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By using multiple-scale methods, we study analytically the propagation properties of the weak linear polarization probe optical field in a cold lifetime-broadened five-level V type atomic system via electromagnetically induced transparency. It is shown that with the strength of the coupling field increasing, the absorption of the probe optical field decreases rapidly and the group velocity of the probe optical field increases quickly under the consideration of linear effect. However, the velocity is several orders of magnitude slower than the light speed in vacuum. Meanwhile, we find that for the same magnetic field the nonlinear Faraday rotation direction is opposite to linear Faraday rotation, and its rotation angle grows bigger than that of linear Faraday rotation. These results mean that the Faraday rotation of the electromagnetically induced transparency medium can be controlled by the nonlinear effect.
[1] Faraday M 1846 Philos. Mag. 28 294
[2] Kimura M, Kondo H, Hattori S 1965 J. Phys. Soc. Jpn. 20 1778
[3] Day G W, Payne D N, Barlow A J, Ramskov-Hansent J J 1982 Opt. Lett. 7 238
[4] Budker D, Gawlik W, Kimball D F, Rochester S M, Yashchuk V V, Weis A 2002 Rev. Mod. Phys. 74 1153
[5] Liang Z C, Zhao R, Bao G 2009 Acta Phys. Sin. 58 5479 (in Chinese) [梁忠诚、赵 瑞、包 刚 2009 58 5479]
[6] Ghosh A, Hill W, Fischer P 2007 Phys. Rev. A 76 055402
[7] Zhang L, Zhang R 2008 J. Magn. Magn. Mater. 320 1849
[8] Takei N, Takeuchi M, Eto Y, Noguchi A, Zhang P, Ueda M, Kozuma M 2010 Phys. Rev. A 81 042331
[9] Zhang F, Xu Y, Yang J, Guillot M 2000 J. Phys.: Condens. Matter 12 7287
[10] Yan F, Cui M Q, Chen K, Sun L J, Xi S B, Zhou K J, Zheng L, Zhao Y D, Wang Z S, Zhu J T, Zhang Z, Zhao J 2008 Acta Phys. Sin. 57 2860 (in Chinese) [鄢 芬、崔明启、陈 凯、孙立娟、席识博、周克瑾、郑 雷、赵屹东、王占山、朱京涛 张众、赵 佳 2008 57 2860]
[11] Nath R, Santos L 2010 Phys. Rev. A 81 033626
[12] Wojciechowski A, Corsini E, Zachorowski J, Gawlik W 2010 Phys. Rev. A 81 053420
[13] Harris S E, Field J E, Imamoglu A 1990 Phys. Rev. Lett. 64 1107
[14] Fleischhauer M, Imamoglu A, Marangos J P 2005 Rev. Mod. Phys. 77 633
[15] She Y C, Wang D L, Zhang W X, He Z M, Ding J W 2010 J. Opt. Soc. Am. B 27 208
[16] Huang G X, Deng L, Payne M G 2005 Phys. Rev. E 72 016617
[17] Hang C, Huang G X, Deng L 2006 Phys. Rev. E 74 046601
[18] Yang W X, Chen A X, Si L G, Jiang K, Yang X, Lee R K 2010 Phys. Rev. A 81 023814
[19] Yang W X, Lee R K 2008 Euro. Phys. Lett. 83 14002
[20] Yan S B, Liu T, Geng T, Zhang T C, Peng K C, Wang J M 2004 Chin. Phys. 13 1669
[21] Li J H, Yang W X, Peng J C 2004 Chin. Phys. 13 1694
[22] Li Y Y, Hou X, Bai J T, Yan J F, Gan C L, Zhang Y P 2008 Chin. Phys. B 17 2885
[23] Ba N, Gao J W, Tian X X, Wu X, Wu J H 2010 Chin. Phys. B 19 074208
[24] Zhang L Y, Liu Z D 2005 Acta Phys. Sin. 54 3641 (in Chinese) [张丽英、刘正东 2005 54 3641]
[25] Drampyan R, Pustelny S, Gawlik W 2009 Phys. Rev. A 80 0338115
[26] Hang C, Huang G X 2007 Chin. Opt. Lett. 5 47
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[1] Faraday M 1846 Philos. Mag. 28 294
[2] Kimura M, Kondo H, Hattori S 1965 J. Phys. Soc. Jpn. 20 1778
[3] Day G W, Payne D N, Barlow A J, Ramskov-Hansent J J 1982 Opt. Lett. 7 238
[4] Budker D, Gawlik W, Kimball D F, Rochester S M, Yashchuk V V, Weis A 2002 Rev. Mod. Phys. 74 1153
[5] Liang Z C, Zhao R, Bao G 2009 Acta Phys. Sin. 58 5479 (in Chinese) [梁忠诚、赵 瑞、包 刚 2009 58 5479]
[6] Ghosh A, Hill W, Fischer P 2007 Phys. Rev. A 76 055402
[7] Zhang L, Zhang R 2008 J. Magn. Magn. Mater. 320 1849
[8] Takei N, Takeuchi M, Eto Y, Noguchi A, Zhang P, Ueda M, Kozuma M 2010 Phys. Rev. A 81 042331
[9] Zhang F, Xu Y, Yang J, Guillot M 2000 J. Phys.: Condens. Matter 12 7287
[10] Yan F, Cui M Q, Chen K, Sun L J, Xi S B, Zhou K J, Zheng L, Zhao Y D, Wang Z S, Zhu J T, Zhang Z, Zhao J 2008 Acta Phys. Sin. 57 2860 (in Chinese) [鄢 芬、崔明启、陈 凯、孙立娟、席识博、周克瑾、郑 雷、赵屹东、王占山、朱京涛 张众、赵 佳 2008 57 2860]
[11] Nath R, Santos L 2010 Phys. Rev. A 81 033626
[12] Wojciechowski A, Corsini E, Zachorowski J, Gawlik W 2010 Phys. Rev. A 81 053420
[13] Harris S E, Field J E, Imamoglu A 1990 Phys. Rev. Lett. 64 1107
[14] Fleischhauer M, Imamoglu A, Marangos J P 2005 Rev. Mod. Phys. 77 633
[15] She Y C, Wang D L, Zhang W X, He Z M, Ding J W 2010 J. Opt. Soc. Am. B 27 208
[16] Huang G X, Deng L, Payne M G 2005 Phys. Rev. E 72 016617
[17] Hang C, Huang G X, Deng L 2006 Phys. Rev. E 74 046601
[18] Yang W X, Chen A X, Si L G, Jiang K, Yang X, Lee R K 2010 Phys. Rev. A 81 023814
[19] Yang W X, Lee R K 2008 Euro. Phys. Lett. 83 14002
[20] Yan S B, Liu T, Geng T, Zhang T C, Peng K C, Wang J M 2004 Chin. Phys. 13 1669
[21] Li J H, Yang W X, Peng J C 2004 Chin. Phys. 13 1694
[22] Li Y Y, Hou X, Bai J T, Yan J F, Gan C L, Zhang Y P 2008 Chin. Phys. B 17 2885
[23] Ba N, Gao J W, Tian X X, Wu X, Wu J H 2010 Chin. Phys. B 19 074208
[24] Zhang L Y, Liu Z D 2005 Acta Phys. Sin. 54 3641 (in Chinese) [张丽英、刘正东 2005 54 3641]
[25] Drampyan R, Pustelny S, Gawlik W 2009 Phys. Rev. A 80 0338115
[26] Hang C, Huang G X 2007 Chin. Opt. Lett. 5 47
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