Dresden 2020 – wissenschaftliches Programm
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TT 73.3: Vortrag
Freitag, 20. März 2020, 11:30–11:45, HSZ 103
Interacting topological frequency converter — •Simon Körber1, Lorenzo Privitera1, and Björn Trauzettel1,2 — 1Institute of Theoretical Physics and Astrophysics, University of Würzburg, 97074 Würzburg, Germany — 2Würzburg-Dresden Cluster of Excellence ct.qmat, Germany
Driving with a periodic force effectively raises the dimensionality of a system since each eigenstate can be expanded with respect to the harmonics of the drive frequency, with the Fourier amplitudes acting as additional coordinates. This extension opens a new approach to engineer and explore novel topological phases in synthetic dimensions. In this context, it has been shown that a two-level system coupled to two circularly polarized drives can act as the temporal analog of a Chern insulator, where the Hall response translates into a quantized frequency conversion between the dynamical drives.
In this talk, we extend this idea by analyzing a two-spin model with spin-spin interactions in addition to external fields. We demonstrate that the interplay of interaction and synthetic dimension gives rise to striking topological phenomena that have no counterpart in the non-interacting regime. By calculating the topological phase diagrams as a function of interaction strength, we show that this can lead to an enhancement of the frequency conversion as a direct manifestation of the correlated topological response.