Analogue Spin Simulators: How to keep the Amplitude Homogeneous
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866909124237721600 |
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| author | Verstraelen, Wouter Deuar, Piotr Matuszewski, Michał Liew, Timothy C. H. |
| author_facet | Verstraelen, Wouter Deuar, Piotr Matuszewski, Michał Liew, Timothy C. H. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_05743 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Analogue Spin Simulators: How to keep the Amplitude Homogeneous Verstraelen, Wouter Deuar, Piotr Matuszewski, Michał Liew, Timothy C. H. Quantum Physics Mesoscale and Nanoscale Physics Optics 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. |
| title | Analogue Spin Simulators: How to keep the Amplitude Homogeneous |
| topic | Quantum Physics Mesoscale and Nanoscale Physics Optics |
| url | https://arxiv.org/abs/2306.05743 |