Simulation of Hopfield-like Hamiltonians using time-multiplexed photonic networks
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2026
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866911485861560320 |
|---|---|
| author | Seck, Théophile Lumia, Hugo Ng, Edwin Chervy, Thibault |
| author_facet | Seck, Théophile Lumia, Hugo Ng, Edwin Chervy, Thibault |
| contents | We propose a time-multiplexed photonic network architecture based on coupled ring resonators, capable of accurately emulating specific Hamiltonian dynamics. We show that, in the Suzuki-Trotter limit, the resulting stroboscopic evolution reproduces the characteristic dynamics of the bosonized Hopfield model. Furthermore, by incorporating a nonlinear element within the main resonator loop, we outline a scalable route toward optical simulation of both mean-field and quantum nonlinear dynamics associated with the Tavis-Cummings model. Our results establish time-multiplexed resonator networks as a versatile photonic framework for simulating interacting light-matter Hamiltonians and collective many-body phenomena. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_04482 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Simulation of Hopfield-like Hamiltonians using time-multiplexed photonic networks Seck, Théophile Lumia, Hugo Ng, Edwin Chervy, Thibault Optics We propose a time-multiplexed photonic network architecture based on coupled ring resonators, capable of accurately emulating specific Hamiltonian dynamics. We show that, in the Suzuki-Trotter limit, the resulting stroboscopic evolution reproduces the characteristic dynamics of the bosonized Hopfield model. Furthermore, by incorporating a nonlinear element within the main resonator loop, we outline a scalable route toward optical simulation of both mean-field and quantum nonlinear dynamics associated with the Tavis-Cummings model. Our results establish time-multiplexed resonator networks as a versatile photonic framework for simulating interacting light-matter Hamiltonians and collective many-body phenomena. |
| title | Simulation of Hopfield-like Hamiltonians using time-multiplexed photonic networks |
| topic | Optics |
| url | https://arxiv.org/abs/2603.04482 |