Erlangen 2022 – wissenschaftliches Programm

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Q: Fachverband Quantenoptik und Photonik

Q 40: Optomechanics and Photonics

Q 40.8: Poster

Mittwoch, 16. März 2022, 16:30–18:30, P

Adding Doublons to a Floquet-Topological Insulator — •Helena Drüeke and Dieter Bauer — University of Rostock, Germany

We characterize a Floquet-topological insulator on a finite square lattice with a linear defect in the form of an additional on-site potential along the diagonal. In addition to the usual bulk and edge states, this system also exhibits doublon states on its primary and secondary diagonals. The doublons' energies increase with the diagonal potential, which leads to a rich band structure, including crossings and avoided crossings with other states.

In real-time propagation, an edge state traveling along the boundary of the system will split when hitting the linear defect and continue propagating along the edge and the diagonal simultaneously. The strength of the diagonal potential determines the ratio between both parts. This behavior could allow for the non-destructive measurement of topological edge states. We find and explain a temporal delay between the two contributions traveling around and through the defect.