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Directional population control beyond the exceptional point in a non-Hermitian system
Physical Review A ( IF 2.9 ) Pub Date : 2021-07-20 , DOI: 10.1103/physreva.104.013111
C. He , R. R. Jones

In the context of dynamical control, non-Hermitian systems offer unique opportunities and challenges. In the simplest case of two interacting levels with gain and/or loss, the existence of an exceptional point (EP) of degeneracy in the chiral complex eigenvalue landscape fundamentally changes how the system responds to adiabatic changes in the coupling γ and energy separation δ of the bare levels. In particular, previous studies have shown that selective population transfer can be achieved by adiabatically steering the system around closed paths that encircle the EP with the proper helicity in the γ vs δ parameter space. Here we show that efficient state-selective population transfer can, in some cases, be achieved even with control loops that do not enclose the EP.

中文翻译:

非厄米系统中超出异常点的定向人口控制

在动态控制的背景下,非厄米系统提供了独特的机遇和挑战。在具有增益和/或损失的两个相互作用水平的最简单情况下,手性复数特征值景观中简并异常点 (EP) 的存在从根本上改变了系统对耦合绝热变化的响应方式γ 和能量分离 δ赤裸裸的水平。特别是,先前的研究表明,选择性的种群转移可以通过绝热引导系统围绕封闭路径来实现,这些路径以适当的螺旋度环绕 EP。γ 对比 δ参数空间。在这里,我们表明,在某些情况下,即使使用不包含 EP 的控制循环,也可以实现有效的状态选择性种群转移。
更新日期:2021-07-20
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