Topological edge states in the frequency dimension and their realization with Floquet electrical circuits

Research output: Contribution to journalResearch articleContributedpeer-review

Contributors

  • Alexander Stegmaier - , University of Würzburg (Author)
  • Alexander Fritzsche - , University of Würzburg (Author)
  • Riccardo Sorbello - , University of Würzburg (Author)
  • Martin Greiter - , University of Würzburg (Author)
  • Hauke Brand - , University of Würzburg (Author)
  • Christine Barko - , University of Würzburg (Author)
  • Maximilian Hofer - , University of Würzburg (Author)
  • Udo Schwingenschlögl - , King Abdullah University of Science and Technology (Author)
  • Roderich Moessner - , Max-Planck-Institute for the Physics of Complex Systems, Würzburg-Dresden Cluster of Excellence ct.qmat (Author)
  • Ching Hua Lee - , National University of Singapore (Author)
  • Alexander Szameit - , Würzburg-Dresden Cluster of Excellence ct.qmat, University of Rostock (Author)
  • Andrea Alù - , City University of New York (Author)
  • Tobias Kießling - , University of Würzburg, Würzburg-Dresden Cluster of Excellence ct.qmat (Author)
  • Ronny Thomale - , University of Würzburg, Würzburg-Dresden Cluster of Excellence ct.qmat (Author)

Abstract

We build Floquet-driven capacitive circuit networks to realize topological states of matter in the frequency domain. As visible through our Floquet Laplacian formalism, the intertwining of static circuit components and parametric Floquet driving effectively creates a barrier in the frequency dimension, allowing to resolve the bulk-boundary correspondence of Floquet topological matter. By implementing a Su-Schrieffer-Heeger Floquet lattice model and measuring the associated circuit Laplacian and characteristic resonances, we demonstrate Floquet topological edge modes emerging at this frequency space barrier. Floquet circuits allow for the creation of topological phenomena in synthetic frequency dimensions with just a single unit cell of time-variable circuit components.

Details

Original languageEnglish
Article number043118
JournalPhysical Review Research
Volume7
Issue number4
Publication statusPublished - Oct 2025
Peer-reviewedYes

Keywords

ASJC Scopus subject areas