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The spontaneous emission of a two-level atom, located in an isotropic photonic crystal with dynamically modulated photonic band edge, has been studied. When the photonic band edge is modulated with step functions or triangle functions, the evolution of atomic population on the upper level has been discussed. When the photonic band edge is modulated with step functions, the dynamics of atomic population depends not only on the detuning value of the atomic transition frequency from the band edge, but also on the time point of stepping. With the different time point of stepping, the dynamics of atomic population after stepping is different. When the photonic band edge is modulated with triangle functions, the atomic population oscillates quasi-periodically while decaying in general. The oscillation frequency, peak and valley values, and the decaying rate of oscillation can be modulated by choosing the frequency and initial phase of triangle functions.
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Keywords:
- photonic crystal /
- dynamically /
- two-level atom /
- spontaneous emission
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[1] Purcell E M 1946 Phys. Rev. 69 681
[2] Yablonovitch E 1987 Phys. Rev. Lett. 58 2059
[3] John S 1987 Phys. Rev. Lett. 58 2486
[4] Tarhan I I, Watson G H 1996 Phys. Rev. Lett. 76 315
[5] John S 1984 Phys. Rev. Lett. 53 2169
[6] John S, Wang J 1991 Phys. Rev. B 43 12772
[7] John S, Wang J 1990 Phys. Rev. Lett. 64 2418
[8] Zhu S Y, Chen H, Huang H 1997 Phys. Rev. Lett. 79 205
[9] John S, Quang T 1994 Phys. Rev. A 50 1764
[10] Quang T, Woldeyohannes M, John S 1997 Phys. Rev. Lett. 79 5238
[11] Yang Y P, Zhu S Y 2000 Phys. Rev. A 61 043809
[12] Lin Z X, Xie S Y, Yang Y P, Feng W G, Wu X 1999 Acta. Phys. Sin. 48 603 (in Chinese) [林志新, 谢双媛, 羊亚平, 冯伟国, 吴翔 1999 48 603]
[13] Xie S Y, Lin Z X, Yang Y P, Wu X 1999 Acta. Phys. Sin. 48 1459(in Chinese)[谢双媛, 林志新, 羊亚平, 吴翔 1999 48 1459]
[14] Xie S Y, Yang Y P, Wu X 2001 Eur. Phys. J. D 13 129
[15] Wang X H, Gu B Y 2005 Physics 34 18 (in Chinese) [王雪华, 顾本源 2005 物理 34 18]
[16] Zhang Y H, Qiu X J, Li H Q, Chen H 2001 Physics 30 616 (in Chinese) [张拥华, 仇欣杰, 李宏强, 陈鸿 2001 物理 30 616]
[17] Zhou C Z, Xiong Z G, Li Z Y 2009 Chin. Phys. Lett. 26 094201
[18] Xia J B 2003 Physics 32 693 (in Chinese) [夏建白 2003 物理 32 693]
[19] Jia T Q, Chen H, Li H Q, Li R X, Xu Z Z 2002 Acta. Phys. Sin. 51 456 (in Chinese) [贾天卿, 陈鸿, 李宏强, 李儒新, 徐至展 2002 51 456]
[20] Wu K, Wei T B, Lan D, Zheng H Y, Wang J X, Luo Y, Li J M 2014 Chin. Phys. B 23 028504
[21] Liu J T, Zhou Y S, Wang F H, Gu B Y 2005 Chin. Phys. 14 2474
[22] Liu S Y, Du J J, Lin Z F, Wu R X, Chui S T 2008 Phys. Rev. B 78 155101
[23] Figotin A, Godin Y A, Vitebsky I 1998 Phys. Rev. B 57 2841
[24] Chelnokov A, Rowson S, Lourtioz J M, Duvillaret L 1998 Electron. Lett. 34 1965
[25] Busch K, John S 1999 Phys. Rev. Lett. 83 967
[26] Halevi P, Ramos-Mendieta F 2000 Phys. Rev. Lett. 85 1875
[27] Ozaki R, Matsui T, Ozaki M, Yoshino K 2003 Appl. Phys. Lett. 82 3593
[28] Xu C, Hu X H, Li Y Z, Liu X H, Fu R T, Zi J 2003 Phys. Rev. B 68 193201
[29] Law C K, Zhu S Y, Zubariry M S 1995 Phys. Rev. A 52 4095
[30] Pisipati U, Almakrami I M, Joshi A, Serna J D 2012 Am. J. Phys. 80 612
[31] Jia F, Xie S Y, Yang Y P 2006 Acta. Phys. Sin. 55 5835 (in Chinese) [贾飞, 谢双媛, 羊亚平 2006 55 5835]
[32] Yang Y P, Xu J P, Li G X, Chen H 2004 Phys. Rev. A 69 053406
[33] Xu J P, Yang Y P 2004 Acta. Phys. Sin. 53 2139 (in Chinese) [许静平, 羊亚平 2004 53 2139]
[34] Kofman A G, Kurizki G 2001 Phys. Rev. Lett. 87 270405
[35] Linington I E, Garraway B M 2006 J. Phys. B: At. Mol. Opt. Phys. 39 3383
[36] Linington I E, Garraway B M 2008 Phys. Rev. A 77 033831
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