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Topological Edge State Nucleation in Frequency Space and its Realization with Floquet Electrical Circuits (2407.10191v1)
Published 14 Jul 2024 in cond-mat.mes-hall and physics.optics
Abstract: We build Floquet-driven capactive circuit networks to realize topological states of matter in the frequency domain. We find the Floquet circuit network equations of motion to reveal a potential barrier which effectively acts as a boundary in frequency space. By implementing a Su-Shrieffer-Heeger Floquet lattice model and measuring the associated circuit Laplacian and characteristic resonances, we demonstrate how topological edge modes can nucleate at such a frequency boundary.