Berlin 2008 – scientific programme
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TT: Fachverband Tiefe Temperaturen
TT 38: Matter At Low Temperature: Quantum Liquids, Bose-Einstein Condensates, Ultra-cold Atoms, ...
TT 38.2: Talk
Friday, February 29, 2008, 10:30–10:45, H 3010
Noise correlation for fermions with attractive interactions confined in one-dimensional optical lattices — •Farshid Karim Pour1, Stefan Wessel1, Marcos Rigol2, and Alejandro Muramatsu1 — 1Institut für Theoretische Physik III, Universität Stuttgart, Pfaffenwaldring 57, D-70550 Stuttgart, Germany. — 2Department of Physics, University of California, Santa Cruz, 1156 High Street Santa Cruz, CA 95064, USA
Using quantum Monte Carlo simulations, we study the behavior of the one-dimensional attractive fermionic Hubbard model in different confinement potentials. Studying the noise correlation function we show that the signals for charge-density wave and superconductivity can clearly be seen in the noise correlation function for such fermionic systems. We show that density-density and pairing correlation functions are characterized by the anomalous dimension Kρ of a corresponding periodic system. This allows us to determine conditions for a supersolid state inside a trap. We find that, eventhough the SU(2) symmetry is broken by the confining potential, density-desity and pairing correlations can decay with exactly the same exponent, hence giving rise to a (quasi-)supersolid in 1D[1].
[1] F. Karim Pour, M. Rigol, S. Wessel, A. Muramatsu, PRB 75, 161104(R) (2007)