Emergent Equilibrium in All-Optical Single Quantum-Trajectory Ising Machines
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866929635190636544 |
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| author | Tosca, Jacopo Strinati, Marcello Calvanese Conti, Claudio Ciuti, Cristiano |
| author_facet | Tosca, Jacopo Strinati, Marcello Calvanese Conti, Claudio Ciuti, Cristiano |
| contents | We investigate the dynamics of multi-mode optical systems driven by two-photon processes and subject to non-local losses, incorporating quantum noise at the Gaussian level. Our findings show that the statistics retrieved from a single Gaussian quantum trajectory exhibits emergent thermal equilibrium governed by an Ising Hamiltonian, encoded in the dissipative coupling between modes. The system's effective temperature is set by the driving strength relative to the oscillation threshold. Given the ultra-short time scales typical of all-optical devices, our study demonstrates that such multi-mode optical systems can operate as ultra-fast Boltzmann samplers, paving the way towards the realization of efficient hardware for combinatorial optimization, with promising applications in machine learning and beyond. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_12768 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Emergent Equilibrium in All-Optical Single Quantum-Trajectory Ising Machines Tosca, Jacopo Strinati, Marcello Calvanese Conti, Claudio Ciuti, Cristiano Quantum Physics Computational Physics Optics We investigate the dynamics of multi-mode optical systems driven by two-photon processes and subject to non-local losses, incorporating quantum noise at the Gaussian level. Our findings show that the statistics retrieved from a single Gaussian quantum trajectory exhibits emergent thermal equilibrium governed by an Ising Hamiltonian, encoded in the dissipative coupling between modes. The system's effective temperature is set by the driving strength relative to the oscillation threshold. Given the ultra-short time scales typical of all-optical devices, our study demonstrates that such multi-mode optical systems can operate as ultra-fast Boltzmann samplers, paving the way towards the realization of efficient hardware for combinatorial optimization, with promising applications in machine learning and beyond. |
| title | Emergent Equilibrium in All-Optical Single Quantum-Trajectory Ising Machines |
| topic | Quantum Physics Computational Physics Optics |
| url | https://arxiv.org/abs/2412.12768 |