Effect of different spin-orbit interaction on thermal entanglement in high-spin system with inhomogeneous magnetic field

Abstract

Abstract: The effects of different spin-orbit interaction on entanglement of a two-qutrit Heisenberg XX system with inhomogeneous magnetic fields are investigated by means of negativity. It is found that with the increase of the DM interaction, entanglement increases at high temperature, while it fluctuates at low temperature. In general case, the entanglement of the x component DM interaction is higher than that of the z component and it is on the contrary under certain conditions. So, entanglement can be controlled by varying the directions of the DM interaction. Also quantum logic gate can be realized by using the symmetry and the transition of entanglement.

Key words: quantum optics, negativity, qutrit, spin-orbit interaction

CLC Number:

O431.2

ZHANG Xue-Min, QIN Meng, WANG Bi-Li, LIU Cui-Cui. Effect of different spin-orbit interaction on thermal entanglement in high-spin system with inhomogeneous magnetic field[J]. J4, 2014, 31(1): 75-79.

References

[1] Einstein A, Podolsky B, Rosen N. Can Quantum-Mechanical Description of Physical Reality Be Considered Complete? [J] Phys. Rev., 1935, 47:777.
[2] Su Xiaoqin, Guo Guangcan. Quantum communication and quantum computation. [J]. Chinese Journal of Quantum Electronics (量子电子学报), 2004，21 (6) ：706-718 (in Chinese).
[3] Zhang Yongde. Principles of quantum information physics. [M] 北京：科学出版社，2006.
[4] Connor K M and William K W. Entangled rings [J]. Phys. Rev. A, 2001, 63:052302
[5] Li Chunxian, Jin Lijuan, Wang Chengzhi. Thermal entanglement, mixture and quantum communication in a spin chain[J]. Chinese Journal of Quantum Electronics (量子电子学报), 2010, 27(1): 51-56 (in Chinese).
[6] Arnesen M C, Bose S, Vedral V. Natural Thermal and Magnetic Entanglement in the 1D Heisenberg Model [J]. Phys. Rev. Lett, 2001, 87:017901.
[7] Imamoglu A, Awschalom D D, Burkard G. Quantum Information Processing Using Quantum Dot Spins and Cavity QED [J]. Phys. Rev. Lett, 1999, 83: 4204-4207.
[8] Bose S. Quantum Communication through an Unmodulated Spin Chain [J]. Phys Rev Lett, 2003, 91: 207901.
[11] Cao Min, Zhu Shiqun. Thermal entanglement between alternate qubits of a four-qubit Heisenberg XX chain in a magnetic field [J]. Phys. Rev. A 2005, 71, 034311.
[12] Cao Min, Zhu Shiqun. Effects of Anisotropy on Pair-wise Entanglement of a Four-Qubit Heisenberg XXZ Chain [J]. Chin. Phys. Lett 2006 23, 2888.
[13] Zhang Rong, Zhu Shiqun. Thermal entanglement in a two-dimensional Heisenberg XY model [J]. Phys. Lett. A, 2006, 348: 110-118.
[14] Zhu Yan, Zhu Shiqun, Hao Xiang. Entanglement in an anisotropic spin-1 Heisenberg chain[J].Chinese Physics B,2007,16(8):2229-2236.
[15] Zhang Guofeng, Li Shushen. Entanglement in a spin-one chain [J]. Solid. S. C, 2006, 138:17
[16] Hu Jie，Fang Jianxing,Qian Li，He Daiguo, Thermal entanglement of Ising model with Dzyaloshinskii_Moriya interaction in an inhomogeneous magnetic field. [J]. Chinese Journal of Quantum Electronics (量子电子学报), 2011, 28(3): 329-334.
[17] Vidal G, Werner R. F. Computable measure of entanglement [J]. Phys. Rev. A, 2002, 65:032314.
[18] Qin Meng, Tao Yingjuan. Hu Mingliang, Tian Dongping. Entanglement in spin-1 Heisenberg XXZ chain[J]. Chinese Journal of Quantum Electronics (量子电子学报), 2008, 25(3): 302-306 (in Chinese).

[1]	CHEN Liying , HUANG Kun , WANG Qi , YAN Shinong . Design of an integrated vibration detection module based on diamond NV color centers [J]. Chinese Journal of Quantum Electronics, 2023, 40(4): 500-509.
[2]	BAI Hailong , BAI Jinhai , HU Dong , WANG Yu . Design and implementation of a compact microwave synthesizer for atomic interference gravimeter [J]. Chinese Journal of Quantum Electronics, 2023, 40(4): 510-518.
[3]	LI Songsong. Effects of three-body and four-body interactions on spin squeezing and quantum entanglement in Bose-Einstein condensates [J]. Chinese Journal of Quantum Electronics, 2023, 40(4): 519-527.
[4]	LI Yan , . Correlation properties of Bose⁃Fermi mixture with one⁃dimensional strong interaction [J]. Chinese Journal of Quantum Electronics, 2023, 40(4): 528-540.
[5]	WANG Sheng , FANG Xiaoming , LIN Yu , ZHANG Tianbing , FENG Bao , YU Yang , WANG Le . Four-intensity decoy-state phase-matching quantum key distribution [J]. Chinese Journal of Quantum Electronics, 2023, 40(4): 541-545.
[6]	SUN Yishi , SUN Yi . Parameter prediction of classical-quantum signals co-fiber transmission system based on BP neural network [J]. Chinese Journal of Quantum Electronics, 2023, 40(4): 546-559.
[7]	QI Zhiming , LIANG Wenyao . Influence of beam polarizations on holographic fabrication of compound photonic crystals [J]. Chinese Journal of Quantum Electronics, 2023, 40(4): 447-457.
[8]	HE Yefeng , , LI Lina ∗ , BAI Qian , CHEN Sihao , QIANG Yuwei . Quantum key distribution of detector’s dead time in heralded single photon source [J]. Chinese Journal of Quantum Electronics, 2023, 40(1): 112-119.
[9]	TAN Zhijie , YANG Hairui , , YU Hong , , HAN Shensheng , ∗. Progress on X-ray diffraction imaging via intensity correlation [J]. Chinese Journal of Quantum Electronics, 2022, 39(6): 851-862.
[10]	LIN Huizu , ∗ , LIU Weitao , ∗ , SUN Shuai , , DU Longkun , , CHANG Chen , , LI Yuegang , . Progress of algorithms used in ghost imaging [J]. Chinese Journal of Quantum Electronics, 2022, 39(6): 863-879.
[11]	WANG Xiaoyan, WANG Zhiyuan, CHEN Ziyang, PU Jixioing ∗. Detection of orbital angular momentum of multiple vortices from speckle via deep learning [J]. Chinese Journal of Quantum Electronics, 2022, 39(6): 955-961.
[12]	LI Nengfei , SUN Yusong , , HUANG Jian , ∗. Research on cosine encoded multiplexing high spatial resolution ghost imaging [J]. Chinese Journal of Quantum Electronics, 2022, 39(6): 973-982.
[13]	DAI Pan, PANG Zhiguang, LI Jian, WANG Qin ∗. Nonlinear Bell inequality based on entanglement sources [J]. Chinese Journal of Quantum Electronics, 2022, 39(5): 761-767.
[14]	ZHOU Xiantao, JIANG Yinghua ∗ , GUO Chenfei, ZHAO Ning, LIU Biao. Quantum secure direct communication protocol based on mixture of GHZ particles and single photon [J]. Chinese Journal of Quantum Electronics, 2022, 39(5): 768-775.
[15]	LI Tianxiu, SHI Lei ∗ , WANG Junhui, LI Jiahao. Prediction of atmospheric attenuation coeﬃcient of quantum signal based on deep learning [J]. Chinese Journal of Quantum Electronics, 2022, 39(5): 786-794.