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We provide a four-level double-V type atomic system driven by two week probe fields and two strong coupling laser beams. In the condition of resonant four-wave mixing, the two probe fields can be amplified without population inversion. Due to the fact that the two excited states are close- lying upper levels of hyperfine structure, the spontaneously generated coherence (SGC) effect must be considered. Interestingly, the amplitude of gain is sufficiently enhanced with the same parameters as those in the case without considering SGC. In addition, we find that the probe gain is sensitive to the phase of two laser fields which interact with the same lower level. To be more specific, the amplitude of gain is modulated by the phase periodically but restricted by θ (the angle between two induced dipole moments). At the same time, we also analyze the influence of the coherence pumping (strong coupling fields) detuning.
[1] Harris S E 1989 Phys. Rev. Lett. 62 1033
[2] Kocharovskaya O, Khanin Ya I 1988 J. Exp. Theor. Phys. Lett. 48 630
[3] Scully M O, Zhu S Y, Gavridiles A 1989 Phys. Rev. Lett. 62 2813
[4] Fry E S, Li X F, Nikonov D, Padmabandu G G, Scully M O, Smith A V, Tittel F K, Wang C, Wikinson S R, Zhu S Y 1993 Phys. Rev. Lett. 70 3235
[5] Zibrow A S, Lukin M D, Nikonov D E, Hollbery L, Scully M O, Velichansky V L, Robinson H G 1995 Phys. Rev. Lett. 75 1499
[6] Padmabandu G G, Welch G R, Shubin I N, Fry E S, Nikonov D E, Lukin M D, Scully M O 1996 Phys. Rev. Lett. 76 2053
[7] Fan X J, Tian S F, Li J, Liu J, Bai C J 2000 Acta Phys. Sin. 49 1719 (in Chinese) [樊锡军, 田淑芬, 李健, 刘杰, 白成杰 2000 49 1719]
[8] Chang Z G, Liu J C, Yan K Z 2008 Acta Phys. Sin. 57 4927 (in Chinese) [常增光, 刘建成, 闫珂柱 2008 57 4927]
[9] Sun J, Zuo Z C, Mi X, Yu Z H, Wu L A, Fu P M 2005 Acta Phys. Sin. 54 149 (in Chinese) [孙江, 左占春, 米辛, 俞祖和, 吴令安, 傅盘铭 2005 54 149]
[10] Li A J, Gao J Y 2008 Physics 37 144 (in Chinese) [李爱军, 高锦岳 2008 物理 37 144]
[11] Scully M O, Fleischhauer M 1994 Science 263 337
[12] Taubes G 1995 Science 270 737
[13] Marcuse D 1963 Proc. IEEE 51 849
[14] Holt H 1977 Phys. Rev. A 16 1136
[15] Rautian S G, Sobel’man I I 1961 Zh. Eksp. Teor. Fiz. 41 328
[16] Scully M O, Zhu S Y, Gavrielides A 1989 Phys. Rev. Lett. 62 2813
[17] Zhu S Y 1996 Phys. Rev. Lett. 76 388
[18] Wu J H, Li A J, Ding Y, Zhao Y C, Gao J Y 2005 Phys. Rev. A 72 023802
[19] Gao J W, Bao Q Q, Wan R G, Cui C L, Wu J H 2011 Phys. Rev. A 83 053815
[20] Wu J H, Zhang H F, Gao J Y 2003 Opt. Lett. 28 654
[21] Bai Y F, Guo H, Sun H, Han D G, Liu C, Chen X Z 2004 Phys. Rev. A 69 043814
[22] Wu J H, Yu Z L, Gao J Y 2002 Opt. Commun. 211 257
[23] Wu J H, Xu W H, Zhang H F, Gao J Y 2002 Opt. Commun. 206 135
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[1] Harris S E 1989 Phys. Rev. Lett. 62 1033
[2] Kocharovskaya O, Khanin Ya I 1988 J. Exp. Theor. Phys. Lett. 48 630
[3] Scully M O, Zhu S Y, Gavridiles A 1989 Phys. Rev. Lett. 62 2813
[4] Fry E S, Li X F, Nikonov D, Padmabandu G G, Scully M O, Smith A V, Tittel F K, Wang C, Wikinson S R, Zhu S Y 1993 Phys. Rev. Lett. 70 3235
[5] Zibrow A S, Lukin M D, Nikonov D E, Hollbery L, Scully M O, Velichansky V L, Robinson H G 1995 Phys. Rev. Lett. 75 1499
[6] Padmabandu G G, Welch G R, Shubin I N, Fry E S, Nikonov D E, Lukin M D, Scully M O 1996 Phys. Rev. Lett. 76 2053
[7] Fan X J, Tian S F, Li J, Liu J, Bai C J 2000 Acta Phys. Sin. 49 1719 (in Chinese) [樊锡军, 田淑芬, 李健, 刘杰, 白成杰 2000 49 1719]
[8] Chang Z G, Liu J C, Yan K Z 2008 Acta Phys. Sin. 57 4927 (in Chinese) [常增光, 刘建成, 闫珂柱 2008 57 4927]
[9] Sun J, Zuo Z C, Mi X, Yu Z H, Wu L A, Fu P M 2005 Acta Phys. Sin. 54 149 (in Chinese) [孙江, 左占春, 米辛, 俞祖和, 吴令安, 傅盘铭 2005 54 149]
[10] Li A J, Gao J Y 2008 Physics 37 144 (in Chinese) [李爱军, 高锦岳 2008 物理 37 144]
[11] Scully M O, Fleischhauer M 1994 Science 263 337
[12] Taubes G 1995 Science 270 737
[13] Marcuse D 1963 Proc. IEEE 51 849
[14] Holt H 1977 Phys. Rev. A 16 1136
[15] Rautian S G, Sobel’man I I 1961 Zh. Eksp. Teor. Fiz. 41 328
[16] Scully M O, Zhu S Y, Gavrielides A 1989 Phys. Rev. Lett. 62 2813
[17] Zhu S Y 1996 Phys. Rev. Lett. 76 388
[18] Wu J H, Li A J, Ding Y, Zhao Y C, Gao J Y 2005 Phys. Rev. A 72 023802
[19] Gao J W, Bao Q Q, Wan R G, Cui C L, Wu J H 2011 Phys. Rev. A 83 053815
[20] Wu J H, Zhang H F, Gao J Y 2003 Opt. Lett. 28 654
[21] Bai Y F, Guo H, Sun H, Han D G, Liu C, Chen X Z 2004 Phys. Rev. A 69 043814
[22] Wu J H, Yu Z L, Gao J Y 2002 Opt. Commun. 211 257
[23] Wu J H, Xu W H, Zhang H F, Gao J Y 2002 Opt. Commun. 206 135
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