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Using the numerical result, the influence of the Doppler broadening on the vacuum induced coherence (VIC) related probe field absorption is discussed. It is shown that if there exists no Doppler broadening, only when VIC is absent can the electromagnetically induced transparency (EIT) phenomenon occur; VIC leads the probe field absorption to vary obviously and the gain to appear; in both cases with and without VIC, the absorption curve has a double-peak structure which is symmetrical about the probe detuning. If there exists the Doppler broadening, in both cases with and without VIC, EIT phenomenon can always occur; VIC still leads the probe field absorption to vary obviously and the gain to appear; no matter whether the VIC is present. The probe field absorption has the following characteristics: the absorption curve no longer has symmetry about the probe field detuning and changes gradually from the double-peak structure to the single-peak structure with Doppler broadening width (D) increasing; the probe field absorption does not monotonically increase or decrease with D increasing; the probe field absorption, when the probe and driving fields propagate along the opposite directions, is smaller than that when the probe and driving fields propagate along the same directions.
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Keywords:
- Y-type four-level /
- Doppler broadening /
- probe field absorption /
- vacuum induced coherence
[1] Harris S E, Field J E, Imamoglu A 1990 Phys. Rev. Lett. 64 1107
[2] Boller K J, Imamoglu A, Harris S E 1991 Phys. Rev. Lett. 66 2593
[3] Mompart J, Corbalan R 2000 J. Opt. B: Quant. Semiclas. Opt. 2R4
[4] Matsko A B, Kocharovskaya O, Rostovtsev Y, Welch G R, ZibrovA S, Scully M O 2001 Adv. At. Mol. Opt. Phys. 46 191
[5] Phillips D F, Fleischhauer A, Mair A 2001 Phys. Rev. Lett. 86 783
[6] Harris S E, Hau L 1999 Phys. Rev. Lett. 82 4611
[7] Harris S E 1997 Phys. Today 50 32
[8] Marangos J P 1998 J. Modern Opt. 45 471
[9] Roy D 2011 Phys. Rev. Lett. 106 053601
[10] Yan D, Gao J Y, Bao Q Q, Yang H, Wang H, Wu J H 2011 Phys.Rev. A 83 033830
[11] Bahrim C, Nelson C 2011 Phys. Rev. A 83 033804
[12] Huang S, Agarwal G S 2011 Phys. Rev. A 83 023823
[13] Niu J Y, Pei L Y,Wu L A, Fu P M 2010 Chin. Phys. B 19 113209
[14] Ba N, Gao J W, Tian X X, Wu X, Wu J H 2010 Chin. Phys. B 19074208
[15] Wang L, Li G Q, Xiao S W, Zheng C B 2010 Acta Phys. Sin. 598512 (in Chinese) [王丽, 李根全, 肖绍武, 郑长波 2010 59 8512]
[16] She Y C, Wang D L, Ding J W 2009 Acta Phys. Sin. 58 3198 (inChinese) [佘彦超, 王登龙, 丁建文 2009 58 3198 ]
[17] Yang Y M, Xu Q M, Zhang Y P 2009 Acta Phys. Sin. 58 290(in Chinese)[杨永明, 许启明, 张彦鹏 2009 58 290]
[18] 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 58 5778]
[19] Yang B D, Gao J, Liang Q B,Wang J, Zhang T C,Wang J M 2011Chin. Phys. B 20 044202
[20] Berman P R 2005 Phys. Rev. A 72 035801
[21] Ant?on M A, Calder?on O G, Carre?no F 2005 Phys. Rev. A 72023809
[22] Gonzalo I, Ant?on M A, Carre?no F, Calder?on O G 2005 Phys. Rev.A 72 033809
[23] Niu Y P, Gong S Q 2006 Phys. Rev. A 73 053811
[24] Cui N, Fan X J, Tian S F, Ma H, Li A Y, Xu Z Z 2006 J. ModernOpt. 53 1165
[25] Li A Y, Ma H, Tan X, Yang Y L, Tong D M, Fan X J 2007 Opt.Commun. 280 397
[26] Li A J, Song X L,Wei X G,Wang L , Gao J Y 2008 Phys. Rev. A77 053806
[27] 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]
[28] Osman K I, Hassan S S, Joshi A 2009 Eur. Phys. J. D 54 119
[29] Braunstein D, Shuker R 2009 J. Phys. B: At. Mol. Opt. Phys. 42125401
[30] Weatherall J O, Search C P 2010 Phys. Rev. A 81 023806
[31] Hou B P, WangS J, Yu W L, Sun W L 2004 Phys. Rev. A 69053805
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[1] Harris S E, Field J E, Imamoglu A 1990 Phys. Rev. Lett. 64 1107
[2] Boller K J, Imamoglu A, Harris S E 1991 Phys. Rev. Lett. 66 2593
[3] Mompart J, Corbalan R 2000 J. Opt. B: Quant. Semiclas. Opt. 2R4
[4] Matsko A B, Kocharovskaya O, Rostovtsev Y, Welch G R, ZibrovA S, Scully M O 2001 Adv. At. Mol. Opt. Phys. 46 191
[5] Phillips D F, Fleischhauer A, Mair A 2001 Phys. Rev. Lett. 86 783
[6] Harris S E, Hau L 1999 Phys. Rev. Lett. 82 4611
[7] Harris S E 1997 Phys. Today 50 32
[8] Marangos J P 1998 J. Modern Opt. 45 471
[9] Roy D 2011 Phys. Rev. Lett. 106 053601
[10] Yan D, Gao J Y, Bao Q Q, Yang H, Wang H, Wu J H 2011 Phys.Rev. A 83 033830
[11] Bahrim C, Nelson C 2011 Phys. Rev. A 83 033804
[12] Huang S, Agarwal G S 2011 Phys. Rev. A 83 023823
[13] Niu J Y, Pei L Y,Wu L A, Fu P M 2010 Chin. Phys. B 19 113209
[14] Ba N, Gao J W, Tian X X, Wu X, Wu J H 2010 Chin. Phys. B 19074208
[15] Wang L, Li G Q, Xiao S W, Zheng C B 2010 Acta Phys. Sin. 598512 (in Chinese) [王丽, 李根全, 肖绍武, 郑长波 2010 59 8512]
[16] She Y C, Wang D L, Ding J W 2009 Acta Phys. Sin. 58 3198 (inChinese) [佘彦超, 王登龙, 丁建文 2009 58 3198 ]
[17] Yang Y M, Xu Q M, Zhang Y P 2009 Acta Phys. Sin. 58 290(in Chinese)[杨永明, 许启明, 张彦鹏 2009 58 290]
[18] 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 58 5778]
[19] Yang B D, Gao J, Liang Q B,Wang J, Zhang T C,Wang J M 2011Chin. Phys. B 20 044202
[20] Berman P R 2005 Phys. Rev. A 72 035801
[21] Ant?on M A, Calder?on O G, Carre?no F 2005 Phys. Rev. A 72023809
[22] Gonzalo I, Ant?on M A, Carre?no F, Calder?on O G 2005 Phys. Rev.A 72 033809
[23] Niu Y P, Gong S Q 2006 Phys. Rev. A 73 053811
[24] Cui N, Fan X J, Tian S F, Ma H, Li A Y, Xu Z Z 2006 J. ModernOpt. 53 1165
[25] Li A Y, Ma H, Tan X, Yang Y L, Tong D M, Fan X J 2007 Opt.Commun. 280 397
[26] Li A J, Song X L,Wei X G,Wang L , Gao J Y 2008 Phys. Rev. A77 053806
[27] 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]
[28] Osman K I, Hassan S S, Joshi A 2009 Eur. Phys. J. D 54 119
[29] Braunstein D, Shuker R 2009 J. Phys. B: At. Mol. Opt. Phys. 42125401
[30] Weatherall J O, Search C P 2010 Phys. Rev. A 81 023806
[31] Hou B P, WangS J, Yu W L, Sun W L 2004 Phys. Rev. A 69053805
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