Hamburg 2009 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 26: Quantengase: Fermionen
Q 26.6: Talk
Tuesday, March 3, 2009, 17:45–18:00, VMP 6 HS-A
Exact numerical simulations of interacting fermions in 1D trapping potentials — •Bernd Schmidt, Dominik Muth, Alexander Mering, and Michael Fleischhauer — Fachbereich Physik, Technische Universität Kaiserslautern, Germany
We discuss p-wave interacting spin-polarized fermions in a 1D trapping potential for arbitrary interaction strength. Using a boson-fermion mapping in 1D, interacting fermions with p-wave interaction strength g1DF can be mapped to bosons with s-wave interaction strength g1DB = − 1/g1DF. As a consequence a weakly interacting Fermi gas behaves in local properties like a strongly interacting Bose gas and vice versa. We derive a proper discretized model for the interacting fermions and compare its predictions with that obtained by the Bose-Fermi mapping using DMRG simulations. We calculate the realspace and momentum distributions of the fermions for arbitrary interaction strength starting at a weakly interacting gas to the Fermi-Tonks limit. and compare the results to predictions from field theoretical approaches.