Mainz 2017 – scientific programme

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A: Fachverband Atomphysik

A 20: Poster Session I

A 20.3: Poster

Tuesday, March 7, 2017, 17:00–19:00, P OG1

Real-space Floquet DMFT study of spectral functions of time-periodically driven systems — •Tao Qin and Walter Hofstetter — Institut für Theoretische Physik, Goethe-Universität, 60438 Frankfurt/Main, Germany

Time-periodically driven cold atom systems are versatile toolboxes for realizing artificial gauge fields in quantum simulations. Great progress has been made in simulating topologically non-trivial models such as the Hofstadter- and Haldane-Hamiltonians. Up to now most experiments focus on the non-interacting regime. Introducing interactions into systems with artificial gauge fields will be of high interest. Floquet DMFT is a non-perturbative method to study the non-equilibrium steady state in interacting time-periodically driven systems. Using its generalization to real-space Floquet DMFT for inhomogeneous systems we studied the spectral function of the Hofstadter-Falicov-Kimball Hamiltonian and its realization in a time-periodically driven system. We calculated the effect of interactions on edge states in this system and discuss possible ways to observe them in experiments. We also discuss the possibility to study spectral functions of the Hofstadter-Hubbard Hamiltonian in time-periodically driven systems.