Topological edge states in the frequency dimension and their realization with Floquet electrical circuits
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.
Authors
- Andrea Alù (ORCID: https://orcid.org/0000-0002-4297-5274)
- Maximilian Hofer (ORCID: https://orcid.org/0009-0005-3647-9353)
- Udo Schwingenschlögl (ORCID: https://orcid.org/0000-0003-4179-7231)
- Martin Greiter (ORCID: https://orcid.org/0000-0003-2008-4013)
- Alexander Stegmaier (ORCID: https://orcid.org/0000-0002-8864-5182)
- Roderich Moessner (ORCID: https://orcid.org/0000-0002-6415-4784)
- Ching Hua Lee (ORCID: https://orcid.org/0000-0003-0690-3238)
- Alexander Fritzsche
- R. S. Sorbello (ORCID: https://orcid.org/0009-0005-5075-1990)
- T. Kießling (ORCID: https://orcid.org/0000-0002-0243-0886)
- Alexander Szameit (ORCID: https://orcid.org/0000-0003-0071-6941)
- Hauke Brand (ORCID: https://orcid.org/0000-0003-4209-2663)
- Ronny Thomale (ORCID: https://orcid.org/0000-0002-3979-8836)
- Christine Barko
Institutions
- The Graduate Center, CUNY (US)
- National University of Singapore (SG)
- City University of New York (US)
- University of Würzburg (DE)
- Complexity, Topology and Dynamics in Quantum Matter (DE)
- CUNY Advanced Science Research Center (US)
- Max Planck Institute for the Physics of Complex Systems (DE)
- University of Rostock (DE)
- King Abdullah University of Science and Technology (SA)
Publication Details
- Journal
- Physical Review Research
- Published
- 2025-09-23
- DOI
- https://doi.org/10.1103/6n5m-wvs7
- Citations
- 1
- Primary Topic
- Topological Materials and Phenomena
- Type
- article
- Field-Weighted Citation Impact
- 1.25