论文标题
光子晶格的超对称重塑和更高维的重排
Supersymmetric reshaping and higher-dimensional rearrangement of photonic lattices
论文作者
论文摘要
综合的JX光子晶格灵感来自量子谐波振荡器，由于其等距特征值光谱，已被证明对各种应用非常有用，例如量子状态的完美成像和相干传递。但是，迄今为止，他们的大规模实施仍然具有挑战性。我们应用来自超对称的概念来构建具有与一维（1D）JX晶格相同的光谱的二维（2D）系统。在表现出不同的动力学时，这些2D系统保留了1D JX晶格的关键成像和状态传递性能。我们的方法扩展到具有可分离光谱的其他系统，可促进实验性制造，并可能增加对大型光子电路中制造缺陷的鲁棒性。
Integrated Jx photonic lattices, inspired by the quantum harmonic oscillator and due to their equidistant eigenvalue spectrum, have been proven extremely useful for various applications, such as perfect imaging and coherent transfer of quantum states. However, to date their large-scale implementation remains challenging. We apply concepts from supersymmetry to construct two-dimensional (2D) systems with spectra identical to that of one-dimensional (1D) Jx lattices. While exhibiting different dynamics, these 2D systems retain the key imaging and state transfer properties of the 1D Jx lattice. Our method extends to other systems with separable spectra, facilitates experimental fabrication, and may increase robustness to fabrication imperfections in large-scale photonic circuits.
