Kerr-enhanced amplification of three-wave mixing and emergent masing regimes
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arXiv
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| Format: | Preprint |
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2026
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| author | Alhyder, Ragheed Sahu, Rishabh Fink, Johannes M. Lemeshko, Mikhail Koutentakis, Georgios M. |
| author_facet | Alhyder, Ragheed Sahu, Rishabh Fink, Johannes M. Lemeshko, Mikhail Koutentakis, Georgios M. |
| contents | Integrated optical microresonators exploiting either second-order ($χ^{(2)}$) or third-order ($χ^{(3)}$) nonlinearities have become key platforms for frequency conversion, low-noise microwave photonics, and quantum entanglement generation. Here, we present an analytic theory of Kerr-enhanced three-wave mixing amplification in an electro-optic microresonator with both $χ^{(2)}$ and $χ^{(3)}$ nonlinearities. We demonstrate that Kerr dressing hybridizes the optical sidebands, renormalizing the $χ^{(2)}$ couplings and detunings. As a result the system exhibits gain in regions where analogous bare $χ^{(2)}$ or $χ^{(3)}$ amplifiers are subthreshold. Time-domain Langevin simulations confirm this threshold reduction, mapping a practical design window for experiments. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_14726 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Kerr-enhanced amplification of three-wave mixing and emergent masing regimes Alhyder, Ragheed Sahu, Rishabh Fink, Johannes M. Lemeshko, Mikhail Koutentakis, Georgios M. Optics Mesoscale and Nanoscale Physics Applied Physics Quantum Physics Integrated optical microresonators exploiting either second-order ($χ^{(2)}$) or third-order ($χ^{(3)}$) nonlinearities have become key platforms for frequency conversion, low-noise microwave photonics, and quantum entanglement generation. Here, we present an analytic theory of Kerr-enhanced three-wave mixing amplification in an electro-optic microresonator with both $χ^{(2)}$ and $χ^{(3)}$ nonlinearities. We demonstrate that Kerr dressing hybridizes the optical sidebands, renormalizing the $χ^{(2)}$ couplings and detunings. As a result the system exhibits gain in regions where analogous bare $χ^{(2)}$ or $χ^{(3)}$ amplifiers are subthreshold. Time-domain Langevin simulations confirm this threshold reduction, mapping a practical design window for experiments. |
| title | Kerr-enhanced amplification of three-wave mixing and emergent masing regimes |
| topic | Optics Mesoscale and Nanoscale Physics Applied Physics Quantum Physics |
| url | https://arxiv.org/abs/2601.14726 |