Supersymmetric Reshaping and Higher‐Dimensional Rearrangement of Photonic Lattices

Integrated Jx 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 coherent transfer of states. However, date large-scale implementation remains challenging. This study applies concepts from supersymmetry (SUSY) construct two-dimensional (2D) systems with spectra identical that one-dimensional (1D) lattices. While exhibiting different dynamics, these 2D equivalent retain key state properties 1D counterpart. The method extends all separable facilitates experimental fabrication circuits.