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Using the Milburn equation, we have studied the properties of the entanglement and fidelity dynamics in a spin system with different Dzyaloshinskii-Moriya interaction and magnetic field in detail. Effects of different Dzyaloshinskii-Moriya interaction, different magnetic fields, and the initial states on the entanglement and fidelity are discussed. Results show that entanglement decoherence can be suppressed by inhomogeneous magnetic fields. Initial state affects greatly the entanglement, and a proper entanglement can be obtained by adjusting the directions of Dzyaloshinskii-Moriya interaction. For a particular initial state, an optimal fidelity is obtained by changing the direction of the Dzyaloshinskii-Moriya interaction. Moreover, no matter how homogeneous or inhomogeneous the magnetic fields are, they cannot enhance the fidelity. The dependence of entanglement and fidelity on the angle of initial state shows periodicity. Hence we can select an optimal initial state for a specific condition according to requirement.
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Keywords:
- intrinsic decoherence /
- entanglement /
- different Dzyaloshinskii-Moriya interaction /
- fidelity
[1] Einstein A, Podolsky B, Rosen N 1935 Phys. Rev. 47 777
[2] Mattle K, Weinfurter H, Kwiat P G, Zeilinger A 1996 Phys. Rev. Lett. 76 4656-4659
[3] Schumacher B 1995 Phys. Rev. A 51 2738
[4] Kim Y H, Kulik S P, Shih Y 2001 Phys. Rev. Lett. 86 1370
[5] Ekert A K 1991 Phys. Rev. Lett. 67 661
[6] Deutsch D, Ekert A, Jozsa R, Macchiavello C, Popescu S S 1996 Phys. Rev. Lett. 77 2818
[7] Verstraete F, Martin-Delgado M A, Cirac J I 2004 Phys. Rev. Lett. 92 087201
[8] Zhang G F, Li S S 2005 Phys. Rev. A 72 034302
[9] Xi X Q, Chen W X, Liu Q, Yue R H 2006 Acta Phys. Sin. 55 3026 (in Chinese)[惠小强, 陈文学, 刘起, 岳瑞宏 2006 55 3026]
[10] Shan C J, Chen W W, liuT K, Huang Y X, Li H 2008 Acta Phys. Sin. 57 2687 (in Chinese)[单传家, 程维文, 刘堂昆, 黄燕霞, 李宏 2008 57 2687]
[11] Zhang G F 2007 Phys. Rev. A 75 034304
[12] Kheirandish F, Akhtarshenas S J, Mohammadi H 2008 Phys. Rev. A 77 042309
[13] Derzhko O, Richter J 1999 Phys. Rev. B 59 100
[14] Li Y C, Li S S 2009 Phys. Rev. A 79 032338
[15] Qin M, Bai Z, Li Y B, Lin S J 2011 Opt. Commun. 284 3149
[16] Li D C, Cao Z L 2008 Eur. Phys. J. D 50 207
[17] Li D C, Wang X P, Cao Z L 2008 J. Phys. 20 32522
[18] Jiang C L, Liu X J, Liu M W, Wang Y H, Peng Z H 2012 Acta Phys. Sin. 61 170302 (in Chinese) [姜春蕾, 刘晓娟, 刘明伟, 王艳辉, 彭朝晖 2012 61 170302]
[19] Mohammadia H, Akhtarshenas S J, Kheirandish F 2011 Eur. Phys. J. D 62 439
[20] Xu X B, Liu J M, Yu P F 2008 Chin. Phys. B 17 0456
[21] Milburn G J 1991 Phys. Rev. A 44 5401
[22] Wootters W K 1998 Phys. Rev. Lett. 80 2245
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[1] Einstein A, Podolsky B, Rosen N 1935 Phys. Rev. 47 777
[2] Mattle K, Weinfurter H, Kwiat P G, Zeilinger A 1996 Phys. Rev. Lett. 76 4656-4659
[3] Schumacher B 1995 Phys. Rev. A 51 2738
[4] Kim Y H, Kulik S P, Shih Y 2001 Phys. Rev. Lett. 86 1370
[5] Ekert A K 1991 Phys. Rev. Lett. 67 661
[6] Deutsch D, Ekert A, Jozsa R, Macchiavello C, Popescu S S 1996 Phys. Rev. Lett. 77 2818
[7] Verstraete F, Martin-Delgado M A, Cirac J I 2004 Phys. Rev. Lett. 92 087201
[8] Zhang G F, Li S S 2005 Phys. Rev. A 72 034302
[9] Xi X Q, Chen W X, Liu Q, Yue R H 2006 Acta Phys. Sin. 55 3026 (in Chinese)[惠小强, 陈文学, 刘起, 岳瑞宏 2006 55 3026]
[10] Shan C J, Chen W W, liuT K, Huang Y X, Li H 2008 Acta Phys. Sin. 57 2687 (in Chinese)[单传家, 程维文, 刘堂昆, 黄燕霞, 李宏 2008 57 2687]
[11] Zhang G F 2007 Phys. Rev. A 75 034304
[12] Kheirandish F, Akhtarshenas S J, Mohammadi H 2008 Phys. Rev. A 77 042309
[13] Derzhko O, Richter J 1999 Phys. Rev. B 59 100
[14] Li Y C, Li S S 2009 Phys. Rev. A 79 032338
[15] Qin M, Bai Z, Li Y B, Lin S J 2011 Opt. Commun. 284 3149
[16] Li D C, Cao Z L 2008 Eur. Phys. J. D 50 207
[17] Li D C, Wang X P, Cao Z L 2008 J. Phys. 20 32522
[18] Jiang C L, Liu X J, Liu M W, Wang Y H, Peng Z H 2012 Acta Phys. Sin. 61 170302 (in Chinese) [姜春蕾, 刘晓娟, 刘明伟, 王艳辉, 彭朝晖 2012 61 170302]
[19] Mohammadia H, Akhtarshenas S J, Kheirandish F 2011 Eur. Phys. J. D 62 439
[20] Xu X B, Liu J M, Yu P F 2008 Chin. Phys. B 17 0456
[21] Milburn G J 1991 Phys. Rev. A 44 5401
[22] Wootters W K 1998 Phys. Rev. Lett. 80 2245
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