SAMOP 2023 – wissenschaftliches Programm

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Q: Fachverband Quantenoptik und Photonik

Q 22: Poster II

Q 22.31: Poster

Dienstag, 7. März 2023, 16:30–19:00, Empore Lichthof

Solving the Floquet matrix for driven optical lattices — •Anna Lena Hauschild, Niklas Köming, Corinna Menz, Christof Weitenberg, and Klaus Sengstock — Institute for Laser Physics, University of Hamburg, Luruper Chaussee 149, 22761 Hamburg, Germany

Ultra cold atoms in optical lattices are a highly-tunable system for quantum emulation of many body physics in solid state systems. By changing the setup of a driven lattice system, different band structure can be studied. In our project we want to build a numerical simulation of driven lattice systems.

Here we implement the Floquet matrix method, which gives a time independent matrix working with modified copies of the base Hamiltonian. In comparison to other relevant methods such as direct time evolution of tight-binding models, the computational effort of this method is higher, but due to less approximation it is in certain cases more accurate.

For the Floquet matrix method the resulting bands will not be ordered correctly:
For intersecting bands we investigate the eigenstates and their properties around the point of intersection for the correct assignment. With this project we want so be able to find topological properties of the system and a preparation for experimental implementation.