Regensburg 2010 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 32: MLT: Quantum Liquids, Bose-Einstein Condensates, Ultra-cold Atoms, ... 2

TT 32.13: Talk

Thursday, March 25, 2010, 17:30–17:45, H18

Luttinger liquid of trimers in the asymmetric Fermi Hubbard model — •Giuliano Orso¹, Evgeni Burovski², and Thierry Jolicoeur² — ¹LMU Muenchen, Germany — ²LPTMS, University of Paris South, France

We investigate attractive fermions in a one dimensional optical lattice with unequal tunneling rates [1]. Due to the mass asymmetry, the microscopic model is not integrable and multi-particle bound states appear. We focus on trimers, namely three-body bound state made of one light and two heavy fermions. We first present the exact solution of the three-body problem, yielding the binding energy and the effective mass of a single trimer. Based on DMRG simulations, we then show that trimers can open an energy gap at finite commensurate densities, leading to a suppression of superconducting correlations and topological changes in the grand-canonical phase diagram. [1] G. Orso, E. Burovski and T. Jolicoeur, arXiv:0907.1533