Self-pulsing in driven-dissipative photonic Bose-Hubbard dimers

Yelo-Sarrión, Jesús; Parra‐Rivas, Pedro; Englebert, Nicolas; Arabí, Carlos Mas; Léo, François; Gorza, Simon-Pierre

doi:10.1103/physrevresearch.3.l042031

Cited by 9 publications

(21 citation statements)

References 41 publications

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“…In a previous work, we found that self-pulsing oscillations appear in PBHDs when the driving is asymmetrical, i.e., when only one cavity is driven [25]. There, we focused on the self-pulsing dynamics, and we showed an excellent agreement between the experimental observations in coupled fiber cavities (in the normal dispersion regime) and the theoretical modeling.…”

Section: Introductionsupporting

confidence: 74%

“…Hereafter we refer to them as WC and SC regimes respectively. The coupling constant that we consider in the WC regime is similar to the experimental value considered in our previous work [25]. In the SC, while the encountered dynamics are similar, the bifurcation diagram is much more complex.…”

Section: Steady-states Linear Stability and Their Phase Diagrammentioning

confidence: 52%

“…Regarding experiments, this scheme may be easier than with two pumps for which the relative phase between them must be precisely controlled. We here consider one-dimensional coupled cavities such as micropillar or photonic crystal cavities, but also coupled ring resonators (see discussion in Ref [25] regarding the dispersion). The dynamics of such PBHD can be described by two coupled one-dimensional normalized Lugiato-Lefever equations [35] dψ…”

Section: The Asymmetrically-driven Dissipative Photonic Bose-hubbard ...mentioning

confidence: 99%

“…[24,47] in which the nonlinearity shifts the resonances so as to allow for a resonant four-wave-mixing process with signal and idler photons respectively on the bonding-and antibonding-like mode of the dimer. On the contrary, the parametric instability originating from H 2 involves signal and idler photons on both the bonding-and antibonding-like modes (See Supplemental Material of Ref [25]).…”

Section: Figs 4(i)-(iv)mentioning

confidence: 99%

“…Lately, different works have focused on the dynamics of two coupled Kerr resonators: for the generation of optical frequency combs in integrated ring resonators in the anomalous [21] or the normal [22,23] dispersion regime, as well as for parametric oscillation generation in coupled polariton [24] or fiber [25] cavities. This system is commonly known as driven dissipative photonic Bose-Hubbard dimer (PBHD) [26], in analogy with the open quantum boson system [27].…”

Section: Introductionmentioning

confidence: 99%

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Self-pulsing and chaos in the asymmetrically-driven dissipative photonic Bose-Hubbard dimer: A bifurcation analysis

Sarrión,

Leo,

Gorza

et al. 2022

Preprint

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We perform a systematic study of the temporal dynamics emerging in the asymmetrically driven dissipative Bose-Hubbard dimer model. This model successfully describes the nonlinear dynamics of photonic diatomic molecules in linearly coupled Kerr resonators coherently excited by a single laser beam. Such temporal dynamics include self-pulsing oscillations, period doubled oscillatory states, chaotic dynamics, and spikes. The different states and dynamical regimes have been thoroughly characterized using bifurcation analysis. This analysis has allowed us to identify the main instabilities, i.e. bifurcations, responsible for the appearance of the previously stated dynamics.

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Section: Introductionsupporting

confidence: 74%

Section: Steady-states Linear Stability and Their Phase Diagrammentioning

confidence: 52%

Section: The Asymmetrically-driven Dissipative Photonic Bose-hubbard ...mentioning

confidence: 99%

Section: Figs 4(i)-(iv)mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Self-pulsing and chaos in the asymmetrically-driven dissipative photonic Bose-Hubbard dimer: A bifurcation analysis

Sarrión,

Leo,

Gorza

et al. 2022

Preprint

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Self-pulsing and chaos in the asymmetrically driven dissipative photonic Bose–Hubbard dimer: A bifurcation analysis

Yelo-Sarrión

Léo

Gorza

et al. 2022

Chaos: An Interdisciplinary Journal of Nonlinear Science

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We perform a systematic study of the temporal dynamics emerging in the asymmetrically driven dissipative Bose–Hubbard dimer model. This model successfully describes the nonlinear dynamics of photonic diatomic molecules in linearly coupled Kerr resonators coherently excited by a single laser beam. Such temporal dynamics may include self-pulsing oscillations, period doubled oscillatory states, chaotic dynamics, and spikes. We have thoroughly characterized such dynamical states, their origin, and their regions of stability by applying bifurcation analysis and dynamical system theory. This approach has allowed us to identify and classify the instabilities, which are responsible for the appearance of different types of temporal dynamics.

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Neuronlike spiking dynamics in asymmetrically driven dissipative nonlinear photonic dimers

et al. 2022

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We demonstrate neuronlike spiking dynamics in a dissipative Bose-Hubbard dimer model, describing two coupled nonlinear Kerr cavities with a finite photon lifetime and under coherent pumping of just one cavity. Spiking dynamics appear due to the excitable nature of the system. In this context, excitable excursions in the phase space correspond to spikes in the temporal evolution of the cavity intensities, i.e., of the number of photons. In our case, excitability is mediated by the destruction of an oscillatory state in a global homoclinic bifurcation. In this type of excitability (known as type I) the period of the oscillatory state diverges when approaching the bifurcation. Beyond this point, the system exhibits excitable dynamics under the application of suitable perturbations. We have also characterized the effect that additive Gaussian noise has on the spiking dynamics, showing that the system undergoes a coherence resonance for a given value of the noise strength.

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Self-pulsing in driven-dissipative photonic Bose-Hubbard dimers

Cited by 9 publications

References 41 publications

Self-pulsing and chaos in the asymmetrically-driven dissipative photonic Bose-Hubbard dimer: A bifurcation analysis

Self-pulsing and chaos in the asymmetrically-driven dissipative photonic Bose-Hubbard dimer: A bifurcation analysis

Self-pulsing and chaos in the asymmetrically driven dissipative photonic Bose–Hubbard dimer: A bifurcation analysis

Neuronlike spiking dynamics in asymmetrically driven dissipative nonlinear photonic dimers

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