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The spontaneous emission spectrum of a double V-type four-level atom in a double-band photonic crystal is investigated.The double V-type atom is respectively coupled by the free vacuum modes and the photonic band gap modes.There are three types of dark lines in the spectrum: the first type originates from the quantum interference,the second type originates from the singularities of the density of states at the isotropic photonic band edges,and the third type originates from the quantum interference in the vacuum modes and zero density of states in the band-gap of photonic crystal.The causes leading to these three types of dark lines are investigated by varying the detuning of the atomic transitions from the band edge,by introducing smoothing parameter to eliminate the singularity of the density of states at the isotropic photonic band edges,and by introducing defect modes in the band gap of the photonic crystal.
[1] ［1］Zhu S Y, Chan R C F, Lee C P 1995 Phys. Rev. A 52 710
[2] ［2］Zhu S Y, Scully M O 1995 Phys. Lett. A 201 85
[3] ［3］Zhu S Y, Narducci L M, Scully M O 1995 Phys. Rev. A 52 4791
[4] ［4］Zhou P, Swain S 1997 Phys. Rev. A 56 3011
[5] ［5］Agarwal G S 1998 Phys. Rev. A 58 686
[6] ［6］Paspalakis E, Keitel C H, Knight P L 1998 Phys. Rev. A 58 4868
[7] ［7］Wu J H, Li A J, Ding Y, Zhao Y C, Gao J Y 2005 Phys. Rev. A 72 023802
[8] ［8］Li J H, Liu J B, Chen A X, Qi C C 2006 Phys. Rev. A 74 033816
[9] ［9］Li A J, Song X L, Wei X G, Wang L, Gao J Y 2008 Phys. Rev. A 77 053806
[10] ］Li Y F, Zhang X Y, Sun J F, Wang Y C 2002 Acta. Phys. Sin. 51 782 (in Chinese) ［李永放、张向阳、孙建锋、王永昌 2002 物理学报 51 782］
[11] ］Paspalakis E, Angelakis D G, Knight P L 1999 Opt. Commun. 172 229
[12] ］Angelakis D G, Paspalakis E, Knight P L 2001 Phys. Rev. A 64 013801
[13] ］Yang Y P, Zhu S Y 2000 Phys. Rev. A 62 013805
[14] ］Zhu S Y, Yang Y P, Chen H, Zheng H, Zubairy M S 2000 Phys. Rev. Lett. 84 2136
[15] ］Yang Y P, Xie S Y, Chen H, Zhu S Y, Wu X 2000 Opt. Commun. 182 349
[16] ］Yang Y P, Li G X, Chen H, Zhu S Y 2006 Opt. Commun. 265 559
[17] ］Xie S Y, Yang Y P, Wu X 2000 Acta Phys. Sin. 49 1478 (in Chinese) ［谢双媛、羊亚平、吴翔 2000 物理学报 49 1478］
[18] ］Huang X S, Yang Y P 2005 Acta. Phys. Sin. 54 4129 (in Chinese) ［黄仙山、羊亚平 2005 物理学报 54 4129］
[19] ］Huang X S, Xie S Y, Yang Y P 2006 Acta. Phys. Sin. 55 696 (in Chinese) ［黄仙山、谢双媛、羊亚平 2006 物理学报 55 696］
[20] ］Zhu S Y, Chen H, Huang H 1997 Phys. Rev. Lett. 79 205
[21] ］Yang Y P, Zhu S Y, Zubairy M S 1999 Opt. Commun. 166 79
[22] ］Yang Y P, Zhu S Y 2000 Phys. Rev. A 61 043809
[23] ］Yang Y P, Lin Z X, Zhu S Y, Chen H, Feng W G 2000 Phys. Lett. A 270 41
[24] ］Yang Y P, Zhu S Y 2000 J. Mod. Opt. 47 1513
[25] ］Yang Y P, Fleischhauer M, Zhu S Y 2003 Phys. Rev. A 68 043805
[26] ］Chen S, Xie S Y, Yang Y P, Chen H 2003 Acta. Phys. Sin. 52 853 (in Chinese)［陈三、谢双媛、羊亚平、陈鸿 2003 物理学报 52 853］
[27] ］Zhang H Z, Tang S H, Dong P, He J 2002 Phys. Rev. A 65 063802
[28] ］Roshan Entezar S, Tajalli H 2007 Phys. Rev. A 75 023816
[29] ］Du C G, Hu Z F, Li S Q 2004 J. Opt. B: Quantum Semiclass. Opt. 6 263
[30] ］Fang Y F, Du C G, Li S Q 2006 Acta Phys. Sin. 55 4652 (in Chinese) ［房元锋、杜春光、李师群 2006 物理学报 55 4652］
[31] ］Woldeyohannes M, John S 1999 Phys. Rev. A 60 5046
[32] ］Woldeyohannes M, John S 2003 J. Opt. B: Quantum Semiclass. Opt. 5 R43
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[1] ［1］Zhu S Y, Chan R C F, Lee C P 1995 Phys. Rev. A 52 710
[2] ［2］Zhu S Y, Scully M O 1995 Phys. Lett. A 201 85
[3] ［3］Zhu S Y, Narducci L M, Scully M O 1995 Phys. Rev. A 52 4791
[4] ［4］Zhou P, Swain S 1997 Phys. Rev. A 56 3011
[5] ［5］Agarwal G S 1998 Phys. Rev. A 58 686
[6] ［6］Paspalakis E, Keitel C H, Knight P L 1998 Phys. Rev. A 58 4868
[7] ［7］Wu J H, Li A J, Ding Y, Zhao Y C, Gao J Y 2005 Phys. Rev. A 72 023802
[8] ［8］Li J H, Liu J B, Chen A X, Qi C C 2006 Phys. Rev. A 74 033816
[9] ［9］Li A J, Song X L, Wei X G, Wang L, Gao J Y 2008 Phys. Rev. A 77 053806
[10] ］Li Y F, Zhang X Y, Sun J F, Wang Y C 2002 Acta. Phys. Sin. 51 782 (in Chinese) ［李永放、张向阳、孙建锋、王永昌 2002 物理学报 51 782］
[11] ］Paspalakis E, Angelakis D G, Knight P L 1999 Opt. Commun. 172 229
[12] ］Angelakis D G, Paspalakis E, Knight P L 2001 Phys. Rev. A 64 013801
[13] ］Yang Y P, Zhu S Y 2000 Phys. Rev. A 62 013805
[14] ］Zhu S Y, Yang Y P, Chen H, Zheng H, Zubairy M S 2000 Phys. Rev. Lett. 84 2136
[15] ］Yang Y P, Xie S Y, Chen H, Zhu S Y, Wu X 2000 Opt. Commun. 182 349
[16] ］Yang Y P, Li G X, Chen H, Zhu S Y 2006 Opt. Commun. 265 559
[17] ］Xie S Y, Yang Y P, Wu X 2000 Acta Phys. Sin. 49 1478 (in Chinese) ［谢双媛、羊亚平、吴翔 2000 物理学报 49 1478］
[18] ］Huang X S, Yang Y P 2005 Acta. Phys. Sin. 54 4129 (in Chinese) ［黄仙山、羊亚平 2005 物理学报 54 4129］
[19] ］Huang X S, Xie S Y, Yang Y P 2006 Acta. Phys. Sin. 55 696 (in Chinese) ［黄仙山、谢双媛、羊亚平 2006 物理学报 55 696］
[20] ］Zhu S Y, Chen H, Huang H 1997 Phys. Rev. Lett. 79 205
[21] ］Yang Y P, Zhu S Y, Zubairy M S 1999 Opt. Commun. 166 79
[22] ］Yang Y P, Zhu S Y 2000 Phys. Rev. A 61 043809
[23] ］Yang Y P, Lin Z X, Zhu S Y, Chen H, Feng W G 2000 Phys. Lett. A 270 41
[24] ］Yang Y P, Zhu S Y 2000 J. Mod. Opt. 47 1513
[25] ］Yang Y P, Fleischhauer M, Zhu S Y 2003 Phys. Rev. A 68 043805
[26] ］Chen S, Xie S Y, Yang Y P, Chen H 2003 Acta. Phys. Sin. 52 853 (in Chinese)［陈三、谢双媛、羊亚平、陈鸿 2003 物理学报 52 853］
[27] ］Zhang H Z, Tang S H, Dong P, He J 2002 Phys. Rev. A 65 063802
[28] ］Roshan Entezar S, Tajalli H 2007 Phys. Rev. A 75 023816
[29] ］Du C G, Hu Z F, Li S Q 2004 J. Opt. B: Quantum Semiclass. Opt. 6 263
[30] ］Fang Y F, Du C G, Li S Q 2006 Acta Phys. Sin. 55 4652 (in Chinese) ［房元锋、杜春光、李师群 2006 物理学报 55 4652］
[31] ］Woldeyohannes M, John S 1999 Phys. Rev. A 60 5046
[32] ］Woldeyohannes M, John S 2003 J. Opt. B: Quantum Semiclass. Opt. 5 R43
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