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Using the numerical result, the influence of the Doppler broadening on the two-photon absorption related to vacuum induced coherence is discussed. In the absence of Doppler broadening, when VIC is absent, the absorption curve has a double-peak structure and the electromagnetically induced transparency phenomenon can occur; when VIC is present, the absorption curve has a single-peak structure and EIT phenomenon does not appear. In the presence of Doppler broadening, regardless of VIC being present or not, EIT phenomenon always can occur; when VIC is absent, no matter whether the propagation directions of the probe and driving fields are the same or opposite, with the Doppler broadening width (D) increasing, the absorption first increases and then decreases and the absorption curve changes gradually from a double-peak structure to a single-peak structure; when VIC is present, if propagation directions of the probe and driving fields are the same, with the value of D increasing, the absorption first increases and then decreases and the absorption curve changes gradually from a single-peak structure to a double-peak structure; if propagation directions of the probe and driving fields are opposite, with the value of D increasing, the absorption decreases monotonieally and the absorption curve remains a single-peak structure.
[1] Mompart J, Corbalan R 2000 J. Opt. B: Quant. Semiclas. Opt. 2 R4
[2] Harris S E, Field J E, Imamoglu A 1990 Phys. Rev. Lett. 64 1107
[3] Boller K J, Imamoglu A, Harris S E 1991 Phys. Rev. Lett. 66 2593
[4] Keitel C H 1998 Phys. Rev. A 57 1412
[5] Dogariu A 2000 Nature 406 277
[6] Wilson-Gordon A D, Friedmann H 2001 Phys. Rev. A 63 043818
[7] Arimondo E 1996 Progress in Optics XXXV (Edited by Wolf E) (North-Holland: Amsterdam) p257
[8] Scully M O, Zhu S Y 1998 Science 281 1973
[9] Scully M O 1991 Phys. Rev. Lett. 67 1855
[10] Berman P R 2005 Phys. Rev. A 72 035801
[11] Antòn M A, Calderòn O G, Carreño F 2005 Phys. Rev. A 72 023809
[12] Gonzalo I, Antòn M A, Carreño F, Calderòn O G 2005 Phys. Rev. A 72 033809
[13] Niu Y P, Gong S Q 2006 Phys. Rev. A 73 053811
[14] Cui N, Fan X J, Tian S F, Ma H, Li A Y, Xu Z Z 2006 J. Modern Opt. 53 1165
[15] Li A Y, Ma H, Tan X, Yang Y L, Tong D M, Fan X J 2007 Opt. Commun. 280 397
[16] Li A J, Song X L, Wei X G, Wang L, Gao J Y 2008 Phys. Rev. A 77 053806
[17] Yan X A, Song J P, Yi B Y 2008 Acta Phys. Sin. 57 3538 (in Chinese) [严祥安, 宋建平, 尹宝银 2008 57 3538]
[18] Yang Y L, Wang L, Liu Z B, Lu H W, Fan X J 2009 Acta Phys. Sin. 58 3161 (in Chinese) [杨艳玲, 王蕾, 刘中波, 卢洪武, 樊锡君 2009 58 3161]
[19] Osman K I, Hassan S S, Joshi A 2009 Eur. Phys. J. D 54 119
[20] Braunstein D, Shuker R 2009 J. Phys. B: At. Mol. Opt. Phys. 42 125401
[21] Weatherall J O, Search C P 2010 Phys. Rev. A 81 023806
[22] Agarwal G S, Harshawardhan W 1996 Phys. Rev. Lett. 77 1039
[23] Gao J Y, Yang S H, Wang D, Guo X Z, Chen K X, Jiang Y, Zhao B 2002 Phys. Rev. A 61 063812
[24] Petrosyan D, Kurizki G 2001 Phys. Rev. A 64 023810
[25] Paternostro M, Kim M S 2003 Phys. Rev. A 67 023811
[26] Wahlstrand J K, Cundiff S T, Sipe J E 2011 Phys. Rev. B 83 233201
[27] Malaguti S, Bellanca G, de Rossi A, Combriè S, Trillo St 2011 Phys. Rev. A 83 051802
[28] Saha K, Venkataraman V, Londero P, Gaeta A L 2011 Phys. Rev. A 83 033833
[29] Hendrickson S M, Lai M M, Pittman T B, Franson J D 2010 Phys. Rev. Lett. 105 173602
[30] Chuntonov L, Rybak L, Gandman A, Amitay Z 2010 Phys. Rev. A 81 045401
[31] Wang C K, Zhang Z D, Ding M C, Li X J, Sun Y H, Zhao K 2010 Chin. Phys. B 19 103304
[32] You H, Hendrickson S M, Franson J D 2009 Phys. Rev. A 80 043823
[33] Sun Y P, Liu J C, Wang C K 2009 Acta Phys. Sin. 58 3934 (in Chinese) [孙玉萍, 刘纪彩, 王传奎 2009 58 3934]
[34] Sun Y H, Li J, Zhao K,Wang C K 2010 Chin. Phys. B 19 044207
[35] Sun Y H, Li L H, Li J, Wang C K 2010 Chin. Phys. B 19 083102
[36] Cui H Y, Li Z F,Ma F J, Chen X S, LuW2010 Acta Phys. Sin. 59 7055 (in Chinese) [崔昊杨, 李志锋, 马法君, 陈效双, 陆卫 2010 59 7055]
[37] Zheng J J, Lu Y Q, Li P L 2010 Acta Phys. Sin. 59 4687 (in Chinese) [郑加金, 陆云清, 李培丽 2010 59 4687]
[38] Hou B P, Wang S J, Yu W L, Sun W L 2004 Phys. Rev. A 69 053805
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[1] Mompart J, Corbalan R 2000 J. Opt. B: Quant. Semiclas. Opt. 2 R4
[2] Harris S E, Field J E, Imamoglu A 1990 Phys. Rev. Lett. 64 1107
[3] Boller K J, Imamoglu A, Harris S E 1991 Phys. Rev. Lett. 66 2593
[4] Keitel C H 1998 Phys. Rev. A 57 1412
[5] Dogariu A 2000 Nature 406 277
[6] Wilson-Gordon A D, Friedmann H 2001 Phys. Rev. A 63 043818
[7] Arimondo E 1996 Progress in Optics XXXV (Edited by Wolf E) (North-Holland: Amsterdam) p257
[8] Scully M O, Zhu S Y 1998 Science 281 1973
[9] Scully M O 1991 Phys. Rev. Lett. 67 1855
[10] Berman P R 2005 Phys. Rev. A 72 035801
[11] Antòn M A, Calderòn O G, Carreño F 2005 Phys. Rev. A 72 023809
[12] Gonzalo I, Antòn M A, Carreño F, Calderòn O G 2005 Phys. Rev. A 72 033809
[13] Niu Y P, Gong S Q 2006 Phys. Rev. A 73 053811
[14] Cui N, Fan X J, Tian S F, Ma H, Li A Y, Xu Z Z 2006 J. Modern Opt. 53 1165
[15] Li A Y, Ma H, Tan X, Yang Y L, Tong D M, Fan X J 2007 Opt. Commun. 280 397
[16] Li A J, Song X L, Wei X G, Wang L, Gao J Y 2008 Phys. Rev. A 77 053806
[17] Yan X A, Song J P, Yi B Y 2008 Acta Phys. Sin. 57 3538 (in Chinese) [严祥安, 宋建平, 尹宝银 2008 57 3538]
[18] Yang Y L, Wang L, Liu Z B, Lu H W, Fan X J 2009 Acta Phys. Sin. 58 3161 (in Chinese) [杨艳玲, 王蕾, 刘中波, 卢洪武, 樊锡君 2009 58 3161]
[19] Osman K I, Hassan S S, Joshi A 2009 Eur. Phys. J. D 54 119
[20] Braunstein D, Shuker R 2009 J. Phys. B: At. Mol. Opt. Phys. 42 125401
[21] Weatherall J O, Search C P 2010 Phys. Rev. A 81 023806
[22] Agarwal G S, Harshawardhan W 1996 Phys. Rev. Lett. 77 1039
[23] Gao J Y, Yang S H, Wang D, Guo X Z, Chen K X, Jiang Y, Zhao B 2002 Phys. Rev. A 61 063812
[24] Petrosyan D, Kurizki G 2001 Phys. Rev. A 64 023810
[25] Paternostro M, Kim M S 2003 Phys. Rev. A 67 023811
[26] Wahlstrand J K, Cundiff S T, Sipe J E 2011 Phys. Rev. B 83 233201
[27] Malaguti S, Bellanca G, de Rossi A, Combriè S, Trillo St 2011 Phys. Rev. A 83 051802
[28] Saha K, Venkataraman V, Londero P, Gaeta A L 2011 Phys. Rev. A 83 033833
[29] Hendrickson S M, Lai M M, Pittman T B, Franson J D 2010 Phys. Rev. Lett. 105 173602
[30] Chuntonov L, Rybak L, Gandman A, Amitay Z 2010 Phys. Rev. A 81 045401
[31] Wang C K, Zhang Z D, Ding M C, Li X J, Sun Y H, Zhao K 2010 Chin. Phys. B 19 103304
[32] You H, Hendrickson S M, Franson J D 2009 Phys. Rev. A 80 043823
[33] Sun Y P, Liu J C, Wang C K 2009 Acta Phys. Sin. 58 3934 (in Chinese) [孙玉萍, 刘纪彩, 王传奎 2009 58 3934]
[34] Sun Y H, Li J, Zhao K,Wang C K 2010 Chin. Phys. B 19 044207
[35] Sun Y H, Li L H, Li J, Wang C K 2010 Chin. Phys. B 19 083102
[36] Cui H Y, Li Z F,Ma F J, Chen X S, LuW2010 Acta Phys. Sin. 59 7055 (in Chinese) [崔昊杨, 李志锋, 马法君, 陈效双, 陆卫 2010 59 7055]
[37] Zheng J J, Lu Y Q, Li P L 2010 Acta Phys. Sin. 59 4687 (in Chinese) [郑加金, 陆云清, 李培丽 2010 59 4687]
[38] Hou B P, Wang S J, Yu W L, Sun W L 2004 Phys. Rev. A 69 053805
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