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In the case of incoherent pumping, laser without population inversion in a resonant three-level Δ -configuration system is investigated. By taking the strong coupling field limit, we obtain the approximate steady-state analytical solution of populations and imaginary part of coherences within the dressed-state regime, and discuss the condition of the generating of laser without inversion and the dependences of population distribution and system gain on Rabi frequency of the probe and coherence fields. The results show that the resonant three-level Δ-configuration system is always in the state of no population inversion, and laser without inversion occurs if one of the two fields is strong. When one of the two fields is much stronger than the other one, the gain without inversion is independent of the two Rabi frequencies.
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Keywords:
- quantum optics /
- laser without inversion /
- cyclic transition /
- incoherent pumping
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[2] Fan X J, Cui N, Ma H, Li A Y, Li H 2006 Eur. Phys. J. D 37 129
[3] Braunstein D, Shuker R 2009 J. Phys. B 42 125401
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[5] Hu X M, Xu Z Z 2001 J. Phys. B 34 2927
[6] Ma H, Bu F G, Qiao H X, Tong D M, Fan X J 2008 Acta Phys. Sin. 57 206 (in Chinese) [马慧, 卜凡阁, 乔红霞, 仝殿民, 樊锡君 2008 57 206]
[7] 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]
[8] Qiao H X, Yang Y L, Tan X, Tong D M, Fan X J 2008 Chin. Phys. B 17 3734
[9] Yang Y L, Liu Z B, Wang L, Tong D M, Fan X J 2009 Chin. Phys. B 18 1054
[10] Fan X J, Ma H, Liu Z B, Tong D M 2009 Chin. Phys. B 18 5342
[11] Sun W F, Li M C, Zhao L C 2010 Acta Phys. Sin. 59 6185 (in Chinese) [孙伟峰, 李美成, 赵连城 2010 59 6185]
[12] 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]
[13] Xu W H, Wu J H, Gao J Y 2007 Chin. Phys. 16 441
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[15] Fan X J, Li J J, Tong D M, Liu C P, Gong S Q, Xu Z Z 2005 J. Mod. Opt. 52 2127
[16] Fan X J, Cui N, Tian S F, Ma H, Gong S Q, Xu Z Z 2005 J. Mod. Opt. 52 2759
[17] Zhu M Z, Zhao C R, Fan X J, Gong S Q , Xu Z Z 2006 J. Mod. Opt. 53 2101
[18] Zibrov A S, Lukin M D, Nikonov D E, Hollberg L, Scully M O, Velichansky V L, Robinson H G 1995 Phys. Rev. Lett. 75 1499
[19] 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
[20] Jia W Z, Wei L F 2010 Phys. Rev. A 82 013808
[21] Xu W H, Wu J H, Gao J Y 2003 Opt. Commun. 223 367
[22] Li H, Sautenkov V A, Rostovtsev Y V, Wrlch G R, Hemmer P R, Scully M O 2009 Phys. Rev. A 80 023820
[23] Joo J, Bourassa J, Blais A, Sanders B C 2010 Phys. Rev. Lett. 105 073601
[24] Liu Y X, You J Q, Wei L F, Sun C P, Nori F 2005 Phys. Rev. Lett. 95 087001
[25] Deppe F, Mariantoni M, Menzel E P, Marx A, Saito S, Kakuyanagi K, Tanaka H, Meno T, Semba K, Takayanagi H, Solano E, Gross R 2008 Nat. Phys. 4 686
[26] Hou B P, Wang S J, Yu W L, Sun W L 2005 J. Phys. B 38 1419
[27] Ian H, Liu Y, Nori F 2010 Phys. Rev. A 81 063823
[28] Wilson E A, Manson N B, Wei C, Yang L J 2005 Phys. Rev. A 72 063813
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[1] Braunstein D, Shuker R 2001 Phys. Rev. A 64 053812
[2] Fan X J, Cui N, Ma H, Li A Y, Li H 2006 Eur. Phys. J. D 37 129
[3] Braunstein D, Shuker R 2009 J. Phys. B 42 125401
[4] Wang Z H, Hu X M 2004 Acta Phys. Sin. 53 2569 (in Chinese) [王振华, 胡响明 2004 53 2569]
[5] Hu X M, Xu Z Z 2001 J. Phys. B 34 2927
[6] Ma H, Bu F G, Qiao H X, Tong D M, Fan X J 2008 Acta Phys. Sin. 57 206 (in Chinese) [马慧, 卜凡阁, 乔红霞, 仝殿民, 樊锡君 2008 57 206]
[7] 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]
[8] Qiao H X, Yang Y L, Tan X, Tong D M, Fan X J 2008 Chin. Phys. B 17 3734
[9] Yang Y L, Liu Z B, Wang L, Tong D M, Fan X J 2009 Chin. Phys. B 18 1054
[10] Fan X J, Ma H, Liu Z B, Tong D M 2009 Chin. Phys. B 18 5342
[11] Sun W F, Li M C, Zhao L C 2010 Acta Phys. Sin. 59 6185 (in Chinese) [孙伟峰, 李美成, 赵连城 2010 59 6185]
[12] 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]
[13] Xu W H, Wu J H, Gao J Y 2007 Chin. Phys. 16 441
[14] Cui N, Fan X J, Li A Y, Liu C P, Gong S Q, Xu Z Z 2007 Chin. Phys. 16 718
[15] Fan X J, Li J J, Tong D M, Liu C P, Gong S Q, Xu Z Z 2005 J. Mod. Opt. 52 2127
[16] Fan X J, Cui N, Tian S F, Ma H, Gong S Q, Xu Z Z 2005 J. Mod. Opt. 52 2759
[17] Zhu M Z, Zhao C R, Fan X J, Gong S Q , Xu Z Z 2006 J. Mod. Opt. 53 2101
[18] Zibrov A S, Lukin M D, Nikonov D E, Hollberg L, Scully M O, Velichansky V L, Robinson H G 1995 Phys. Rev. Lett. 75 1499
[19] 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
[20] Jia W Z, Wei L F 2010 Phys. Rev. A 82 013808
[21] Xu W H, Wu J H, Gao J Y 2003 Opt. Commun. 223 367
[22] Li H, Sautenkov V A, Rostovtsev Y V, Wrlch G R, Hemmer P R, Scully M O 2009 Phys. Rev. A 80 023820
[23] Joo J, Bourassa J, Blais A, Sanders B C 2010 Phys. Rev. Lett. 105 073601
[24] Liu Y X, You J Q, Wei L F, Sun C P, Nori F 2005 Phys. Rev. Lett. 95 087001
[25] Deppe F, Mariantoni M, Menzel E P, Marx A, Saito S, Kakuyanagi K, Tanaka H, Meno T, Semba K, Takayanagi H, Solano E, Gross R 2008 Nat. Phys. 4 686
[26] Hou B P, Wang S J, Yu W L, Sun W L 2005 J. Phys. B 38 1419
[27] Ian H, Liu Y, Nori F 2010 Phys. Rev. A 81 063823
[28] Wilson E A, Manson N B, Wei C, Yang L J 2005 Phys. Rev. A 72 063813
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