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Q: Fachverband Quantenoptik und Photonik

Q 70: Quantum gases: Lattices IV

Q 70.3: Vortrag

Freitag, 21. März 2014, 17:00–17:15, UDL HS2002

Transport phenomena in fastly driven lattices — •Alexander Itin — Center for optical quantum technologies, Hamburg University, Germany — Space Research Institute, Moscow, Russia

I present analysis of several systems related to driven lattices. Firstlly, directed transport in a fastly driven classical periodic potential is considered [1]. Using canonical perturbation theory, general expressions are derived for the drift velocity in arbitrary potential and force. I extend this scheme to solve GP equation in a shaken lattice, as realized in a recent Hamburg experiment [2]. This gives interesting new insight into the system, allowing to interpretate subtle features in experimental results. I consider then fully quantum systems, Bose- and Fermi-Hubbard models, in the presence of high-frequency driving. A method inspired by classical canonical perturbation theory is developed to derive effective Hamiltonians of these systems. I demonstrate that the presented method [4] has some advantages to recent studies based on flow equation method [3]. One of the possible application of results is coherent light-control of solids [5]. I also analyze recent Hamburg experiments with ultracold atoms in amplitude-modulated optical lattices [6], which build quantum simulator of the phenomenon of photoconductivity. I extend my semiclassical analysis [6] to interacting mixtures of gases. [1] A.P.Itin, A.I.Neishtadt, Phys.Rev.E 86, 016206 (2012). [2] J.Struck et.al, Phys. Rev. Lett. 108, 225304 (2012). [3] A. Verdeny et. al., Phys. Rev. Lett. 111, 175301 (2013). [4] A.P.Itin, arxiv:1213.xxx (2013). [5] A.Subedi et.al, arxiv::1311.0544 (2013). [6] J.Heinze et.al, Phys. Rev. Lett. 110 (2013).