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We studied the electromagnetically induced transparency, where the three-level atom of Λ-type is put in two statistically independent squeezed vacuums. We start from the master equation containing the decay of the atom to the squeezed vacuums, and solve the non-diagonal density matrix element analytically, finding that it is strongly dependent on the squeezing degree and the phase of the squeezed vacuum. There is also a dependence on the intensity and phase of the probe beam, which would not appear in the normal vacuum case. By coupling with squeezed vacuums, the atom would not only experience electromagnetically induced transparency and slow group velocity, but also induce a fast group velocity,backward group velocity and a gain in the probe light field. Besides, the absorption and gain can be modulated by the intensity of probe light.
[1] Harris S E, Field J E, Imamoglu A 1990 Phys. Rev. Lett. 64 1107
[2] Boller K J, Imamolu A, Harris S E 1991 Phys. Rev. Lett. 66 2593
[3] Fleischhauer M, Imamoglu A, Marangos J P 2005 Rev. Mod. Phys. 77 633
[4] Schmidt H, Imamogdlu A 1996 Opt. Lett. 21 1936
[5] Wang F Y, Shi B S, Lu X S, Guo G C 2008 Chin. Phys. B 17 1793
[6] Matsko A B, Kocharovskaya O, Rostovtsev Y, Welch A S Z G R, Scully M O 2001 Adv. At. Mol. Opt. Phys. 46 191
[7] Fleischhauer M, Lukin M D 2002 Phys. Rev. A 65 022314
[8] Eisaman M D, Andre A, Massou F, Fleischhauer M, Zibrov A S, Lukin M D 2001 Nature (London) 413 273
[9] Bagayev S N, Vasilév V V, Egorov V S, Lebedev V N, Mekhov I B, Moroshkin P V, Fedorov A N, Chekhonin I A 2005 Laser Phys. 15 975
[10] Xu Q F, Sandhu S, Povinelli M L, Shakya J, Fan S H, Lipson M 2006 Phys. Rev. Lett. 96 123901
[11] Turukhin A V, Sudarshanam V S, Shahriar M S, Musser J A, Ham B S, Hemmer P R 2001 Phys. Rev. Lett. 88 023602
[12] Hau L V, Harris S E, Dutton Z, Behroozi C H 1999 Nature (London) 397 594
[13] Buth C, Santra R, Young L 2007 Phys. Rev. Lett. 98 253001
[14] Wu Y, Yang X X 2005 Phys. Rev. A 71 053806
[15] Li Y Y, Hou X, Bai J T, Yan J F, Gan C L 2008 Chin. Phys. B 17 2885
[16] Zhang L S, Li X L, Wang J, Yang L J, Feng X M, Li X W, Fu G S 2008 Acta Phys. Sin. 57 4921 (in Chinese) [张连水、李晓莉、王 健、杨丽君、冯晓敏、李晓苇、傅广生 2008 57 4921]
[17] Zheng J, Liu Z D, Zeng F H, Fang H J 2008 Acta Phys. Sin. 57 4219 (in Chinese) [郑 军、刘正东、曾福华、方慧娟 2008 57 4219]
[18] Du Y J, Ge G K 2008 Acta Opt. Sin. 28 0375 (in Chinese) [杜英杰、葛国库 2008 光学学报 28 0375]
[19] Hou B P, Wang S J, Yu W L, Sun W L 2006 Phys. Lett. A 352 462
[20] She Y C, Wang D L, Ding J W 2009 Acta Phys. Sin. 58 3198 (in Chinese) [佘彦超、王登龙、丁建文2009 58 3198]
[21] Walls D F 1983 Nature (London) 306 141
[22] Grangier P, Slusher R E, Yurke B, LaPorta A 1987 Phys. Rev. Lett. 59 2153
[23] Saleh B E, Teich M C 1987 Phys. Rev. Lett. 58 2656
[24] Gardiner C W 1986 Phys. Rev. Lett. 56 1917
[25] Ritsch H, Zoller P 1987 Opt. Commun. 64 523
[26] Carmichael H J, Lane A S, Walls D F 1987 Phys. Rev. Lett. 58 2539
[27] Tan L, Zhang Q, Wang Z C 2005 Acta Opt. Sin. 25 1277 (in Chinese) [谭 磊、张 琴、汪志诚 2005 光学学报 25 1277]
[28] Tan L, Zang X F, Li J P, Liu L W, Ding C Y 2008 J. Phys. Joc. Jpn. 77 044704
[29] Huang Y X, Zhao P Y, Huang X, Zhan M S 2004 Acta Phys. Sin. 53 0075 (in Chinese)[黄燕霞、赵朋义、黄 熙、詹明生 2004 53 0075]
[30] Wen J J, Shao X Q, Jin X R, Zhang S, Yeon K H 2008 Chin. Phys. B 17 1618
[31] Wang F Q, Zhang Z M, Liang R S, 2009 Chin. Phys. B 18 597
[32] Xu X X, Hu L Y, Fan H Y, 2009 Chin. Phys. B 18 5139
[33] Xiang S H, Shao B, Song K H, 2009 Chin. Phys. B 18 418
[34] Akamatsu D, Akiba K, Kozuma M 2004 Phys. Rev. Lett. 92 203602
[35] Akamatsu D, Yokoi Y, Arikawa M, Nagatsuka S, Tanimura T, Furusawa A, Kozuma M 2007 Phys. Rev. Lett. 99 153602
[36] Joshi A, Puri R P 1992 Phys. Rev. A 45 2025
[37] Walls D F, Milburn G J 1995 Quantum Optics (Berlin: Springer-Verlag) pp91—97, pp208—210,pp225—227
[38] Louisell W H 1973 Quantum Statistical Properties of Radiation (New York: Wiley) pp331—368
[39] Ferguson M R, Ficek Z, Dalton B J 1995 J. Mod. Opt. 42 679
[40] Zhou F X, Niu Y P, Gong S Q 2009 J. Chem. Phys. 131 034105
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[1] Harris S E, Field J E, Imamoglu A 1990 Phys. Rev. Lett. 64 1107
[2] Boller K J, Imamolu A, Harris S E 1991 Phys. Rev. Lett. 66 2593
[3] Fleischhauer M, Imamoglu A, Marangos J P 2005 Rev. Mod. Phys. 77 633
[4] Schmidt H, Imamogdlu A 1996 Opt. Lett. 21 1936
[5] Wang F Y, Shi B S, Lu X S, Guo G C 2008 Chin. Phys. B 17 1793
[6] Matsko A B, Kocharovskaya O, Rostovtsev Y, Welch A S Z G R, Scully M O 2001 Adv. At. Mol. Opt. Phys. 46 191
[7] Fleischhauer M, Lukin M D 2002 Phys. Rev. A 65 022314
[8] Eisaman M D, Andre A, Massou F, Fleischhauer M, Zibrov A S, Lukin M D 2001 Nature (London) 413 273
[9] Bagayev S N, Vasilév V V, Egorov V S, Lebedev V N, Mekhov I B, Moroshkin P V, Fedorov A N, Chekhonin I A 2005 Laser Phys. 15 975
[10] Xu Q F, Sandhu S, Povinelli M L, Shakya J, Fan S H, Lipson M 2006 Phys. Rev. Lett. 96 123901
[11] Turukhin A V, Sudarshanam V S, Shahriar M S, Musser J A, Ham B S, Hemmer P R 2001 Phys. Rev. Lett. 88 023602
[12] Hau L V, Harris S E, Dutton Z, Behroozi C H 1999 Nature (London) 397 594
[13] Buth C, Santra R, Young L 2007 Phys. Rev. Lett. 98 253001
[14] Wu Y, Yang X X 2005 Phys. Rev. A 71 053806
[15] Li Y Y, Hou X, Bai J T, Yan J F, Gan C L 2008 Chin. Phys. B 17 2885
[16] Zhang L S, Li X L, Wang J, Yang L J, Feng X M, Li X W, Fu G S 2008 Acta Phys. Sin. 57 4921 (in Chinese) [张连水、李晓莉、王 健、杨丽君、冯晓敏、李晓苇、傅广生 2008 57 4921]
[17] Zheng J, Liu Z D, Zeng F H, Fang H J 2008 Acta Phys. Sin. 57 4219 (in Chinese) [郑 军、刘正东、曾福华、方慧娟 2008 57 4219]
[18] Du Y J, Ge G K 2008 Acta Opt. Sin. 28 0375 (in Chinese) [杜英杰、葛国库 2008 光学学报 28 0375]
[19] Hou B P, Wang S J, Yu W L, Sun W L 2006 Phys. Lett. A 352 462
[20] She Y C, Wang D L, Ding J W 2009 Acta Phys. Sin. 58 3198 (in Chinese) [佘彦超、王登龙、丁建文2009 58 3198]
[21] Walls D F 1983 Nature (London) 306 141
[22] Grangier P, Slusher R E, Yurke B, LaPorta A 1987 Phys. Rev. Lett. 59 2153
[23] Saleh B E, Teich M C 1987 Phys. Rev. Lett. 58 2656
[24] Gardiner C W 1986 Phys. Rev. Lett. 56 1917
[25] Ritsch H, Zoller P 1987 Opt. Commun. 64 523
[26] Carmichael H J, Lane A S, Walls D F 1987 Phys. Rev. Lett. 58 2539
[27] Tan L, Zhang Q, Wang Z C 2005 Acta Opt. Sin. 25 1277 (in Chinese) [谭 磊、张 琴、汪志诚 2005 光学学报 25 1277]
[28] Tan L, Zang X F, Li J P, Liu L W, Ding C Y 2008 J. Phys. Joc. Jpn. 77 044704
[29] Huang Y X, Zhao P Y, Huang X, Zhan M S 2004 Acta Phys. Sin. 53 0075 (in Chinese)[黄燕霞、赵朋义、黄 熙、詹明生 2004 53 0075]
[30] Wen J J, Shao X Q, Jin X R, Zhang S, Yeon K H 2008 Chin. Phys. B 17 1618
[31] Wang F Q, Zhang Z M, Liang R S, 2009 Chin. Phys. B 18 597
[32] Xu X X, Hu L Y, Fan H Y, 2009 Chin. Phys. B 18 5139
[33] Xiang S H, Shao B, Song K H, 2009 Chin. Phys. B 18 418
[34] Akamatsu D, Akiba K, Kozuma M 2004 Phys. Rev. Lett. 92 203602
[35] Akamatsu D, Yokoi Y, Arikawa M, Nagatsuka S, Tanimura T, Furusawa A, Kozuma M 2007 Phys. Rev. Lett. 99 153602
[36] Joshi A, Puri R P 1992 Phys. Rev. A 45 2025
[37] Walls D F, Milburn G J 1995 Quantum Optics (Berlin: Springer-Verlag) pp91—97, pp208—210,pp225—227
[38] Louisell W H 1973 Quantum Statistical Properties of Radiation (New York: Wiley) pp331—368
[39] Ferguson M R, Ficek Z, Dalton B J 1995 J. Mod. Opt. 42 679
[40] Zhou F X, Niu Y P, Gong S Q 2009 J. Chem. Phys. 131 034105
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