Heidelberg 2015 – wissenschaftliches Programm

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Q: Fachverband Quantenoptik und Photonik

Q 15: Poster: Quantum Optics and Photonics I

Q 15.26: Poster

Montag, 23. März 2015, 17:00–19:00, C/Foyer

Experimental and theoretical study of the topological Haldane model — •Michael Messer, Gregor Jotzu, Rémi Desbuquois, Martin Lebrat, Thomas Uehlinger, Frederik Görg, Daniel Greif, and Tilman Esslinger — Institute for Quantum Electronics, ETH Zurich, 8093 Zurich, Switzerland

The Haldane model is a fundamental example of a Hamiltonian exhibiting topologically distinct phases of matter and featuring a quantum Hall effect without a net magnetic field. We report on the experimental realisation of the Haldane model and the characterisation of its topological band-structure, using non-interacting ultracold fermionic atoms in a periodically modulated honeycomb lattice. We explore the resulting Berry-curvatures of the lowest band and map out topological phase transitions connecting distinct regimes. We furthermore relate our experimental study of the topological Haldane model to the analytical and numerical calculation of an effective Hamiltonian for time-modulated optical lattices. Using Floquet theory, we derive the mapping from a modulated honeycomb lattice to the Haldane Hamiltonian.