Probing band topology using modulational instability

Abstract

We analyze the modulational instability of nonlinear Bloch waves in topological photonic lattices. In the initial phase of the instability development captured by the linear stability analysis, long wavelength instabilities and bifurcations of the nonlinear Bloch waves are sensitive to topological band inversions. At longer timescales, nonlinear wave mixing induces spreading of energy through the entire band and spontaneous creation of wave polarization singularities determined by the band Chern number. Our analytical and numerical results establish modulational instability as a tool to probe bulk topological invariants and create topologically non-trivial wave fields.

arXiv commentPublished version

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Cited by in corpus (11)

• Non-degenerate Kuznetsov-Ma solitons of Manakov equations and their physical spectra
• Non-degenerate multi-rogue waves and easy ways of their excitation
• An operator-based approach to topological photonics
• Modulation instability and non-degenerate Akhmediev breathers of Manakov equations
• Gradient catastrophe of nonlinear photonic valley-Hall edge pulses
• Probing Bulk Band Topology from Time Boundary Effect in Synthetic Dimension
• Nonlinear Topological Edge States: from Dynamic Delocalization to Thermalization
• Nonlinear signatures of Floquet band topology
• Self-steepening-induced stabilization of nonlinear edge waves at photonic valley-Hall interfaces
• Nonlinear compact localized modes in flux-dressed octagonal-diamond photonic lattice
• Chiral solitary waves in a nonlinear topological insulator model