Hannover 2010 – wissenschaftliches Programm

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Q: Fachverband Quantenoptik und Photonik

Q 21: Poster I

Q 21.7: Poster

Dienstag, 9. März 2010, 16:00–19:00, Lichthof

Dynamics of 1D fermionic systems using Matrix Product States — •Michael Lubasch, Mari Carmen Bañuls, and Juan Ignacio Cirac — Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Straße 1, D-85748 Garching, Germany

The focus of our work lies on the Fermi-Hubbard model which is an effective model for strongly interacting fermions on a lattice allowing to study the interplay between kinetic energy, local interaction and Pauli principle. More precisely, we investigate the 1D Fermi-Hubbard model in a harmonic confinement. This is experimentally realized by ultracold fermions in an optical lattice which is confined by a superimposed harmonic trap. All theoretical parameters of the model can be tuned precisely in the experiment.

Concerning our numerical approach, the confined 1D Fermi-Hubbard Hamiltonian can be mapped to a local 1D spin Hamiltonian. These kinds of local spin Hamiltonians are perfectly suited for investigation within the framework of Matrix Product States (MPS). MPS provide an alternative formulation of the Density Matrix Renormalization Group, laying particular emphasis on the amount of entanglement present in the state (Verstraete et al., PRL 93, 227205 (2004)).

Within this framework, we simulate thermal states and the time evolution of easily preparable initial states as they may appear in current experiments with ultracold fermions.