Supersymmetric reshaping and higher-dimensional rearrangement of photonic lattices
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2022
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866929666251554816 |
|---|---|
| author | Wolterink, Tom A. W. Heinrich, Matthias Szameit, Alexander |
| author_facet | Wolterink, Tom A. W. Heinrich, Matthias Szameit, Alexander |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_12847 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Supersymmetric reshaping and higher-dimensional rearrangement of photonic lattices Wolterink, Tom A. W. Heinrich, Matthias Szameit, Alexander Optics Quantum Physics 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. |
| title | Supersymmetric reshaping and higher-dimensional rearrangement of photonic lattices |
| topic | Optics Quantum Physics |
| url | https://arxiv.org/abs/2209.12847 |