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应用 Von Neumann熵 和 Schmidt number K两种纠缠度量讨论了各向异性光子晶体中二能级原子和自发辐射场间纠缠度的演化性质. 研究发现,原子-光场纠缠度的演化与原子上能级和光子晶体能带带边的相对位置有关,当原子上能级处于光子晶体禁带内,原子-光场纠缠度将保持稳定,当原子上能级处于光子晶体能带中,原子-光场纠缠度先增大后衰减到零. 纠缠度的大小还与原子的初态有关. 可以通过控制原子的初态和原子上能级与带边的相对位置来控制原子-光场纠缠度的演化特性.
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关键词:
- 纠缠 /
- 光子晶体 /
- 原子熵 /
- Schmidt number K
By means of Von Neumann entropy and Schmidt number K, we study the time evolution properties of the entanglement between a two-level atom and spontaneous emission field in anisotropic photonic crystal. The evolution properties of the atom-field entanglement are directly related to the relative position of the upper level from the band edge. The atom-field entanglement can keep steady when the atomic upper level is within the band gap. The atom-field entanglement increases to the maximum value firstly and then decay to zero when the atomic upper level is within the transmitting band. The atom-field entanglement also depends on the initial state of the atom. We can control the time evolution properties of the atom-field entanglement by choosing special atomic initial state and the relative position of the upper level from the band edge.-
Keywords:
- entanglement /
- photonic crystal /
- atomic quantum entropy /
- Schmidt number K
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[2] Pereira S F , Ou Z Y ,Kimble H J 2000 Phys. Rev. A 62 042311
[3] Grover L K 1997 Phys. Rev. Lett. 79 325
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[8] Bellomo B, Franco R L, Compagno G 2007 Phys. Rev. Lett. 99 160502 Cao X F , Zheng H 2008 Phys. Rev. A 77 022320
[9] Santos M F , Milman P, Davidovich L, Zagury N 2006 Phys. Rev. A 73 040305(R) Almeida M P, de Melo F, Hor-Meyll M, Salles A , Walborn S P, Souto Ribeiro P H, Davidovich L 2007 Science 316 579
[10] Yablonovitch E 1987 Phys. Rev. Lett. 58 2059 John S 1987 Phys. Rev. Lett. 58 2486 Ho K M , Chan C T ,Soukoulis C M 1990 Phys. Rev. Lett. 65 3152 Yablonovitch E, Gmitter T J 1991 Phys. Rev. Lett. 67 2295
[11] John S, Quang T 1994 Phys. Rev. A 50 1764 Yang Y P, Zhu S Y 2000 Phys. Rev. A 62 013805 Yang Y P, Fleischhauer M , Zhu S Y 2003 Phys. Rev. A 68 043805 Zhu S Y, Chen H, Huang H 1997 Phys. Rev. Lett. 79 205 Zhu S Y, Yang Y P , Chen H , Zheng H, Zubairy M S 2000 Phys. Rev. Lett. 84 2136
[12] Wang F Q , Zhang Z M , Liang R S 2008 Phys. Rev. A 78 042320
[13] Phoenix S J D, Knight P L 1988 Ann. Phys. (N. Y.) 186 381 Phoenix S J D, Knight P L 1991 Phys. Rev. A 44 6023 Phoenix S J D, Knight P L 1991 Phys. Rev. Lett. 66 2833
[14] Grobe R, Rzazewski K, Eberly J H 1994 J. Phys. B 27 L503 Nielsen M A, Chuang I L 2000 Quantum Computation and Quantum Information (Cambridge,Cambridge University Press) P101
[15] Yang Y P, Zhu S Y 2000 Phys. Rev. A 62 013805
[16] Araki H, Lieb E 1970 Commun. Math. Phys. 18 160
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[1] Einstein A, Podolsky B, Rosen N 1935 Phys. Rev. 47 777
[2] Pereira S F , Ou Z Y ,Kimble H J 2000 Phys. Rev. A 62 042311
[3] Grover L K 1997 Phys. Rev. Lett. 79 325
[4] Bouwmeaster D, Pan J W, Mattle K, Elbl M, Weinfurter H, Zeilinger A 1997 Nature 390 575 Bennett C H, Brassard G, Crepeau C, Jozsa R, Peres A, Wootters W K 1993 Phys. Rev. Lett. 70 1895 Zhang Q , Li F L, Li H R 2006 Acta Phys. Sin. 55 2275 (in Chinese)[张 茜、李福利、李宏荣 2006 55 2275]
[5] Deutsch D, Ekert A, Jozsa R, Macchiavello C, Popescu S, Sanpera A 1996 Phys. Rev. Lett. 77 2818 Ekert A K 1991 Phys. Rev. Lett. 67 661
[6] Fang M F, Zhu S Y 2006 Physica A 369 475 Cheng Q L, Xie S Y, Yang Y P 2008 Acta Phys. Sin. 57 6968 (in Chinese)[成秋丽、谢双媛、羊亚平 2008 57 6968] Guo L, Liang X T 2009 Acta Phys. Sin. 58 0050 (in Chinese)[郭 亮、梁先庭 2009 58 0050] Zhang L H, Li G X, Gan Z W 2003 Acta Phys. Sin. 52 1168 (in Chinese)[张立辉、李高翔、甘仲惟 2003 52 1168] Zhang Y J, Zhou Y,Xia Y J 2008 Acta Phys. Sin. 57 0021 (in Chinese)[张英杰、周 原、夏云杰 2008 57 0021] Huang C J, He H Y, Zhou M,Fang J Y,Huang Z H 2006 Acta Phys. Sin. 55 1764 (in Chinese)[黄春佳、贺慧勇、周 明、方家元、黄祖洪 2006 55 1764] Wang J X, Yang Z Y, An Y Y 2007 Acta Phys. Sin. 56 6420 (in Chinese)[王菊霞、杨志勇、安毓英 2007 56 6420]
[7] Yu T, Eberly J H 2004 Phys. Rev. Lett. 93 140404
[8] Bellomo B, Franco R L, Compagno G 2007 Phys. Rev. Lett. 99 160502 Cao X F , Zheng H 2008 Phys. Rev. A 77 022320
[9] Santos M F , Milman P, Davidovich L, Zagury N 2006 Phys. Rev. A 73 040305(R) Almeida M P, de Melo F, Hor-Meyll M, Salles A , Walborn S P, Souto Ribeiro P H, Davidovich L 2007 Science 316 579
[10] Yablonovitch E 1987 Phys. Rev. Lett. 58 2059 John S 1987 Phys. Rev. Lett. 58 2486 Ho K M , Chan C T ,Soukoulis C M 1990 Phys. Rev. Lett. 65 3152 Yablonovitch E, Gmitter T J 1991 Phys. Rev. Lett. 67 2295
[11] John S, Quang T 1994 Phys. Rev. A 50 1764 Yang Y P, Zhu S Y 2000 Phys. Rev. A 62 013805 Yang Y P, Fleischhauer M , Zhu S Y 2003 Phys. Rev. A 68 043805 Zhu S Y, Chen H, Huang H 1997 Phys. Rev. Lett. 79 205 Zhu S Y, Yang Y P , Chen H , Zheng H, Zubairy M S 2000 Phys. Rev. Lett. 84 2136
[12] Wang F Q , Zhang Z M , Liang R S 2008 Phys. Rev. A 78 042320
[13] Phoenix S J D, Knight P L 1988 Ann. Phys. (N. Y.) 186 381 Phoenix S J D, Knight P L 1991 Phys. Rev. A 44 6023 Phoenix S J D, Knight P L 1991 Phys. Rev. Lett. 66 2833
[14] Grobe R, Rzazewski K, Eberly J H 1994 J. Phys. B 27 L503 Nielsen M A, Chuang I L 2000 Quantum Computation and Quantum Information (Cambridge,Cambridge University Press) P101
[15] Yang Y P, Zhu S Y 2000 Phys. Rev. A 62 013805
[16] Araki H, Lieb E 1970 Commun. Math. Phys. 18 160
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