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Simulating the classical XY model with a laser network

Tamate, Shuhei and Yamamoto, Yoshihisa and Marandi, Alireza and McMahon, Peter and Utsunomiya, Shoko (2016) Simulating the classical XY model with a laser network. . (Submitted)

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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.

Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription Paper
Yamamoto, Yoshihisa0000-0002-4150-6804
Marandi, Alireza0000-0002-0470-0050
McMahon, Peter0000-0002-1177-9887
Utsunomiya, Shoko0000-0003-3667-1642
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.
Funding AgencyGrant Number
Council of Science, Technology and Innovation (Japan)UNSPECIFIED
Classification Code:PACS numbers: 05.45.Xt, 42.55.Wd, 64.60.Cn
Record Number:CaltechAUTHORS:20180613-083210975
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:87047
Deposited By: Tony Diaz
Deposited On:13 Jun 2018 16:20
Last Modified:09 Mar 2020 13:19

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