Regensburg 2007 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 21: Solids at Low Temperature - Poster Session

TT 21.2: Poster

Wednesday, March 28, 2007, 14:00–17:45, Poster A

Density Correlations in Ultracold Atomic Fermi Gases via the Richardson Solution — •Simon Staudenmayer¹, Christoph Bruder², and Wolfgang Belzig¹ — ¹Universitaet Konstanz, Fachbereich Physik, D-78457 Konstanz — ²Institut fuer Physik, Klingelbergstr. 82, CH-4056 Basel

Ultracold fermionic atomic gases have attracted considerable attention both from a theoretical and experimental point of view recently. The crossover from a Bose-Einstein condensate (BEC) of strongly bound molecules to a weakly interacting Bardeen-Cooper-Schrieffer (BCS)-like state is of particular interest. Investigations of this BEC-BCS crossover and the ability to tune the mutual interaction between atoms in one and the same system via a Feshbach resonance are interesting from a fundamental many-body point of view. The BEC-BCS transition also yields a crossover in the statistics of number densities: the statistics is Poissonian on the BEC side and binomial on the BCS side [1]. We therefore present a method, adapting the concept of full counting statistics, that has the potential to be used as an experimental tool to gain information on the many-body ground state. Correlators of a canonical fermionic system are obtained using the so-called Richardson solution, i.e., the exact eigenstates of the BCS pairing hamiltonian. [1] W. Belzig, C. Schroll and C. Bruder, cond-mat/0412269