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By using the technique of electromagnetically induced transparency and solving density matrix equations for atoms and transfer matrix equations of fields, we study the steady optical properties of a four-level system of cold atoms driven by a traveling-wave field and a standing-wave field. It is found that a nearly perfect structure of double photonic band-gap can be generated with specific parameters. In particular, the reflectivity inside each photonic band-gap is homogeneous over 95%. It is convenient to modulate the positions and widths of both photonic band-gaps by changing intensities and frequencies of the driving fields. The double photonic band-gaps can be used to achieve all-optical routing and switching and therefore may have applications in all-optical information networks.
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Keywords:
- periodically modulated atomic coherence /
- electromagnetically induced transparency /
- coherently induced photonic band-gaps
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[14] Wu J H, Jia J K, Gao J W, Xue Y, Wang G, Wu J H 2007 Phys. Rev. A 76 033815
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[17] [18] Chen Y F, Wang C Y, Wang S H, Yu I A 2006 Phys. Rev. Lett. 96 043603
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[23] [24] [25] Lin Y W, Liao W T, Peters T, Chou H C, Wang J S, Cho H W, Kuan P C, Yu I A 2009 Phys. Rev. Lett. 102 213601
[26] [27] Wu J H, Artoni M, La Rocca G C 2010 Phys. Rev. A 81 033822
[28] [29] Wu J H, Artoni M, La Rocca G C 2010 Phys. Rev. A 82 013807
[30] Zhang Y, Zhang X H, Yu M, Wu J H, Cui C L 2010 Phys. Lett. A 376 656
[31] [32] Artoni M, La Rocca G C 2006 Phys. Rev. Lett. 96 073905
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[36] [37] Petrosyan D 2007 Phys. Rev. A 76 053823
[38] Zhang Y, Xue Y, Wang G, Cui C L, Wang R, Wu J H 2011 Optics Express 19 2111
[39] [40] [41] Sadeghi S M, Li W J 2009 Phys.: Condens. Matter 21 155801
[42] [43] Wu J H, Artoni M, La Rocca G C 2009 Phys. Rev. Lett. 103 133601
[44] Gao J W, Wu J H, Ba N, Cui C L, Tian X X 2010 Phys. Rev. A 81 013804
[45] [46] [47] Gao J W, Zhang Y, Ba N, Cui C L, Wu J H 2010 Opt. Lett. 35 709
[48] Gao J W, Bao Q Q, Wan R G, Cui C L, Wu J H 2011 Phys. Rev. A 83 053815
[49] [50] [51] Ni P G 2010 Acta Phys. Sin. 59 0340 (in Chinese) [倪培根 2010 59 0340]
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[1] Boller K J, Imamolu A, Harris S E 1991 Phys. Rev. Lett. 66 2593
[2] [3] Field J E, Hahn K H, Harris S E 1991 Phys. Rev. Lett. 67 3062
[4] Xiao M, Li Y Q, Jin S Z, Gea-Banacloche J 1995 Phys. Rev. Lett. 74 666
[5] [6] Wielandy S, Gaeta A L 1998 Phys. Rev. A 58 2500
[7] [8] Harris S E, Field J E, Kasapi A 1992 Phys. Rev. A 46 R29
[9] [10] [11] Hau L V, Harris S E, Dutton Z, Behroozi C H 1999 Nature 397 594
[12] [13] Kocharovskaya O, Rostovtsev Y, Scully M O 2001 Phys. Rev. Lett. 86 628
[14] Wu J H, Jia J K, Gao J W, Xue Y, Wang G, Wu J H 2007 Phys. Rev. A 76 033815
[15] [16] Lukin M D, Imamoglu A 2000 Phys. Rev. Lett. 84 1419
[17] [18] Chen Y F, Wang C Y, Wang S H, Yu I A 2006 Phys. Rev. Lett. 96 043603
[19] [20] [21] Choi K S, Deng H, Laurat J, Kimble H J 2008 Nature 452 67
[22] Andre A, Lukin M D 2002 Phys. Rev. Lett. 89 143602
[23] [24] [25] Lin Y W, Liao W T, Peters T, Chou H C, Wang J S, Cho H W, Kuan P C, Yu I A 2009 Phys. Rev. Lett. 102 213601
[26] [27] Wu J H, Artoni M, La Rocca G C 2010 Phys. Rev. A 81 033822
[28] [29] Wu J H, Artoni M, La Rocca G C 2010 Phys. Rev. A 82 013807
[30] Zhang Y, Zhang X H, Yu M, Wu J H, Cui C L 2010 Phys. Lett. A 376 656
[31] [32] Artoni M, La Rocca G C 2006 Phys. Rev. Lett. 96 073905
[33] [34] [35] Wu J H, Artoni M, La Rocca G C 2008 J. Opt. Soc. Am. B 25 1840
[36] [37] Petrosyan D 2007 Phys. Rev. A 76 053823
[38] Zhang Y, Xue Y, Wang G, Cui C L, Wang R, Wu J H 2011 Optics Express 19 2111
[39] [40] [41] Sadeghi S M, Li W J 2009 Phys.: Condens. Matter 21 155801
[42] [43] Wu J H, Artoni M, La Rocca G C 2009 Phys. Rev. Lett. 103 133601
[44] Gao J W, Wu J H, Ba N, Cui C L, Tian X X 2010 Phys. Rev. A 81 013804
[45] [46] [47] Gao J W, Zhang Y, Ba N, Cui C L, Wu J H 2010 Opt. Lett. 35 709
[48] Gao J W, Bao Q Q, Wan R G, Cui C L, Wu J H 2011 Phys. Rev. A 83 053815
[49] [50] [51] Ni P G 2010 Acta Phys. Sin. 59 0340 (in Chinese) [倪培根 2010 59 0340]
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