论文标题

超级培养基中多层干扰的主方程

Master equation for multilevel interference in a superradiant medium

论文作者

Konovalov, Aleksei, Morigi, Giovanna

论文摘要

我们为超级介质的主方程得出了一个主方程,其中包括各个散点子中的多级干扰。该派生依赖于born-markov的近似,并实现了粗糙的形式主义。主方程满足了lindblad的形式,并包含描述单原子多级干扰,相同过渡之间的多原子干扰以及具有并行偶极子的不同电子过渡之间的多原子干扰。然后,将这种形式主义应用于使用氢过渡的参数2s $ _ {1/2} \,\,到$ 4P $ _ {1/2} $和2S $ _ {1/2} \,\,\,\,\,\ to $ 4p $ _ gap之间的d.由于距离的函数,分析了由于多级和多发射极干扰的相互作用引起的信号的失真。这些结果表明,平行偶极过渡之间的干扰可以显着影响光学致密培养基的光谱特性。

We derive a master equation for a superradiant medium which includes multilevel interference betwen the individual scatterers. The derivation relies on the Born-Markov approximation and implements the coarse graining formalism. The master equation fulfils the Lindblad form and contains terms describing single-atom multilevel interference, multi-atom interference between identical transitions, and multi-atom interference between different electronic transitions with parallel dipoles. This formalism is then applied to determine the excitation spectrum of two emitters using the parameters of the Hydrogen transitions 2S$_{1/2}\,\to$4P$_{1/2}$ and 2S$_{1/2}\,\to$4P$_{3/2}$, where the gap between the parallel dipoles is of the order of GHz. The distortion of the signal due to the interplay of multilevel and multi-emitter interference is analysed as a function of their distance. These results suggest that interference between parallel dipolar transition can significantly affect the spectroscopic properties of optically dense media.

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