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

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arxiv 2407.10191 v1 pith:W3Z3PN3X submitted 2024-07-14 cond-mat.mes-hall physics.optics

Alexander Stegmaier , Alexander Fritzsche , Riccardo Sorbello , Martin Greiter , Hauke Brand , Christine Barko , Maximilian Hofer , Udo Schwingenschlögl
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Roderich Moessner Ching Hua Lee Alexander Szameit Andrea Alu Tobias Kie{ss}ling Ronny Thomale
This is my paper · ORCID
classification cond-mat.mes-hallphysics.optics
keywords frequencycircuitfloquettopologicalboundaryedgespaceacts
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Quantized Chern-Simons Axion Coupling in Anomalous Floquet Systems

    cond-mat.mes-hall 2025-06 conditional novelty 7.0 of 10

    The Floquet winding number of two-dimensional anomalous driven systems equals the quantized Chern-Simons axion angle built from Floquet eigenstates, linking bulk geometry to a magnetoelectric response.

  2. Interacting many-body non-Hermitian systems as Markov chains

    cond-mat.other 2025-09 conditional novelty 6.0 of 10

    Non-Hermitian many-body Hamiltonians are mapped to Markov-chain generators, yielding new classical steady states: a Fermi-Dirac-like exclusion profile and exactly staggered, sector-dependent spin densities.

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