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Using the technique of electromagnetically induced transparency, three photonic bandgaps can be established and manipulated at any time due to the refraction modulated periodically by the one-dimensional optical lattice in a tripod atomic system which is trapped in a one-dimensional optical lattice with a Gaussian density distribution. Using the density-matrix equations to describe the interaction between laser and atoms and the transfer-matrix equation to describe the scattering of light waves in periodic media, we can obtain the steady reflection and transmission spectra. It can be found that the position and width as well as the reflectivity of the photonic band-gap could be tuned by changing the detunings and intensities of the coupling fields and the geometric Bragg detuning.
[1] Harris S E 1997 Phys. Today 50(7) 36
[2] Fleischhauer M, Imamoglu A, Marangos J P 2005 Rev. Mod. Phys. 77 633
[3] Yang S H, Wang D, Gao J Y 1999 Acta Phys. Sin. (Overseas Edition) 8 443
[4] Zhao J M, Yin W B, Wang L R, Xiao L T, Jia S T 2002 Chin. Phys. 11 241
[5] Hau L V, Harris S E, Dutton Z, Behroozi C H 1999 Nature 397 594
[6] Turukhin A V, Sudarshanam V S, Shahriar M S, J Musser A, Ham B S, Hemmer P 2002 Phys. Rev. Lett. 88 023602
[7] Cui C L, Jia J K, Gao J W, Xue Y, Wang G, Wu J H 2007 Phy. Rev. A 76 559
[8] Fleischhauer M, Lukin M D 2000 Phy. Rev. Lett. 84 5094
[9] Liu C, Dutton Z, Behroozi C H, Hau L V 2001 Nature 409 490
[10] Wu J H, Gu K H, Guo X Z, Han N 2010 Chinese Journal of Optics and Applied Optics 3 343 (in Chinese) [吴金辉, 谷开慧, 国秀珍, 韩颖 2010 中国光学与应用光学 3 343]
[11] Liu C X, Zhang J S, Liu J Y, Jin G 2009 Acta Phys. Sin. 58 5778 (in Chinese) [刘春旭, 张继森, 刘俊业, 金光 2009 物理学报 58 5778]
[12] Ba N, Gao J W, Tian X X, Wu X, Wu J H 2010 Chin. Phys. B 19 074208
[13] Wu H B, Chang H, Ma J, Xie C D, Wang H 2005 Acta Phys. Sin. 54 3632 (in Chinese) [武海斌, 常宏, 马杰, 谢常德, 王海 2005 物理学报 54 3632]
[14] Ba N, Wan R G, Jiang B N, Wang H, Wang D W, Zhang Y, Wu J H 2010 Opt. Commun. 283 1071
[15] Yablonovitch E 1987 Phys. Rev. Lett. 58 2059
[16] John S 1987 Phys. Rev. Lett. 58 2486
[17] Wang H, Li Y P 2001 Acta Phys. Sin. 50 2172 (in Chinese) [王辉, 李永平 2001 物理学报 50 2172]
[18] Artoni M, La Rocca G C 2006 Phys. Rev. Lett. 96(7) 073905
[19] Wu J H, G La Rocca C, Artoni M 2008 J. Opt. Soc. Am. B 25 1840
[20] Gao J W, Wu J H, Ba N, Cui C L, Tian X X 2010 Phys. Rev. A 81 013804
[21] Cui C L, Wu J H, Gao J W, Zhang Y, Ba N 2010 Opt. Express 18 4538
[22] Wan R G, Kou J, Kuang S Q, Jiang L, Gao J Y 2010 Opt. Express 18 15591
[23] Wang D W, Zhou H T, Guo M J, Zhang J X, Jörg Evers, Zhu S Y 2013 Phys. Rev. Lett. 110 093901
[24] Q He Y, Wu J H, Wang T J, Gao J Y 2006 Phys. Rev. A 73 053813
[25] Wu J H, La Rocca G C, Artoni M 2008 Phys. Rev. B 77 113106
[26] Schilke A, Zimmermann C, W. Courteille P, Guerin W 2011 Phys. Rev. Lett. 106 223903
[27] Schilke A, Zimmermann C, Guerin W 2012 Phys. Rev. A 86 023809
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[1] Harris S E 1997 Phys. Today 50(7) 36
[2] Fleischhauer M, Imamoglu A, Marangos J P 2005 Rev. Mod. Phys. 77 633
[3] Yang S H, Wang D, Gao J Y 1999 Acta Phys. Sin. (Overseas Edition) 8 443
[4] Zhao J M, Yin W B, Wang L R, Xiao L T, Jia S T 2002 Chin. Phys. 11 241
[5] Hau L V, Harris S E, Dutton Z, Behroozi C H 1999 Nature 397 594
[6] Turukhin A V, Sudarshanam V S, Shahriar M S, J Musser A, Ham B S, Hemmer P 2002 Phys. Rev. Lett. 88 023602
[7] Cui C L, Jia J K, Gao J W, Xue Y, Wang G, Wu J H 2007 Phy. Rev. A 76 559
[8] Fleischhauer M, Lukin M D 2000 Phy. Rev. Lett. 84 5094
[9] Liu C, Dutton Z, Behroozi C H, Hau L V 2001 Nature 409 490
[10] Wu J H, Gu K H, Guo X Z, Han N 2010 Chinese Journal of Optics and Applied Optics 3 343 (in Chinese) [吴金辉, 谷开慧, 国秀珍, 韩颖 2010 中国光学与应用光学 3 343]
[11] Liu C X, Zhang J S, Liu J Y, Jin G 2009 Acta Phys. Sin. 58 5778 (in Chinese) [刘春旭, 张继森, 刘俊业, 金光 2009 物理学报 58 5778]
[12] Ba N, Gao J W, Tian X X, Wu X, Wu J H 2010 Chin. Phys. B 19 074208
[13] Wu H B, Chang H, Ma J, Xie C D, Wang H 2005 Acta Phys. Sin. 54 3632 (in Chinese) [武海斌, 常宏, 马杰, 谢常德, 王海 2005 物理学报 54 3632]
[14] Ba N, Wan R G, Jiang B N, Wang H, Wang D W, Zhang Y, Wu J H 2010 Opt. Commun. 283 1071
[15] Yablonovitch E 1987 Phys. Rev. Lett. 58 2059
[16] John S 1987 Phys. Rev. Lett. 58 2486
[17] Wang H, Li Y P 2001 Acta Phys. Sin. 50 2172 (in Chinese) [王辉, 李永平 2001 物理学报 50 2172]
[18] Artoni M, La Rocca G C 2006 Phys. Rev. Lett. 96(7) 073905
[19] Wu J H, G La Rocca C, Artoni M 2008 J. Opt. Soc. Am. B 25 1840
[20] Gao J W, Wu J H, Ba N, Cui C L, Tian X X 2010 Phys. Rev. A 81 013804
[21] Cui C L, Wu J H, Gao J W, Zhang Y, Ba N 2010 Opt. Express 18 4538
[22] Wan R G, Kou J, Kuang S Q, Jiang L, Gao J Y 2010 Opt. Express 18 15591
[23] Wang D W, Zhou H T, Guo M J, Zhang J X, Jörg Evers, Zhu S Y 2013 Phys. Rev. Lett. 110 093901
[24] Q He Y, Wu J H, Wang T J, Gao J Y 2006 Phys. Rev. A 73 053813
[25] Wu J H, La Rocca G C, Artoni M 2008 Phys. Rev. B 77 113106
[26] Schilke A, Zimmermann C, W. Courteille P, Guerin W 2011 Phys. Rev. Lett. 106 223903
[27] Schilke A, Zimmermann C, Guerin W 2012 Phys. Rev. A 86 023809
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