Supersymmetric Reshaping and Higher‐Dimensional Rearrangement of Photonic Lattices

• Published in: Laser & photonics reviews Vol. 17; no. 10
• Main Authors: Wolterink, Tom A. W., Heinrich, Matthias, Szameit, Alexander
• Format: Journal Article
• Language: English
• Published: Weinheim Wiley Subscription Services, Inc 01-10-2023
• Subjects: Eigenvalues; Harmonic oscillators; Lattices; Photonics; Spectra; Supersymmetry
• ISSN: 1863-8880; 1863-8899
• DOI: 10.1002/lpor.202300200

Abstract
Integrated
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photonic lattices, inspired by the quantum harmonic oscillator and due to their equidistant eigenvalue spectrum, have 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. This study applies concepts from supersymmetry (SUSY) to construct two‐dimensional (2D) systems with spectra identical to that of one‐dimensional (1D)
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lattices. While exhibiting different dynamics, these 2D equivalent systems retain the key imaging and state transfer properties of their 1D
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counterpart. The method extends to all systems with separable spectra and facilitates experimental fabrication of large‐scale photonic circuits.