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Q: Fachverband Quantenoptik und Photonik

Q 33: Quantum Gases: Bosons IV

Q 33.8: Talk

Wednesday, March 8, 2023, 16:15–16:30, A320

Floquet analysis of quantum dynamics in periodically driven optical lattices — •Usman Ali¹, Martin Holthaus², and Torsten Meier¹ — ¹Paderborn University, Department of Physics, Warburger Strasse 100, D-33098 Paderborn, Germany — ²Institut für Physik, Carl von Ossietzky Universität, D-26111 Oldenburg, Germany

Ultracold atoms in optical lattices exhibit very rich dynamics in response to time-periodic driving. With amplitude and frequency of the driving field being the main control parameters, it is shown that the initial phase of the drive induces significantly and qualitatively different dynamics. We discuss how the role of the phase can be understood within Floquet formalism. An approach that is based on the quantum pendulum approximation, allows to analytically obtain the quasi-energy spectrum and the Floquet states. This approximation is well justified for resonant driving conditions, yet our interpretations provide a general understanding of the dynamics. We evaluate our approach for an experimentally relevant example.