凯), Jing Xue(薛晶), Guang-Wen Huo(霍广文), Ai-Ping Fang(方爱平), and Hong-Rong Li(李宏荣). Chin. Phys. B, 2021, 30(9): 090504.
[4] Exact solution of an integrable quantum spin chain with competing interactions
Jian Wang(王健), Yi Qiao(乔艺), Junpeng Cao(曹俊鹏), and Wen-Li Yang(杨文力). Chin. Phys. B, 2021, 30(11): 117501.
[5] Role of the spin anisotropy of the interchain interaction in weakly coupled antiferromagnetic Heisenberg chains
Yuchen Fan(樊宇辰), Rong Yu(俞榕). Chin. Phys. B, 2020, 29(5): 057505.
[6] Applicability of coupling strength estimation for linear chains of restricted access
He Feng(冯赫), Tian-Min Yan(阎天民), Yuhai Jiang(江玉海). Chin. Phys. B, 2020, 29(3): 030305.
[7] Dyson-Maleev theory of an X X Z ferrimagnetic spin chain with single-ion anisotropy
Yu-Ge Chen(陈宇戈), Yin-Xiang Li(李殷翔), Li-Jun Tian(田立君), Bin Chen(陈斌). Chin. Phys. B, 2018, 27(12): 127501.
[8] Exact solutions of an Ising spin chain with a spin-1 impurity
Xuchu Huang(黄旭初). Chin. Phys. B, 2017, 26(3): 037501.
[9] Quantum correlations dynamics of three-qubit states coupled to an XY spin chain:Role of coupling strengths
Shao-Ying Yin(尹少英), Qing-Xin Liu(刘庆欣), Jie Song(宋杰), Xue-Xin Xu(许学新), Ke-Ya Zhou(周可雅), Shu-Tian Liu(刘树田). Chin. Phys. B, 2017, 26(10): 100501.
[10] Optimal quantum parameter estimation of two-qutrit Heisenberg XY chain under decoherence
Hong-ying Yang(杨洪应), Qiang Zheng(郑强), Qi-jun Zhi(支启军). Chin. Phys. B, 2017, 26(1): 010601.
[11] Schwinger-boson approach to anisotropy ferrimagnetic chain with bond alternation
Li Yin-Xiang (李殷翔), Chen Bin (陈斌). Chin. Phys. B, 2015, 24(2): 027502.
[12] Non-Markovianity of the Heisenberg XY spin environment with Dzyaloshinskii-Moriya interaction
Xiang Jun-Dong (项俊东), Qin Li-Guo (秦立国), Tian Li-Jun (田立君). Chin. Phys. B, 2014, 23(11): 110305.
[13] Induced modification of geometric phase of a qubit coupled to an XY spin chain by the Dzyaloshinsky–Moriya interaction
Zhang Ai-Ping (张爱萍), Li Fu-Li (李福利). Chin. Phys. B, 2013, 22(3): 030308.
[14] An improved deconvolution method for X-ray coded imaging in inertial confinement fusion
Zhao Zong-Qing (赵宗清), He Wei-Hua (何卫华), Wang Jian (王剑), Hao Yi-Dan (郝轶丹), Cao Lei-Feng (曹磊峰), Gu Yu-Qiu (谷渝秋), Zhang Bao-Han (张保汉). Chin. Phys. B, 2013, 22(10): 104202.
[15] Investigation of inhomogeneous barrier height of Au/Bi4Ti3O12/n-Si structure through Gaussian distribution of barrier height
M. Gökcen, M. Yildirim. Chin. Phys. B, 2012, 21(12): 128502.
No Suggested Reading articles found!