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Generalized Kinetic Approach to the Rabi Dynamics in the Jaynes-Cummings Model |
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PP: 1071-1076 |
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doi:10.18576/amis/200416
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Author(s) |
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N. N. Bogolyubov Jr.,
M. Yu. Rasulova,
I. A. Tishabaev,
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Abstract |
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| We investigate the Rabi dynamics of the Jaynes-Cummings model within the framework of the generalized kinetic equation. Two physically different regimes of the atom-field interaction are considered. For the resonant interaction, the kinetic equation with finite temporal correlations is solved analytically, showing that the conventional Rabi oscillation naturally emerges from the time- dependent evolution of the system. In the weak-coupling off-resonant regime, an analytical kinetic equation is derived by assuming a weak atom-field interaction while retaining the kinetic description of the dynamics. The obtained solution demonstrates that the conventional Rabi oscillation is recovered only when a specific relation between the atom-field detuning and the coupling strength is satisfied. This condition arises naturally from the kinetic formulation, providing a complementary perspective on the coherent dynamics described by the conventional Schro ̈dinger approach. The results show that the generalized kinetic equation not only reproduces the well-known dynamics of the Jaynes-Cummings model but also offers additional physical insight into the emergence of Rabi oscillations. |
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