Berlin 2005 – scientific programme
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TT: Tiefe Temperaturen
TT 9: Solids at Low Temperature - Quantum Liquids, Bose-Einstein Condensates, Ultracold Atoms, ...
TT 9.3: Talk
Friday, March 4, 2005, 17:45–18:00, TU H3027
Quantum Monte Carlo simulations of fermions with attractive interactions confined on optical lattices — •F. Karim Pour1, F. de León1, M. Rigol1,2, and A. Muramatsu1 — 1Institut für Theoretische Physik III, Universität Stuttgart, 70550 Stuttgart, Germany — 2Physics Department,University of California, Davis, CA 95616, USA
We present numerical simulations for the negative U Hubbard model for fermions confined on one- (1D) and two-dimensional (2D) lattices. In the 1D case we calculate the exponents related to diagonal and off-diagonal quasi-long range order for different trapping potentials and compare them with the corresponding ones in periodic system. In 2D we characterize the crossover region between the BCS and BEC regimes. Finally, we discuss the possibility of coexistence of diagonal and off-diagonal long range order in the presence of a trapping potential.