Symmetry protection of topological states in multimode photonic resonator chains

Tikan, Alexey; Tusnin, Aleksandr; Riemensberger, Johann; Churaev, Mikhail; Komagata, Kenichi; Ji, Xinru; Wang, Rui Ning; Liu, Junqiu; Kippenberg, Tobias J.

doi:10.48550/arxiv.2011.07976

Cited by 2 publications

(2 citation statements)

References 43 publications

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“…Here, we present a deterministic version of this mechanism utilizing discovered properties of the photonic dimer 38 . Due to the more complex dispersion landscape, the single soliton generation process does not require any additional interaction with higher-order mode, even though it is shown to be enhanced for certain supermodes due to the underlying symmetry 57 . Indeed, the periodic intra-resonator field enhancement due to the crossing of the S supermode parabola is found to be sufficient to trigger the process discussed in ref.…”

Section: Critically Coupled Resonators: Split Resonance (Pt -Symmetric)mentioning

confidence: 99%

Dissipative Kerr solitons in a photonic dimer on both sides of exceptional point

et al. 2021

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Exceptional points are a ubiquitous concept widely present in driven-dissipative coupled systems described by a non-Hermitian Hamiltonian. To date, exceptional points have been extensively examined in the systems supporting only a few optical modes, thereby leaving the observation of collective (multimode) effects outside of the scope of the study. In the present paper, we analyze the role of exceptional points in nonlinear multimode photonics. Specifically, we provide insights into the complex nonlinear dynamics arising in a continuous wave-driven pair of strongly coupled microresonators. Investigating this system, we demonstrate mechanisms of dissipative Kerr soliton formation in two fundamentally different regimes separated by a line of exceptional points. Highlighting the diversity of emergent nonlinear effects, we describe the on-demand generation of single-solitons, perfect soliton crystals and bright-dark soliton pairs on either side of exceptional points.

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Section: Critically Coupled Resonators: Split Resonance (Pt -Symmetric)mentioning

confidence: 99%

Dissipative Kerr solitons in a photonic dimer on both sides of exceptional point

et al. 2021

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“…Here, we present a deterministic version of this mechanism utilizing discovered properties of the photonic dimer [30]. Due to the more complex dispersion landscape, the single soliton generation process does not require any additional interaction with higher-order mode, even though it is shown to be enhanced for certain supermodes due to the underlying symmetry [44]. Indeed, the periodic intra-resonator field enhancement due to the crossing of the S supermode parabola is found to be sufficient to trigger the process discussed in [41].…”

Section: Experimental and Numerical Evidences Of The Deterministic Si...mentioning

confidence: 99%

Dissipative Kerr solitons in a photonic dimer on both sides of exceptional point

Komagata,

Tikan,

Tusnin

et al. 2021

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Exceptional points are a ubiquitous concept widely present in driven-dissipative coupled systems described by a non-Hermitian Hamiltonian. It is characterized by the degeneracy of the Hamiltonian's eigenvalues and coalescence of corresponding eigenvectors. Recent developments demonstrated that exceptional points can play an important role in photonics. However, to date, exceptional points have been extensively examined in the systems supporting only a few optical modes, thereby leaving the observation of collective (multimode) effects outside of the scope of study. In the present paper, we analyze the role of exceptional points in nonlinear multimode photonics. Specifically, we provide insights into complex nonlinear dynamics arising in a continuous wave-driven pair of strongly coupled nonlinear micro-resonators (i.e. a nonlinear photonic dimer) operating in the multimode regime. Investigating this system, which is known to possess exceptional points, we find two fundamentally different nonlinear regimes of operation corresponding to effective parity-time symmetric and broken parity-time symmetry states. We demonstrate that the photonic dimer can be critically coupled to a bus waveguide, thereby, providing an efficient generation of the dissipative Kerr solitons on both sides of the exceptional point. The parity-time symmetric case, which corresponds to a pair of symmetrically split resonances, has been recently shown to exhibit a variety of emergent phenomena including gear soliton generation, symmetry breaking, and soliton hopping. Dissipative solitons generation in the parity-time symmetry broken case -leading to the dissipation splitting -up to now remains unexplored.I.

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Symmetry protection of topological states in multimode photonic resonator chains

Cited by 2 publications

References 43 publications

Dissipative Kerr solitons in a photonic dimer on both sides of exceptional point

Dissipative Kerr solitons in a photonic dimer on both sides of exceptional point

Dissipative Kerr solitons in a photonic dimer on both sides of exceptional point

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