论文标题
两个发射器连接到带有Kerr样非线性的浴室：指数衰减，分数种群和Rabi振荡
Two emitters coupled to a bath with Kerr-like non-linearity: Exponential decay, fractional populations, and Rabi oscillations
论文作者
论文摘要
我们考虑两个非相互作用的两级发射器，它们弱耦合到一维非线性波导指南。由于Kerr样的非线性，波浪指南还考虑了支撑 - 除了散射连续性 - 两体结合状态。因此，波浪指南模拟了具有非平凡模式结构的浴室。提出了求解时间依赖性的schrödinger方程，即最初在其激发态中制备的两个发射器的辐射动力学。改变发射极频率使两体能量与两体结合状态之一共鸣，从指数衰减到分数种群再到拉比振荡。随着失调，研究了对两个发射器的分离的依赖性。近似降低的希尔伯特空间配方，从而导致有效的发射极分和动量依赖性相互作用，阐明了潜在的物理机制，并提供了一个途径，以展示如果一维波指南不包含非线性，则不存在这些特征。我们的理论发现适用于许多实验平台，可以通过最先进的技术对预测进行测试。此外，基于Schrödinger方程的弱耦合结果为开发主方程方法提供了关键的指导。
We consider two non-interacting two-level emitters that are coupled weakly to a one-dimensional non-linear wave guide. Due to the Kerr-like non-linearity, the wave guide considered supports -- in addition to the scattering continuum -- a two-body bound state. As such, the wave guide models a bath with non-trivial mode structure. Solving the time-dependent Schrödinger equation, the radiation dynamics of the two emitters, initially prepared in their excited states, is presented. Changing the emitter frequency such that the two-emitter energy is in resonance with one of the two-body bound states, radiation dynamics ranging from exponential decay to fractional populations to Rabi oscillations is observed. Along with the detuning, the dependence on the separation of the two emitters is investigated. Approximate reduced Hilbert space formulations, which result in effective emitter-separation and momentum dependent interactions, elucidate the underlying physical mechanisms and provide an avenue to showcase the features that would be absent if the one-dimensional wave guide did not contain a non-linearity. Our theoretical findings apply to a number of experimental platforms and the predictions can be tested with state-of-the-art technology. In addition, the weak-coupling Schrödinger equation based results provide critical guidance for the development of master equation approaches.
