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Published June 13, 2018 | Submitted
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Simulating the classical XY model with a laser network

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.

Additional Information

The authors thank Hiroki Takesue, Takahiro Inagaki, Ryan Hamerly, Kenta Takata, Yoshitaka Haribara, Hiromasa Sakaguchi, and Yutaka Takeda for valuable discussions. This work was funded by the Impulsing Paradigm Change through Disruptive Technologies (ImPACT) Program of the Council of Science, Technology and Innovation, Japan.

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Created:
August 20, 2023
Modified:
October 18, 2023