Analog spin simulators: how to keep the amplitude homogeneous

A setup that simulates ground states of spin graphs would allow one to solve computationally hard optimisation problems efficiently. Current optical setups to this goal have difficulties decoupling the amplitude and phase degrees of freedom of each effective spin; risking to yield the mapping inv...

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Main Authors: Verstraelen, Wouter, Deuar, Piotr, Matuszewski, Michał, Liew, Timothy Chi Hin
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2024
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Online Access:https://hdl.handle.net/10356/174033
http://arxiv.org/abs/2306.05743v3
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-1740332024-03-18T15:35:14Z Analog spin simulators: how to keep the amplitude homogeneous Verstraelen, Wouter Deuar, Piotr Matuszewski, Michał Liew, Timothy Chi Hin School of Physical and Mathematical Sciences Physics Analog computation Polaritons A setup that simulates ground states of spin graphs would allow one to solve computationally hard optimisation problems efficiently. Current optical setups to this goal have difficulties decoupling the amplitude and phase degrees of freedom of each effective spin; risking to yield the mapping invalid, a problem known as amplitude heterogeneity. Here, we propose a setup with coupled active optical cavity modes, where this problem is eliminated through their particular geometric arrangement. Acting as an effective Monte Carlo solver, the ground state can be found exactly. By tuning a parameter, the setup solves XY or Ising problems. Ministry of Education (MOE) Published version W.V. and T.C.H.L. were supported by the Singaporean Ministry Education, via the Tier 2 Grant No. MOE-T2EP50121-0020 and Tier 3 Grant No. MOE2018-368-T3-1-002 . M.M. and P.D. acknowledge support from Polish National Science Center Grant No. ... 2024-03-12T08:41:36Z 2024-03-12T08:41:36Z 2024 Journal Article Verstraelen, W., Deuar, P., Matuszewski, M. & Liew, T. C. H. (2024). Analog spin simulators: how to keep the amplitude homogeneous. Physical Review Applied, 21(2), 024057-. https://dx.doi.org/10.1103/PhysRevApplied.21.024057 2331-7019 https://hdl.handle.net/10356/174033 10.1103/PhysRevApplied.21.024057 http://arxiv.org/abs/2306.05743v3 2 21 024057 en MOE-T2EP50121-0020 MOE2018-368-T3-1-002 Physical Review Applied doi:10.21979/N9/CA93QL © 2024 American Physical Society. All rights reserved. This article may be downloaded for personal use only. Any other use requires prior permission of the copyright holder. The Version of Record is available online at http://doi.org/10.1103/PhysRevApplied.21.024057. application/pdf
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic Physics
Analog computation
Polaritons
spellingShingle Physics
Analog computation
Polaritons
Verstraelen, Wouter
Deuar, Piotr
Matuszewski, Michał
Liew, Timothy Chi Hin
Analog spin simulators: how to keep the amplitude homogeneous
description A setup that simulates ground states of spin graphs would allow one to solve computationally hard optimisation problems efficiently. Current optical setups to this goal have difficulties decoupling the amplitude and phase degrees of freedom of each effective spin; risking to yield the mapping invalid, a problem known as amplitude heterogeneity. Here, we propose a setup with coupled active optical cavity modes, where this problem is eliminated through their particular geometric arrangement. Acting as an effective Monte Carlo solver, the ground state can be found exactly. By tuning a parameter, the setup solves XY or Ising problems.
author2 School of Physical and Mathematical Sciences
author_facet School of Physical and Mathematical Sciences
Verstraelen, Wouter
Deuar, Piotr
Matuszewski, Michał
Liew, Timothy Chi Hin
format Article
author Verstraelen, Wouter
Deuar, Piotr
Matuszewski, Michał
Liew, Timothy Chi Hin
author_sort Verstraelen, Wouter
title Analog spin simulators: how to keep the amplitude homogeneous
title_short Analog spin simulators: how to keep the amplitude homogeneous
title_full Analog spin simulators: how to keep the amplitude homogeneous
title_fullStr Analog spin simulators: how to keep the amplitude homogeneous
title_full_unstemmed Analog spin simulators: how to keep the amplitude homogeneous
title_sort analog spin simulators: how to keep the amplitude homogeneous
publishDate 2024
url https://hdl.handle.net/10356/174033
http://arxiv.org/abs/2306.05743v3
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