Work

Scalable and Programmable Emulation of Photonic Hyperbolic Lattices

Year: 2024

Type: article

Abstract: High Resolution Image Download MS PowerPoint Slide Non-Euclidean geometry, which violates the traditional parallel postulate, encompasses a wide class of physical systems, including fullerenes, space-time structures, and complex networks. A notable example is the hyperbolic lattice, which exhibits unique band properties and topological phenomena compared with those of Euclidean lattices. Although hyperbolic lattices have been effectively realized on a Euclidean plane using projections onto the Poincaré disk, the poor scalability of this approach hinders large-size implementations essential for examining lattice physics. Here, we demonstrate a scalable and reconfigurable emulation of wave dynamics in a hyperbolic lattice by employing programmable photonics. We develop a one-dimensional coupled-resonator lattice with reconfigurable gauge fields and resonances, which emulates unitary wave evolutions inside a hyperbolic lattice. The programmability of our system allows for modeling time-varying hyperbolic lattices including dynamic defects. The superior scalability of our system compared to the realizations using the Poincaré disk and spatial-domain circuits paves the way to extending non-Euclidean photonics into large-scale and dynamical systems.

Source: ACS Photonics

DOI: 10.1021/acsphotonics.4c01184

Authors: Hyungchul Park, Xianji Piao, Sunkyu Yu

Institutions: Seoul National University, University of Seoul

Language: English

Topic: Quantum Mechanics and Non-Hermitian Physics

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $4,500

Funders: Seoul National University, University of Seoul, National Research Foundation of Korea