双色光晶格的光子谱
Photonic spectrum of bichromatic optical lattices
摘要：
研究了双原胞一维光晶格中原子局域在晶格最小点时的光子谱。虽然具有简单Wigner-Seitz盒的一维晶格在原子共振处总是具有光子带隙，但是在该配置中，光子透射光谱可以根据盒内的粒子间距离$\varrho$与盒尺寸$a$之间的比率而呈现无光子带隙、双光子带隙或多光子带隙。针对实际实验参数，评估了原子被困在自由空间和光学谐振腔中时弱入射探针的透射光谱。
英文摘要：
We study the photonic spectrum of a one-dimensional optical lattice possessing a double primitive cell, when the atoms are well localized at the lattice minima. While a one-dimensional lattice with a simple Wigner-Seitz cell always possesses a photonic bandgap at the atomic resonance, in this configuration the photonic transmission spectrum may exhibit none, double or multiple photonic bandgaps depending on the ratio between the interparticle distance $\varrho$ inside the cell and the cell size $a$. The transmission spectra of a weak incident probe are evaluated when the atoms are trapped in free space and inside an optical resonator for realistic experimental parameters.
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