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Q: Fachverband Quantenoptik und Photonik

Q 46: Quantengase: Optische Gitter 4

Q 46.6: Vortrag

Donnerstag, 15. März 2012, 15:15–15:30, V53.01

Repulsively bound pairs of bosons and fermions in an optical lattice — •Eva Katharina Rafeld, Bernd Schmidt, and Walter Hofstetter — Institut für Theoretische Physik, Goethe-Universität Frankfurt am Main

We systematically derive and classify effective multi-particle Hamiltonians of repulsively (and attractively) bound pairs of atoms (so-called dimers) in an optical lattice. Specifically we consider boson-fermion pairs, pairs of different bosons or pairs of spinful fermions. In one spatial dimension we investigate properties of interacting dimers using the Time Evolving Block Decimation method (TEBD): we study the ground state phase diagram of the effective dimer models by analyzing the density distribution in a 1d box as well as in a 1d harmonic trap, and we calculate correlators and structure factors to determine the ordering of the different phases. We compare our numerical results for the effective dimer models with those of the full Hamiltonians and with analytic predictions. We also perform time-dependent simulations, analyzing the dynamics of small dimer clusters.