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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  • [in Chinese]
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    Based on the SU(2) group structure of Jaynes-Cummings model, its time evolution operator were obtained by using the algebraic method. As an application of the solution, the exact result of state |Ψ(t)? of the system evoluting with time at any given time t in the condition that the initial state of system is |e,n? was given. Then, the probability Pe(t) of finding the atom in excited state |e? at time t was obtained in the condition that the initial state of the system is |g,α?. The superiority of the solution was discussed lastly.

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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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