An optical Ising spin glass simulator with tuneable short range couplings
Fuente:
arXiv
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| Autori principali: | , , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866908707289300992 |
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| author | Delloye, Louis Jacucci, Gianni Pandya, Raj Pierangeli, Davide Conti, Claudio Gigan, Sylvain |
| author_facet | Delloye, Louis Jacucci, Gianni Pandya, Raj Pierangeli, Davide Conti, Claudio Gigan, Sylvain |
| contents | Non-deterministic polynomial-time (NP) problems are ubiquitous in almost every field of study. Recently, all-optical approaches have been explored for solving classic NP problems based on the spin-glass Ising Hamiltonian. However, obtaining programmable spin-couplings in large-scale optical Ising simulators, on the other hand, remains challenging. Here, we demonstrate control of the interaction length between user-defined parts of a fully-connected Ising system. This is achieved by exploiting the knowledge of the transmission matrix of a random medium and by using diffusers of various thickness. Finally, we exploit our spin-coupling control to observe replica-to-replica fluctuations and its analogy to standard replica symmetry breaking. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_10764 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | An optical Ising spin glass simulator with tuneable short range couplings Delloye, Louis Jacucci, Gianni Pandya, Raj Pierangeli, Davide Conti, Claudio Gigan, Sylvain Disordered Systems and Neural Networks Non-deterministic polynomial-time (NP) problems are ubiquitous in almost every field of study. Recently, all-optical approaches have been explored for solving classic NP problems based on the spin-glass Ising Hamiltonian. However, obtaining programmable spin-couplings in large-scale optical Ising simulators, on the other hand, remains challenging. Here, we demonstrate control of the interaction length between user-defined parts of a fully-connected Ising system. This is achieved by exploiting the knowledge of the transmission matrix of a random medium and by using diffusers of various thickness. Finally, we exploit our spin-coupling control to observe replica-to-replica fluctuations and its analogy to standard replica symmetry breaking. |
| title | An optical Ising spin glass simulator with tuneable short range couplings |
| topic | Disordered Systems and Neural Networks |
| url | https://arxiv.org/abs/2309.10764 |