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arXiv · 2407.10191

Topological Edge State Nucleation in Frequency Space and its Realization with Floquet Electrical Circuits

Alexander Stegmaier·Alexander Fritzsche·Riccardo Sorbello·Martin Greiter·Hauke Brand·Christine Barko·Maximilian Hofer·Udo Schwingenschlögl·Roderich Moessner·Ching Hua Lee·Alexander Szameit·Andrea Alu·Tobias Kießling·Ronny Thomale
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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.

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Alexander Stegmaier, Alexander Fritzsche, Riccardo Sorbello, Martin Greiter, Hauke Brand, Christine Barko, Maximilian Hofer, Udo Schwingenschlögl, Roderich Moessner, Ching Hua Lee, Alexander Szameit, Andrea Alu, Tobias Kießling, Ronny Thomale. 2024-07-14. Topological Edge State Nucleation in Frequency Space and its Realization with Floquet Electrical Circuits. https://arxiv.org/abs/2407.10191

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