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Q: Quantenoptik und Photonik

Q 28: Quantengase III

Q 28.2: Talk

Tuesday, March 23, 2004, 16:45–17:00, HS 225

Inhomogeneous Bose-Fermi mixtures in regular lattices — •M. Cramer¹, J. Eisert¹, and F. Illuminati² — ¹Institut für Physik, Universität Potsdam, Am Neuen Palais 10, D-14469 Potsdam — ²Dipartimento di Fisica, Università di Salerno, INFM UdR di Salerno, I-84081 Baronissi (SA)

We determine ground state properties of inhomogeneous boson-fermion mixtures in regular lattices by studying the Bose-Fermi Hubbard model with the inclusion of confining external potentials. We present the exact solution in the limit of vanishing hopping (ultradeep lattices) and study the resulting domain structure of composite particles. Finite hopping is introduced in the framework of mean field theory and perturbative corrections. We determine the domain boundaries between Mott-insulator and hopping-dominated regions for lattices of arbitrary dimensionality within Landau theory. The results are compared with a numerical analysis based on a Gutzwiller variational approach.