Friday, January 6, 2006, 2:00 pm — Small Seminar Room, Bldg. 510
We develop a functional integral formalism for ultracold fermionic gases which exhibit the BCS-BEC crossover. Our formalism involves both atom and molecule fields, coupled via a Yukawa or Feshbach coupling. In this talk the universal aspects of the crossover problem will be nderlined. Special attention is paid to the universality obtained in the narrow and broad resonance limits (small and large Feshbach couplings, respectively). For the
narrow resonances, an exact solution of the many body problem is established. In the broad resonance case, a strongly coupled fermion system with pointlike microscopic interaction is approached. The "dressed molecules" in the BEC regime behave exactly like weakly interacting
fundamental bosons as described by a standard Bogoliubov theory. Our results agree with Quantum Monte Carlo simulations performed at the resonance. Our findings for the "bare molecules" fit with a recent experimental study.
Hosted by: Anna Stasto
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