Interplay between Fano resonance and PT symmetry in non-Hermitian discrete systems

Interplay between Fano resonance and PT symmetry in non-Hermitian discrete systems
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DOI:
10.1103/physreva.91.042131
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发表时间:
2015-01
期刊:
影响因子:
2.9
通讯作者:
Baogang Zhu;R. Lu;Shu Chen
Baogang Zhu;R. Lu;Shu Chen
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Baogang Zhu;R. Lu;Shu Chen

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本文研究了pt对称复势对非厄米系统输运性质的影响,该系统由一个无限线性链和两个具有pt对称复势的侧耦合缺陷点组成。通过解析求解两种典型模型的散射问题,我们发现pt对称虚势会对系统的输运性质产生一些明显的影响,包括从完美反射到完美透射的变化,以及在一个和两个谐振频率上没有或存在完美反射的丰富行为。我们的研究可以帮助我们理解非厄米离散系统中法诺共振与PT对称性之间的相互作用,这可能在光波导实验中实现。
We study the effect of PT-symmetric complex potentials on the transport properties of non-Hermitian systems, which consist of an infinite linear chain and two side-coupled defect points with PT-symmetric complex on-site potentials. By analytically solving the scattering problem of two typical models, which display standard Fano resonances in the absence of non-Hermitian terms, we find that the PT-symmetric imaginary potentials can lead to some pronounced effects on transport properties of our systems, including changes from the perfect reflection to perfect transmission, and rich behaviors for the absence or existence of the prefect reflection at one and two resonant frequencies. Our study can help us to understand the interplay between the Fano resonance and PT symmetry in non-Hermitian discrete systems, which may be realizable in optical waveguide experiments.