Spin Hamiltonians in the Modulated Momenta of Light
Abstract
Photonic solvers that are able to find the ground states of different spin Hamiltonians can be used to study many interactive physical systems and combinatorial optimization problems. Here, we establish a real-and-momentum space correspondence of spin Hamiltonians by spatial light transport. The real-space spin interaction is determined by modulating the momentum-space flow of light. This principle is formulated as a generalized Plancherel theorem, allowing us to implement a simple optical simulator that can find the ground states for any displacement-dependent spin interactions. Particularly, we use this principle to reveal the exotic magnetic phase diagram from a J1-J2-J3 model, and we also observe the vortex-mediated Berezinskii-Kosterlitz-Thouless dynamics from the XY model. These experiments exhibit high calculation precision by subtly controlling spin interactions from the momentum space of light, offering a promising scheme to explore novel physical effects.
Keywords
Cite
@article{arxiv.2405.00484,
title = {Spin Hamiltonians in the Modulated Momenta of Light},
author = {Juan Feng and Zengya Li and Luqi Yuan and Erez Hasman and Bo Wang and Xianfeng Chen},
journal= {arXiv preprint arXiv:2405.00484},
year = {2026}
}
Comments
18 pages, 5 figures