Realization of two-dimensional Aubry-André localization of light waves via electromagnetically induced transparency
Realization of two-dimensional Aubry-André localization of light waves via electromagnetically induced transparency
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DOI：
10.1103/physreva.89.033843
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发表时间：
2014-03
影响因子：
2.9
通讯作者：
Hui-jun Li;Jianpeng Dou;Guoxiang Huang
中科院分区：
文献类型：
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作者：
Hui-jun Li;Jianpeng Dou;Guoxiang Huang
提出了一种构建二维Aubry-Andre(AA)模型，并通过电磁感应透明(EIT)实现光波的二维AA局域化的方案。我们提出的系统是一种冷的、共振的原子气体，具有N型能级配置，并与探测场、控制场、辅助场和远失谐激光场相互作用。结果表明，在EIT条件下，探测场的包络服从具有准周期势的修正的非线性薛定谔方程，当系统参数选择适当时，该方程成为二维的非线性AA模型。准周期势是由辅助光场的交叉相位调制和远失谐激光光场的斯塔克位移得到的。此外，模型中出现的立方非线性项是由探测场的自相位调制贡献的。我们证明，该系统不仅可以实现光波的各种二维AA局域化，而且还可以显示AA局域化的非线性和维度效应。
We propose a scheme to construct a two-dimensional Aubry-Andre (AA) model and realize two-dimensional AA localization of light waves via electromagnetically induced transparency (EIT). The system we suggest is a cold, resonant atomic gas with an N -type level configuration and interacting with probe, control, assisted, and far-detuned laser fields. We show that under EIT conditions the probe-field envelope obeys a modified nonlinear Schrodinger equation with a quasiperiodic potential, which becomes a two-dimensional nonlinear AA model when the system parameters are suitably chosen. The quasiperiodic potential is obtained by the cross-phase modulation of the assisted field and the Stark shift of the far-detuned laser field. In addition, the cubic nonlinearity term appearing in the model is contributed by the self-phase modulation of the probe field. We demonstrate that the system can be used to not only realize various two-dimensional AA localizations of light waves, but also to display nonlinearity and dimensionality effects on the AA localizations.