原子衰变增强和抑制的光学模拟
Optical simulation of atomic decay enhancement and suppression
摘要：
我们讨论的衰减到一个工程水库的耦合谐振子在单激发流形的两级系统，并提出其光学模拟与耦合波导的均匀链，其中个别元素耦合到外部波导。我们用两种方法研究了二能级系统处于激发态时几率振幅的光学模拟衰减。玻恩近似使我们能够提供解析的封闭形式的振幅有效的小传播距离。一个傅立叶-拉普拉斯方法允许我们估计一个有效的衰减率有效的长传播距离。在一般情况下，我们的两个解析近似匹配我们的数值模拟使用耦合模式理论，并显示非马尔可夫衰减到工程油藏。特别是，我们专注于两个例子，提供增强或抑制的衰减衰减率使用平顶或高斯耦合分布。
英文摘要：
We discuss the decay of a two-level system into an engineered reservoir of coupled harmonic oscillators in the single-excitation manifold and propose its optical simulation with an homogeneous chain of coupled waveguides where individual elements couple to an external waveguide. We use two approaches to study the decay of the optical analogue for the probability amplitude of the two-level system being in the excited state. A Born approximation allows us to provide analytic closed-form amplitudes valid for small propagation distances. A Fourier-Laplace approach allows us to estimate an effective decay rate valid for long propagation distances. In general, our two analytic approximations match our numerical simulations using coupled mode theory and show non-Markovian decay into the engineered reservoir. In particular, we focus on two examples that provide enhancement or suppression of the decay decay rate using flat-top or Gaussian coupling distributions.
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