Universality in the BCS - BEC Crossover in Cold Fermion Gases

Details Universality in the BCS - BEC Crossover in Cold Fermion Gases Universality in the BCS - BEC Crossover in Cold Fermion Gases

2007-01-08

arxiv.org/abs/cond-mat/0701157v1

Physics

Condensed Matter

Superconductivity

14 pages, 6 figures. Talk given at the 2006 ECT* School ``Renormalization Group and Effective Field Theory Approaches to Many-

Scientific paper

We address the finite temperature phase diagram of ultracold fermionic atoms across a Feshbach resonance based on a functional integral for an atom-molecule model. This allows to fully exploit the presence of the global symmetry of phase rotations, U(1). Both the equation of state and the classification of the thermodynamic phases are obtained from a symmetry consideration. We focus on the universal aspects associated to narrow and broad resonances, in turn connected by an additional form of crossover. The narrow resonance limit can be solved exactly above the critical temperature. We also assess deviations from the broad resonance universality which have recently been probed experimentally.

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