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本文研究单分子磁体Na9[Cu3Na3(H2O)9 (α-AsW9O33)2]·26H2O中三角自旋 环在磁场作用下的热纠缠性质, 利用数值计算求出任意两个Cu2+离子量子比特之间的配对纠缠度, 分别记为C12, C23和C13. 研究结果表明, 磁场的方向和大小以及温度对配对纠缠度具有重要影响, 而且参数的变化对C12, C23和C13的影响也是各不相同. 给出外加三个不同方向的磁场时, 配对纠缠度C12, C23和C13各自对应的临界温度Tc随磁场强度的变化图, 由此可以得到单分子磁体三角自旋环中存在纠缠态的参数范围. 通过选择适当的磁场方向和大小以及温度等实验参数, 可以有效地调节和提高单分子磁体中的配对纠缠度.
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[1] Arnesen M C, Bose S, Vedral V 2001 Phys. Rev. Lett. 87 017901
[2] Wang X G 2001 Phys. Rev. A 64 012313
[3] Wang X G 2001 Phys. Lett. A 281 101
[4] Wang X G 2002 Phys. Rev. A 66 034302
[5] Zhang G F, Li S S 2005 Phys. Rev. A 72 034302
[6] Sun Y, Chen Y, Chen H 2003 Phys. Rev. A 68 044301
[7] Zhang Y L, Zhou B 2011 Acta Phys. Sin. 60 120301 (in Chinese) [张英丽, 周斌 2011 物理学报 60 120301]
[8] 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 物理学报 55 3026]
[9] Cao M, Zhu S Q 2005 Phys. Rev. A 71 034311
[10] Wu K D, Zhou B, Cao W Q 2007 Phys. Lett. A 362 381
[11] Cao M, Zhu S Q 2006 Chin. Phys. Lett. 23 2888
[12] Li D C, Wang X P, Cao Z L 2008 J. Phys.: Condens. Matter 20 325229
[13] Pan H Z, Kuang L M 2004 Chin. Phys. Lett. 21 424
[14] Xi X Q, Chen W X, Yue R H 2002 Chin. Phys. Lett. 19 1044
[15] Lu P, Wang J S 2009 Acta Phys. Sin. 58 5955 (in Chinese) [卢鹏, 王顺金 2009 物理学报 58 5955]
[16] Ren J Z, Shao X Q, Zhang S, Yeon K H 2010 Chin. Phys. B 19 100307
[17] Zhou L, Song H S, Guo Y Q, Li C 2003 Phys. Rev. A 68 024301
[18] Zhang T, Xi X Q, Yue R H 2004 Acta Phys. Sin. 53 2755 (in Chinese) [张涛, 惠小强, 岳瑞宏 2004 物理学报 53 2755]
[19] Wang Y H, Xia Y J 2009 Acta Phys. Sin. 58 7479 (in Chinese) [王彦辉, 夏云杰 2009 物理学报 58 7479]
[20] Hu Z N, Yi K S, Park K S 2007 J. Phys. A: Math. Theor. 40 7283
[21] Luczak J, Bulka B R 2012 J. Phys.: Condens. Matter 24 375303
[22] Zhou B 2011 Int. J. Mod. Phys. B 25 2135
[23] Hou J M, Du L, Ding J Y, Zhang W X 2010 Chin. Phys. B 19 110313
[24] Qin M, Tian D P, Tao Y J 2008 Acta Phys. Sin. 57 5395 (in Chinese) [秦猛, 田东平, 陶应娟 2008 物理学报 57 5395]
[25] Zheng Q, Zhang X P, Zhi Q J, Ren Z Z 2009 Chin. Phys. B 18 3210
[26] Thomas L, Lionti F, Ballou R, Gatteschi D, Sessoli R, Barbara B 1996 Nature 383 145
[27] Wernsdorfer W, Sessoli R 1999 Science 284 133
[28] Kortz U, Nellutla S, Stowe A C, Dalal N S, Rauwald U, Danquah W, Ravot D 2004 Inorg. Chem. 43 2308
[29] Stowe A C, Nellutla S, Dalal N S, Kortz U 2004 Eur. J. Inorg. Chem. 19 3792
[30] Choi K Y, Matsuda Y H, Nojiri H, Kortz U, Hussain F, Stowe A C, Ramsey C, Dalal N S 2006 Phys. Rev. Lett. 96 107202
[31] Bogani L, Wernsdorfer W 2008 Nature Mater. 7 179
[32] Leuenberger M N, Loss D 2001 Nature 410 789
[33] Zhou B, Tao R B, Shen S Q, Liang J Q 2002 Phys. Rev. A 66 010301
[34] Meier F, Levy J, Loss D 2003 Phys. Rev. B 68 134417
[35] Troiani F, Ghirri A, Affronte M, Carretta S, Santini P, Amoretti G, Piligkos S, Timco G, Winpenny R E P 2005 Phys. Rev. Lett. 94 207208
[36] Lehmann J, Gaita-Ariño A, Coronado E, Loss D 2007 Nature Nanotech. 2 312
[37] Trif M, Troiani F, Stepanenko D, Loss D 2008 Phys. Rev. Lett. 101 217201
[38] Kortz U, Al-Kassem N K, Savelieff M G, Kadi N A A, Sadakane M 2001 Inorg. Chem. 40 4742
[39] Hill S, Wootters W K 1997 Phys. Rev. Lett. 78 5022
[40] Wootters W K 1998 Phys. Rev. Lett. 80 2245
[41] Coffman V, Kundu J, Wootters W K 2000 Phys. Rev. A 61 052306
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