Quantum chaos with graphs: a silicon photonics plateform
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arXiv
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| Autori principali: | , , , , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866911676905816064 |
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| author | Girin, H. Chécoury, X. Odouard, B. Bittner, S. Coudevylle, J. -R. Dietz, B. Lafargue, C. Lebental, M. |
| author_facet | Girin, H. Chécoury, X. Odouard, B. Bittner, S. Coudevylle, J. -R. Dietz, B. Lafargue, C. Lebental, M. |
| contents | We provide a versatile plateform to investigate wave-particle duality. This photonic waveguide network implements quantum (wave) graphs as proposed in the seminal paper by Kottos \& Smilansky [PRL \textbf{85} 968 (2000)]. We experimentally demonstrated that the spectral statistics of a mixing (i.e. strongly chaotic) graph follows the predictions of random matrix theory, contrary to an ergodic (i.e. less chaotic) graph, in agreement with the Bohigas-Giannoni-Schmit conjecture [PRL \textbf{52} 1 (1984)]. This plateform also gives access to the wavefunction patterns, which are expected to verify the quantum ergodicity theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_12538 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Quantum chaos with graphs: a silicon photonics plateform Girin, H. Chécoury, X. Odouard, B. Bittner, S. Coudevylle, J. -R. Dietz, B. Lafargue, C. Lebental, M. Quantum Physics Instrumentation and Detectors We provide a versatile plateform to investigate wave-particle duality. This photonic waveguide network implements quantum (wave) graphs as proposed in the seminal paper by Kottos \& Smilansky [PRL \textbf{85} 968 (2000)]. We experimentally demonstrated that the spectral statistics of a mixing (i.e. strongly chaotic) graph follows the predictions of random matrix theory, contrary to an ergodic (i.e. less chaotic) graph, in agreement with the Bohigas-Giannoni-Schmit conjecture [PRL \textbf{52} 1 (1984)]. This plateform also gives access to the wavefunction patterns, which are expected to verify the quantum ergodicity theorem. |
| title | Quantum chaos with graphs: a silicon photonics plateform |
| topic | Quantum Physics Instrumentation and Detectors |
| url | https://arxiv.org/abs/2605.12538 |