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The quantum-information theoretic notation of the Winger-Yanse skew information has been used to analyze the process of information transfer between probe fields and atomic ensemble in the electromagnetically induced transparency. It is well known that the skew information is a well-defined measure that quantifies the amount of the information a quantum state contains. We have calculated the dynamical skew information of the probe fields and the atomic ensemble, and found that the information for the individual atom is dependent of the numbers of the particles and the photons, as well as the state of the probe field. For a sufficiently weak coherent driving field, the dark-state polaritons is a purely atomic state with no photons in the composite system, and the information of the individual atom reaches the maximum value. However, the information of the probe field is not completely transferred into the atomic ensemble.
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Keywords:
- electromagnetically induced transparency /
- dark-state polaritons /
- Wigner-Yanse skew information
[1] Gray H R, Whitley R M, Stroud C R 1978 Jr. Opt. Lett. 3 218
[2] Renzoni F, Maichen W, Windholz L, Arimondo E 1997 Phys. Rev. A 55 3710
[3] Hong Yuan Ling 1996 Phys. Rev. A 53 1014
[4] Harris S E, Field J E, Kasapi A 1992 Phys. Rev. A 46 29
[5] Harris S E 1997 Phys. Today 50 36
[6] Lezama A, Barreiro S, Akulshin A M 1999 Phys. Rev. A 59 4732
[7] Yan S H, Zhang H Z, Guo X Z, Wang D, Gao J Y 1998 Acta Phys. Sin. 47 931 (in Chinese) [杨苏辉, 张汉壮, 国秀珍, 王冬, 高锦岳 1998 47 931]
[8] Liu Z D, Wu Q 2004 Acta Phys. Sin. 53 2970 (in Chinese) [刘正东, 武强 2004 53 2970]
[9] Lu C H, Tan L, Tan W T 2011 Acta Phys. Sin. 60 024204 (in Chinese) [吕纯海, 谭磊, 谭文婷 2011 60 024204]
[10] Li X L, Zhang L S, Sun J, Feng X M 2012 Acta Phys. Sin. 61 044202 (in Chinese) [李晓莉, 张连水, 孙江, 冯晓敏 2012 61 044202]
[11] Fleischhauer M, Keitel C H, Scully M O, Su C 1992 Opt. Commun. 87 109
[12] Narducci L M, Doss H M 1991 Opt. Commun. 81 379
[13] Zhu Y F 1992 Phys. Rev. A 45 6149
[14] Lukin M D, Yelin S F, Fleischhauer M 2000 Phys. Rev. Lett. 84 4232
[15] Fleischhauer M, Lukin M D 2000 Phys. Rev. Lett. 84 5094
[16] Mattias Johnsson, Klaus Momer 2004 Phys. Rev. A 70 032320
[17] Schori C, Julsgaard B, Soensen J L, Polzik E S 2002 Phys. Rev. Lett. 89 057903
[18] Sun C P, Li Y, Liu X F 2003 Phys. Rev. Lett. 91 147903
[19] Wigner E P, Yanase M M 1963 Proc. Natl. Acad. Sci. USA, 49
[20] Luo S L 2003 Phys. Rev. Lett. 91 18
[21] Chen Z Q 2005 Phys. Rev. A 71 052302
[22] Liu W F, Yin X C, Zhang L H 2011 Int. J. Theor. Phys. 50 3375
[23] Sun H G, Liu W F, Li C J 2011 Chin. Phys. B 20 090301
[24] Zhang L H, Liu W F, Li C J 2010 J. At. Mol. Phys. 27 893 (in Chinese) [章礼华, 刘万芳, 李春杰 2010 原子与分子 27 893]
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[1] Gray H R, Whitley R M, Stroud C R 1978 Jr. Opt. Lett. 3 218
[2] Renzoni F, Maichen W, Windholz L, Arimondo E 1997 Phys. Rev. A 55 3710
[3] Hong Yuan Ling 1996 Phys. Rev. A 53 1014
[4] Harris S E, Field J E, Kasapi A 1992 Phys. Rev. A 46 29
[5] Harris S E 1997 Phys. Today 50 36
[6] Lezama A, Barreiro S, Akulshin A M 1999 Phys. Rev. A 59 4732
[7] Yan S H, Zhang H Z, Guo X Z, Wang D, Gao J Y 1998 Acta Phys. Sin. 47 931 (in Chinese) [杨苏辉, 张汉壮, 国秀珍, 王冬, 高锦岳 1998 47 931]
[8] Liu Z D, Wu Q 2004 Acta Phys. Sin. 53 2970 (in Chinese) [刘正东, 武强 2004 53 2970]
[9] Lu C H, Tan L, Tan W T 2011 Acta Phys. Sin. 60 024204 (in Chinese) [吕纯海, 谭磊, 谭文婷 2011 60 024204]
[10] Li X L, Zhang L S, Sun J, Feng X M 2012 Acta Phys. Sin. 61 044202 (in Chinese) [李晓莉, 张连水, 孙江, 冯晓敏 2012 61 044202]
[11] Fleischhauer M, Keitel C H, Scully M O, Su C 1992 Opt. Commun. 87 109
[12] Narducci L M, Doss H M 1991 Opt. Commun. 81 379
[13] Zhu Y F 1992 Phys. Rev. A 45 6149
[14] Lukin M D, Yelin S F, Fleischhauer M 2000 Phys. Rev. Lett. 84 4232
[15] Fleischhauer M, Lukin M D 2000 Phys. Rev. Lett. 84 5094
[16] Mattias Johnsson, Klaus Momer 2004 Phys. Rev. A 70 032320
[17] Schori C, Julsgaard B, Soensen J L, Polzik E S 2002 Phys. Rev. Lett. 89 057903
[18] Sun C P, Li Y, Liu X F 2003 Phys. Rev. Lett. 91 147903
[19] Wigner E P, Yanase M M 1963 Proc. Natl. Acad. Sci. USA, 49
[20] Luo S L 2003 Phys. Rev. Lett. 91 18
[21] Chen Z Q 2005 Phys. Rev. A 71 052302
[22] Liu W F, Yin X C, Zhang L H 2011 Int. J. Theor. Phys. 50 3375
[23] Sun H G, Liu W F, Li C J 2011 Chin. Phys. B 20 090301
[24] Zhang L H, Liu W F, Li C J 2010 J. At. Mol. Phys. 27 893 (in Chinese) [章礼华, 刘万芳, 李春杰 2010 原子与分子 27 893]
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