Hannover 2016 – wissenschaftliches Programm

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A: Fachverband Atomphysik

A 19: Collisions, scattering and correlation phenomena

A 19.1: Poster

Dienstag, 1. März 2016, 16:30–19:00, Empore Lichthof

Floquet-DMFT and its application to the time-periodically driven Hubbard model — •Tao Qin and Walter Hofstetter — Institut für Theoretische Physik, Goethe Universität Frankfurt/Main 60438, Germany

A time-periodically driven system is a well-controlled versatile quantum simulator. The Hofstadter- and Haldane Hamiltonians, which are under intense studies because of their interesting topological properties, have been realized with time-periodically driven cold atoms in the optical lattice. Using the effective Hamiltonian approach, previous studies mainly focused on the non-interacting situation. It is very interesting to introduce 2-particle interactions and study their effect on topological properties. Floquet-DMFT is one possible tool for studying the interacting case. In our work, we study the time-periodically driven Hubbard Hamiltonian with Floquet-DMFT. In the calculation, we use the Bethe lattice and the infinite-dimensional simple cubic lattice. We identify the Mott metal-insulator transition with the increase of the Hubbard U. Comparing with the static Hubbard model, we study the role of the driving. We further calculate the optical conductivity and discuss its potential for indentifying effects of the interaction on topological properties.