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arXiv · 1608.00358

Simulating the classical XY model with a laser network

Shuhei Tamate·Yoshihisa Yamamoto·Alireza Marandi·Peter McMahon·Shoko Utsunomiya
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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.

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Shuhei Tamate, Yoshihisa Yamamoto, Alireza Marandi, Peter McMahon, Shoko Utsunomiya. 2016-08-01. Simulating the classical XY model with a laser network. https://arxiv.org/abs/1608.00358

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