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Communications in Theoretical Physics

Dynamics of Two-Level Atom with Moving Mass Center Considering the Multiphoton Transitions

Yi Xue-Xi

Published Sep 15, 1996• 1 citation
Publisher

Abstract

We study the effect of moving mass center on atomic dynamics for various initial conditions, and the two-level atom coupled locally in inhomogeneous cavity to a near-resonant single-mode quantized field and the atomic levels are coupled by the multiphoton transitions. Our study shows that, the Doppler effect exercised by the motion of atom can lead to the modified phenomenon of oscillation collapse and revival in the atomic population inversion at the beginning of evolution.

DOI
10.1088/0253-6102/26/2/249

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We study the effect of moving mass center on atomic dynamics for various initial conditions, and the two-level atom coupled locally in inhomogeneous cavity to a near-resonant single-mode quantized field and the atomic levels are coupled by the multiphoton transitions. Our study shows that, the Doppler effect exercised by the motion of atom can lead to the modified phenomenon of oscillation collapse and revival in the atomic population inversion at the beginning of evolution.
The quantum dynamics of a system consisting of a moving two-level atom and a single-mode electromagnetic field in the standing-wave resonator is studied by using the stationary phase approximation. The conditions resulting in the emergence of the collapse — revival effect of Doppler — Rabi oscillations are analysed for the initial coherent state of the electromagnetic field in the resonator. It is shown that both the character and the possibility of this effect emergence directly depend on the initial parameters of the system: the rate of the atomic centre-of-mass motion, coupling constants of the atom with the field, the mean number of photons in the resonator. Under conditions when the collapse — revival effect is absent, the system dynamics qualitatively depends on the intial electronic state of the atom.
Collapse and revival of the Doppler-Rabi oscillations of a two-level atom moving in a cavity electromagnetic field are analyzed. The coupled atom-field dynamics are predicted accurately by numerical calculation and approximately by using the stationary phase approximation combined with the Poisson summation formula. The collapse and revival patterns are shown to be qualitatively different in the cases of moving atom and atom at rest. In particular, quantum revivals of Doppler-Rabi oscillations occur with a period determined by the Doppler shift of the atomic transition frequency. This regime of Doppler-Rabi oscillations requires that the Rabi frequency and the Doppler shift satisfy the condition Ω R ≪ Ω D . Under the inverse relation, the collapse- revival phenomenon generally does not occur. It is shown that even a small amount of atom-cavity detuning eliminates collapse-revival behavior. The analysis is performed for both coherent and thermal cavity fields.
It has great meaning to study the effect of a moving mirror in a cavity on the dynamic behavior of a two-level atom injected in the cavity. In this paper, for a system composed of a two-level injected atom and a single-mode field and a moving mirror in the cavity (the moving mirror to be regarded as a quantum harmonic oscillator with frequency ωm), the time-evolution of its state is obtained by means of complete quantum theory in the interaction picture. The time-evolution of the atomic population is derived on the basis of former investigations. It is found that the atomic population oscillates near its initial value. The result shows that the periodic motion of the mirror has a periodic effect on the atomic population.