Dresden 2026 – scientific programme
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TT: Fachverband Tiefe Temperaturen
TT 99: Quantum Chaos and Coherent Dynamics (joint session DY/TT)
TT 99.8: Talk
Friday, March 13, 2026, 11:45–12:00, HÜL/S186
Floquet engineering in lattice systems with a parametrically modulated parabolic potential — •Usman Ali1, Martin Holthaus1, and Torsten Meier2 — 1Institut für Physik, Carl von Ossietzky Universität, D-26111 Oldenburg, Germany — 2Department of Physics, Paderborn University, Warburger Strasse 100, D-33098 Paderborn, Germany
We present a route to Floquet engineering in lattice systems that exploits a parabolic potential to generate tunable slowly varying on-site energies. When a selected level spacing in the spectrum of the combined parabolic lattice is brought into near resonance with an external periodic drive, nonlinear resonances emerge in the classical phase space and reorganize quantum eigenstates into families of near-resonant Floquet states. Using a Mathieu-resonance approximation together with numerical Floquet calculations, we construct these states and demonstrate how resonant trap eigenstates transmute into resonance-induced effective ground states [1]. The long-time population and transport dynamics are strongly sensitive to the initial phase of the drive, providing a phase-dependent control knob for engineered tunneling and coherence. We identify parameter regimes accessible to present-day cold-atom experiments and argue that selectively populating these Floquet ground states provides a clean testbed for driven many-body and Floquet-band phenomena, enabling novel lattice dynamics inaccessible in solid-state materials [2]. References: [1] U. Ali, M. Holthaus, and T. Meier, New J. Phys. 26, 123016 (2024) [2] U. Ali, M. Holthaus, and T. Meier, Phys. Rev. Research 5, 043152 (2023)
Keywords: Floquet engineering; Nonlinear resonances; Mathieu approximation; Quantum-classical correspondence; Floquet condensates