Hamburg 2009 – wissenschaftliches Programm

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Q: Fachverband Quantenoptik und Photonik

Q 56: Poster IV

Q 56.3: Poster

Donnerstag, 5. März 2009, 16:30–19:00, VMP 9 Poster

Mott-Insulator to superfluid phase transition for arbitrary dimensionality and filling — •Dennis Hinrichs, Matthias Langemeyer, Niklas Teichmann, and Martin Holthaus — Institut für Physik, Carl von Ossietzky Universität, D-26111 Oldenburg, Germany

We study the transition from a Mott insulator to a superfluid in the Bose-Hubbard model at zero temperature, employing the method of the effective potential. Using Kato’s formulation of the perturbation series we implement a diagrammatic process chain approach[1], which enables us to obtain accurate phase boundaries not only for two and three spatial dimensions, but also for higher dimensionalities. This allows us to monitor the convergence to the results predicted by mean-field theory, which is exact for an infinite number of dimensions. We also discuss the peculiar case of one dimension. Compared to many other techniques, an advantage of the method presented here is the possibility to deal with high filling factors[2].

[1] A.Eckardt, arXiv:0811.2353

[2] N.Teichmann, D.Hinrichs, M.Holthaus, A.Eckardt, arXiv:0810.0643