Heidelberg 2015 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 44: Quantum Gases: Miscellaneous

Q 44.6: Talk

Wednesday, March 25, 2015, 16:00–16:15, P/H2

Quantum simulation of curvature in finite size optical lattices with anharmonic traps — •Nikodem Szpak — Fakultät für Physik, Universität Duisburg-Essen

The usually undesirable effects of finite lattice sizes, due to the spatial limitations of the laser beams, can be mapped onto an effective curvature of a fictitious surface in which the ultracold atoms are hopping. Combined with specially designed anharmonic traps these systems, in their low energy limit, become quantum simulators for evolution of quantum fields in curved spaces. We present our latest results on this analogy and give some examples of artificially designed spaces with positive and negative curvature. We also show how methods of differential geometry can be used to deal with realistic inhomogeneous optical lattices.