Spatial Optical Simulator for Classical Statistical Models
Abstract
Optical simulators for the Ising model have demonstrated great promise for solving challenging problems in physics and beyond. Here, we develop a spatial optical simulator for a variety of classical statistical systems, including the clock, , Potts, and Heisenberg models, utilizing a digital micromirror device composed of a large number of tiny mirrors. Spins, with desired amplitudes or phases of the statistical models, are precisely encoded by a patch of mirrors with a superpixel approach. Then, by modulating the light field in a sequence of designed patterns, the spin-spin interaction is realized in such a way that the Hamiltonian symmetries are preserved. We successfully simulate statistical systems on a fully connected network, with ferromagnetic or Mattis-type random interactions, and observe the corresponding phase transitions between the paramagnetic, and the ferromagnetic or spin-glass phases. Our results largely extend the research scope of spatial optical simulators and their versatile applications.
Cite
@article{arxiv.2412.13476,
title = {Spatial Optical Simulator for Classical Statistical Models},
author = {Song-Tao Yu and Ming-Gen He and Sheng Fang and Youjin Deng and Zhen-Sheng Yuan},
journal= {arXiv preprint arXiv:2412.13476},
year = {2024}
}