Two-photon interaction between trapped ions and cavity fields

被引:0
作者
F. L. Semião
A. Vidiella-Barranco
机构
[1] Instituto de Física “Gleb Wataghin”,
[2] Universidade Estadual de Campinas,undefined
来源
The European Physical Journal D | 2007年 / 41卷
关键词
42.50.-p Quantum optics; 32.80.Qk Coherent control of atomic interactions with photons; 32.80.Wr Other multiphoton processes;
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摘要
In this paper, we generalize the ordinary two-photon Jaynes-Cummings model (TPJCM) by considering the atom (or ion) to be trapped in a simple harmonic well. A typical setup would be an optical cavity containing a single ion in a Paul trap. Due to the inclusion of atomic vibrational motion, the atom-field coupling becomes highly nonlinear what brings out quite different behaviours for the system dynamics when compared to the ordinary TPJCM. In particular, we derive an effective two-photon Hamiltonian with dependence on the number operator of the ion's center-of-mass motion. This dependence occurs both in the cavity induced Stark-shifts and in the ion-field coupling, and its role in the dynamics is illustrated by showing the time evolution of the probability of occupation of the electronic levels for simple initial preparations of the state of the system.
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页码:417 / 423
页数:6
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