Nonlinear topological symmetry protection in a dissipative system

Coen, Stéphane; Garbin, Bruno; Xu, Gang; Quinn, L.; Goldman, Nathan; Oppo, Gian-Luca; Erkintalo, Miro; Murdoch, Stuart G.; Fatome, Julien

doi:10.48550/arxiv.2303.16197

Cited by 2 publications

(1 citation statement)

References 82 publications

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“…To assess the system's susceptibility to temporal perturbations, both on t and τ , we performed a linear stability analysis on the modal expansion of Eq. (20). General mathematical methods to find instability thresholds in single polarization Fabry-Pérot resonators have recently been established [37].…”

Section: B Linear Stability Analysis Of Homogeneous Stationary Statesmentioning

confidence: 99%

Symmetry Broken Vectorial Kerr Frequency Combs from Fabry-Pérot Resonators

Hill,

Hirmer,

Campbell

et al. 2023

Preprint

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Optical frequency combs find many applications in metrology, frequency standards, communications and photonic devices. We consider field polarization properties and describe a vector comb generation through the spontaneous symmetry breaking of temporal cavity solitons within coherently driven, passive, Fabry-Pérot cavities with Kerr nonlinearity. Global coupling effects due to the interactions of counter-propagating light restrict the maximum number of soliton pairs within the cavity - even down to a single soliton pair - and force long range polarization conformity in trains of vector solitons.

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Section: B Linear Stability Analysis Of Homogeneous Stationary Statesmentioning

confidence: 99%

Symmetry Broken Vectorial Kerr Frequency Combs from Fabry-Pérot Resonators

Hill,

Hirmer,

Campbell

et al. 2023

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

Random number generation using spontaneous symmetry breaking in a Kerr resonator

Quinn¹,

Xu²,

Xu³

et al. 2023

Opt. Lett.

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We demonstrate an all-optical random number generator based on spontaneous symmetry breaking in a coherently driven Kerr resonator. Random bit sequences are generated by repeatedly tuning a control parameter across a symmetry-breaking bifurcation that enacts random selection between two possible steady-states of the system. Experiments are performed in a fiber ring resonator, where the two symmetry-broken steady-states are associated with orthogonal polarization modes. Detrimental biases due to system asymmetries are suppressed by leveraging a recently discovered self-symmetrization phenomenon that ensures the symmetry-breaking dynamics act as an unbiased coin toss, with a genuinely random selection between the two available steady-states. We optically generate bits at a rate of 3 MHz without post-processing and verify their randomness using the National Institute of Standards and Technology and Dieharder statistical test suites.

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Nonlinear topological symmetry protection in a dissipative system

Cited by 2 publications

References 82 publications

Symmetry Broken Vectorial Kerr Frequency Combs from Fabry-Pérot Resonators

Symmetry Broken Vectorial Kerr Frequency Combs from Fabry-Pérot Resonators

Random number generation using spontaneous symmetry breaking in a Kerr resonator

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