使用慢光超材料波导的超高Purcell因子和Lamb位移
Ultrahigh Purcell factors and Lamb shifts using slow-light metamaterial waveguides
摘要：
采用介质相关的量子光学方法和麦克斯韦方程组的格林函数解，研究了嵌入慢光超材料波导表面附近的量子点或原子的增强自发发射因子（Purcell因子）和兰姆位移.对于分别放置在平板表面上方28 \thinspace nm（0.02 \thinspace $λ_{0}$）处的$p-$极化偶极子和$s-$极化偶极子，在光学频率处发现大约250和100的Purcell因子，包括$γ/2π=2 \mathrm{THz}$的实际超材料损耗因子。对于较小的损耗值，我们证明了奇超材料波导传播模式的慢光制度可以观察到，并与不同的共振在珀塞尔因子。相应地，我们预测异常大和丰富的兰姆位移约-1 GHz至-6 GHz的偶极矩为50德拜。我们也做了一个直接计算的远场发射光谱，其中包含直接测量访问这些增强的Purcell因子和兰姆位移。
英文摘要：
Employing a medium-dependent quantum optics formalism and a Green function solution of Maxwell's equations, we study the enhanced spontaneous emission factors (Purcell factors) and Lamb shifts from a quantum dot or atom near the surface of a %embedded in a slow-light metamaterial waveguide. Purcell factors of approximately 250 and 100 are found at optical frequencies for $p-$polarized and $s-$polarized dipoles respectively placed 28\thinspace nm (0.02\thinspace $λ_{0}$) above the slab surface, including a realistic metamaterial loss factor of $γ/2π=2 \mathrm{THz}$. For smaller loss values, we demonstrate that the slow-light regime of odd metamaterial waveguide propagation modes can be observed and related to distinct resonances in the Purcell factors. Correspondingly, we predict unusually large and rich Lamb shifts of approximately -1 GHz to -6 GHz for a dipole moment of 50 Debye. We also make a direct calculation of the far field emission spectrum, which contains direct measurable access to these enhanced Purcell factors and Lamb shifts.
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