Dresden 2020 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 53: Poster: Quantum Dynamics, Chaos and Information; Many Body Systems

DY 53.10: Poster

Thursday, March 19, 2020, 15:00–18:00, P1A

Prediction of Floquet oscillations and Zitterbewegung in driven Dirac systems — •Vanessa Junk, Phillipp Reck, Cosimo Gorini, and Klaus Richter — Institut für Theoretische Physik, Universität Regensburg

The modification of solid state systems by time periodic driving has been a very vivid research topic in the last years. A special proof of Floquet engineering’s power was the discovery of Floquet topological insulators [1]. However, the search for similarities between Bloch and Floquet systems is still ongoing.

Here, we predict an analogue of Bloch oscillations [2] occuring in Floquet systems. We numerically demonstrate these Floquet oscillations in a spatially continuous but time-periodically driven Dirac system [3]. A particle is driven through the resulting Floquet band structure by a static electric field and performs a motion similar to Bloch oscillations. Since the features of the Floquet bands are mimicked by these oscillations, the latter could provide a way to directly measure the Floquet bands. Due to the Dirac character of our model system, we can also observe Zitterbewegung with frequency equal to the energy difference of the Floquet bands.

[1] N. H. Lindner, G. Refael, and V. Galitski, Nature Physics 7, 13368 (2016)

[2] K. Leo, P. Haring Bolivar, F. Brüggemann, R. Schwedler, and K. Köhler, Solid State Comm. 84, 943 (1992)

[3] V. Junk, P. Reck, C. Gorini, and K. Richter, arXiv:1906.04446v1