Chinese Journal of Quantum Electronics, Volume. 29, Issue 6, 729(2012)

An exact algebraic solution of Jaynes-Cummings model

Rui HE*
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    References(10)

    [1] [1] Jaynes E T, Cummings F W. Comparison of quantum and semiclassical radiation theories with application to the beam maser [C]. Proc. IEEE, 1963, 51(1): 89-109.

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    [3] [3] Yoo H I, Eberly J H. Dynamical theory of an atom with two or three levels interacting with quantized cavity fields [J]. Phys. Rep., 1985, 118(5): 239-337.

    [4] [4] Kuklinski J R, Madajczyk J L. Strong squeezing in the Jaynes-Cummings model [J]. Phys. Rev. A, 1988, 37(8): 3175-3178.

    [5] [5] Hillery M. Bounds on sub-Poissonian field statistics in the Jaynes-Cummings model [J]. Phys. Rev. A, 1987, 35(10): 4186-4191.

    [6] [6] Fan Hongyi, et al. Pseudo-invariant eigen-operator for deriving energy-level gap for Jaynes-Cummings model [J]. Commun. Theor. Phys., 2006, 45(2): 255-258.

    [9] [9] Bonatsos D, Doskaloyannis C, Lalazissis G A. Unification of Jaynes-Cummings models [J]. Phys. Rev. A, 1993, 47(4): 3448-3451.

    [10] [10] Yu Sixia, Rauch H, Zhang Yongde. Algebraic approach to the Jaynes-Cummings models [J]. Phys. Rev. A, 1995, 52(4): 2585-2590.

    [11] [11] Xu J B, Zou X B, Yu J H. Influence of intrinsic decoherence on nonclassical properties of the two-mode Raman coupled model [J]. Eur. Phys. J D, 2000, 10: 295-300.

    [12] [12] Vadeiko I P, Miroshnichenko G P, Rybin A V, et al. Algebraic approach to the Tavis-Cummings problem [J]. Phys. Rev. A, 2003, 67(5): 053808.

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    HE Rui. An exact algebraic solution of Jaynes-Cummings model[J]. Chinese Journal of Quantum Electronics, 2012, 29(6): 729

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    Paper Information

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    Received: Dec. 8, 2011

    Accepted: --

    Published Online: Nov. 29, 2012

    The Author Email: Rui HE (jrql@yahoo.cn)

    DOI:10.3969/j.issn.1007-5461.2012.06.012

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