Hannover 2010 – wissenschaftliches Programm

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Q: Fachverband Quantenoptik und Photonik

Q 55: Poster II

Q 55.1: Poster

Donnerstag, 11. März 2010, 16:00–19:00, Lichthof

Process-chain approach and its application to bosonic lattice systems — •Dennis Hinrichs, Niklas Teichmann, and Martin Holthaus — Institut für Physik, Carl von Ossietzky Universität, D-26111 Oldenburg, Germany

Using Kato’s formulation of the perturbation series we implement a diagrammatic process-chain approach, which enables us to obtain ground state expectation values and phase boundaries for lattice boson models [1]. We study the transition from a Mott insulator to a superfluid in the Bose-Hubbard model for various dimensions and geometries at zero temperature, employing the method of the effective potential. Furthermore, we find a scaling relation that maps critical hopping parameters for different filling factors onto each other [2]. Currently, we are extending this method to other lattice models.

[1] N. Teichmann, D. Hinrichs, M. Holthaus and A. Eckardt,
Phys. Rev. B 79, 224515 (2009)

[2] N. Teichmann, D. Hinrichs, EPJ B 71, 219 (2009)