Topological edge states in the frequency dimension and their realization with Floquet electrical circuits
Year: 2025
Type: article
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.
Source: Physical Review Research
DOI: 10.1103/6n5m-wvs7
Authors: Alexander Stegmaier, Alexander Fritzsche, Riccardo Sorbello, Martin Greiter, Hauke Brand, Christine Barko, Maximilian Hofer, Udo Schwingenschlögl, Roderich Moessner, Ching Hua Lee, Alexander Szameit, Andrea Alù, Tobias Kießling, Ronny Thomale
Institutions: University of Würzburg, King Abdullah University of Science and Technology, Complexity, Topology and Dynamics in Quantum Matter, Max Planck Institute for the Physics of Complex Systems, National University of Singapore, University of Rostock, The Graduate Center, CUNY, City University of New York, CUNY Advanced Science Research Center
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,625
OpenAlex ID: W4415758448