Simulating the classical XY model with a laser network
Optics
2016-08-02 v1 Quantum Physics
Abstract
Drawing fair samples from the Boltzmann distribution of a statistical model is a challenging task for modern digital computers. We propose a physical implementation of a Boltzmann sampler for the classical XY model by using a laser network. The XY spins are mapped onto the phases of multiple laser pulses in a fiber ring cavity and the steady-state distribution of phases naturally realizes the Boltzmann distribution of the corresponding XY model. We experimentally implement the laser network by using an actively mode-locked fiber laser with optical delay lines, and demonstrate Boltzmann sampling for a one-dimensional XY ring.
Cite
@article{arxiv.1608.00358,
title = {Simulating the classical XY model with a laser network},
author = {Shuhei Tamate and Yoshihisa Yamamoto and Alireza Marandi and Peter McMahon and Shoko Utsunomiya},
journal= {arXiv preprint arXiv:1608.00358},
year = {2016}
}
Comments
5 pages, 5 figures in main text; 6 pages, 3 figures in supplemental material