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arXiv 2406.07214quant-ph
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完美透射共振对非对称扰动的鲁棒性

Robustness of perfect transmission resonances to asymmetric perturbation

Ioannis Kiorpelidis, Panayotis Kalozoumis, Georgios Theocharis, Vassos Achilleos, Fotios K. Diakonos, Vincent Pagneux

AI总结:

本文研究非对称扰动下完美透射共振的鲁棒性,发现利用未扰动系统的镜面对称性与PT对称性可保留PTR,且对偶PTR必然共存,为多波长抗反射及全光二极管设计提供指导。

摘要:

我们研究了非对称扰动对一维有限周期系统完美透射共振(PTRs)的影响。在无扰动情况下,散射区域由N个相同单元组成,透射谱在单胞布洛赫色散的每个通带中至少呈现N-1个PTR。引入扰动后,周期结构被破坏,这先验地导致所有PTR的消除。然而,我们证明当未扰动系统具有镜面对称性时,利用未扰动无反射本征值问题的$\mathcal{PT}$对称性,PTR在非对称扰动下仍可出现。我们还揭示了两个看似独立的PTR之间一个有趣的关联,该关联源于未扰动单胞的对称性:如果一个PTR被保留,则其对偶PTR必然也被保留。我们的发现为设计例如多波长鲁棒抗反射装置或全光二极管器件提供了见解。

英文摘要:

We investigate the impact of asymmetric perturbations on the perfect transmission resonances (PTRs) of one-dimensional finite periodic systems. With no perturbations, the scattering region consists of $N$ identical cells, and the transmission spectrum exhibits at least $N-1$ PTRs in each pass band of the Bloch dispersion of the unit cell. By introducing a perturbation, the periodic structure is broken, which \textit{a priori} results in the elimination of all PTRs. However, we demonstrate that PTRs can still arise under asymmetric perturbations when the unperturbed system possesses mirror symmetry, utilizing the $\mathcal{PT}$ symmetry of the unperturbed reflectionless eigenvalue problem. We also reveal an intriguing connection between two seemingly independent PTRs that lies in the symmetry of the unperturbed unit cell: If one PTR is preserved, then a dual one is necessarily also preserved. Our findings offer insights for the design of, for example, a robust antireflection setup at multiple wavelengths or all-optical diode devices.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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