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arXiv 1207.6552quant-phphysics.optics
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相位驱动二能级原子的光子晶体实现

A photonic crystal realization of a phase driven two-level atom

B. M. Rodríguez-Lara, Alejandro Zárate Cárdenas, Francisco Soto-Eguibar, Héctor Manuel Moya-Cessa

摘要:

我们提出了一组光子晶体,实现了一个非线性量子拉比模型等效的二能级系统的相位驱动的一个量子化的电磁场。晶体在弱耦合区是完全可溶的,并且它们的色散关系是离散的。该系统被对角化的正常模式相当于一个打扮状态的基础。在强耦合区,我们利用微扰理论,发现色散关系是连续的,并给出了连续分数形式的简正模。我们发现,这些光子晶体允许在弱耦合制度的相干振荡的形式的状态重建。

英文摘要:

We propose a set of photonic crystals that realize a nonlinear quantum Rabi model equivalent to a two-level system driven by the phase of a quantized electromagnetic field. The crystals are exactly soluble in the weak-coupling regime and their dispersion relation is discrete. The system is diagonalized by normal modes equivalent to a dressed state basis. In the strong-coupling regime, we use perturbation theory and find that the dispersion relation is continuous and give the normal modes of the crystal in terms of continued fractions. We show that these photonic crystals allow state reconstruction in the form of coherent oscillations in the weak-coupling regime.

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