Dresden 2011 – wissenschaftliches Programm
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Q: Fachverband Quantenoptik und Photonik
Q 46: Ultra-cold atoms, ions and BEC V
Q 46.10: Vortrag
Donnerstag, 17. März 2011, 12:45–13:00, BAR 106
Large coordination number expansion for a lattice Bose gas — •Patrick Navez1, Ralf Schützhold2, and Konstantin Krutitsky2 — 1Institut für Theoretische Physik, TU Dresden, D-01062 Dresden, Germany — 2Fakultät für Physik, Universität Duisburg-Essen, Lotharstrasse 1, D-47057 Duisburg, Germany
We establish a set of hierarchy equations describing the time evolution of the N-points spatial correlation reduced density matrix in a lattice Bose gas. This set of equations is solved through a 1/z expansion where z is the coordination number i.e. number of interaction of a site with its nearest neighbors. The leading order of this expansion corresponds to the time-dependent Gutzwiller mean field approach that is used to describe the Bragg scattering in the superfluid regime. The next order contribution includes the correlations between sites. We illustrate how these correlations appear in the process of a ultra fast sweeping from a deep Mott regime to the superfluid regime.