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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Bibliographic Details
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
Subjects:
Online Access:https://hdl.handle.net/10356/174033
http://arxiv.org/abs/2306.05743v3
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Institution: Nanyang Technological University
Language: English
Description
Summary: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.