From order to chaos in a chip-scale Kerr parametric oscillator

Fuente: arXiv
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Autores principales: Trinchão, Luca O., Mazo-Vásquez, Juan Diego, Nienstedt, Miguel, Peres, Luiz, Gohsrich, Julius T., Gonçalves, Eduardo S., Ghosh, Alekhya, Pal, Arghadeep, Santos, Laís Fujii dos, Jarschel, Paulo F., Alegre, Thiago P. Mayer, Tomazio, Nathalia B., Kunst, Flore K., Del'Haye, Pascal, Hill, Lewis, Wiederhecker, Gustavo S.
Formato: Preprint
Publicado: 2026
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author Trinchão, Luca O.
Mazo-Vásquez, Juan Diego
Nienstedt, Miguel
Peres, Luiz
Gohsrich, Julius T.
Gonçalves, Eduardo S.
Ghosh, Alekhya
Pal, Arghadeep
Santos, Laís Fujii dos
Jarschel, Paulo F.
Alegre, Thiago P. Mayer
Tomazio, Nathalia B.
Kunst, Flore K.
Del'Haye, Pascal
Hill, Lewis
Wiederhecker, Gustavo S.
author_facet Trinchão, Luca O.
Mazo-Vásquez, Juan Diego
Nienstedt, Miguel
Peres, Luiz
Gohsrich, Julius T.
Gonçalves, Eduardo S.
Ghosh, Alekhya
Pal, Arghadeep
Santos, Laís Fujii dos
Jarschel, Paulo F.
Alegre, Thiago P. Mayer
Tomazio, Nathalia B.
Kunst, Flore K.
Del'Haye, Pascal
Hill, Lewis
Wiederhecker, Gustavo S.
contents Integrated photonics has enabled a wide class of chip-scale light sources and quantum technologies. Within this field, microresonator-based degenerate optical parametric oscillators (DOPOs) have gained prominence. Above a critical power threshold, these systems undergo spontaneous symmetry breaking to settle into one of two stable, π-phase-shifted states -- a mechanism successfully used for quantum random number generation and photonic Ising machines. Here, we show that DOPOs based on the Kerr nonlinearity host a significantly broader range of nonlinear dynamics than previously explored. Using a silicon nitride microring resonator, we experimentally identify Hopf bifurcations that trigger a transition from stationary operation to self-sustained oscillations at MHz frequencies. By adjusting pump detunings and powers, we achieve turnkey control over these oscillatory regimes, navigating the system between stable binary states and periodic limit cycles. Furthermore, we report the experimental observation of period-doubling bifurcations, which numerical simulations reveal as the precursor to a cascading instability culminating in chaos at elevated pump powers. Our results establish a framework for controlling nonlinear instabilities in chip-scale parametric oscillators, with applications in programmable photonic hardware and dynamical optical computing.
format Preprint
id arxiv_https___arxiv_org_abs_2605_18690
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle From order to chaos in a chip-scale Kerr parametric oscillator
Trinchão, Luca O.
Mazo-Vásquez, Juan Diego
Nienstedt, Miguel
Peres, Luiz
Gohsrich, Julius T.
Gonçalves, Eduardo S.
Ghosh, Alekhya
Pal, Arghadeep
Santos, Laís Fujii dos
Jarschel, Paulo F.
Alegre, Thiago P. Mayer
Tomazio, Nathalia B.
Kunst, Flore K.
Del'Haye, Pascal
Hill, Lewis
Wiederhecker, Gustavo S.
Optics
Integrated photonics has enabled a wide class of chip-scale light sources and quantum technologies. Within this field, microresonator-based degenerate optical parametric oscillators (DOPOs) have gained prominence. Above a critical power threshold, these systems undergo spontaneous symmetry breaking to settle into one of two stable, π-phase-shifted states -- a mechanism successfully used for quantum random number generation and photonic Ising machines. Here, we show that DOPOs based on the Kerr nonlinearity host a significantly broader range of nonlinear dynamics than previously explored. Using a silicon nitride microring resonator, we experimentally identify Hopf bifurcations that trigger a transition from stationary operation to self-sustained oscillations at MHz frequencies. By adjusting pump detunings and powers, we achieve turnkey control over these oscillatory regimes, navigating the system between stable binary states and periodic limit cycles. Furthermore, we report the experimental observation of period-doubling bifurcations, which numerical simulations reveal as the precursor to a cascading instability culminating in chaos at elevated pump powers. Our results establish a framework for controlling nonlinear instabilities in chip-scale parametric oscillators, with applications in programmable photonic hardware and dynamical optical computing.
title From order to chaos in a chip-scale Kerr parametric oscillator
topic Optics
url https://arxiv.org/abs/2605.18690