Analytical models for valence fermions in isotropic traps

IUHET 352 December 1996 ANALYTICAL MODELS FOR VALENCE FERMIONS IN ISOTROPIC TRAPS

Thermodynamics of Ultracold Fermions in Traps

The ability to tune the strength of the attractive interaction in trapped Fermi gases is revealing the nature of superfluidity (and superconductivity) in a hitherto unexplored regime. Within the last few years we have witnessed the discovery of strongly interacting Fermi gases; over the last year we have found strong evidence for their superfluidity. These interacting gases appear at intermedia...

Thermodynamics of interacting fermions in atomic traps.

We calculate the entropy in a trapped, resonantly interacting Fermi gas as a function of temperature for a wide range of magnetic fields between the BCS and Bose-Einstein condensation end points. This provides a basis for the important technique of adiabatic sweep thermometry and serves to characterize quantitatively the evolution and nature of the excitations of the gas. The results are then u...

Universal vortex formation in rotating traps with bosons and fermions.

We show that the rotation of trapped quantum mechanical particles with a repulsive interaction can lead to vortex formation, irrespective of whether the particles are bosons or (unpaired) fermions. The exact many-particle wave function constitutes similar structures in both cases, implying that this vortex formation is indeed universal.

Exotic superfluid states of lattice fermions in elongated traps.

We present real-space dynamical mean-field theory calculations for attractively interacting fermions in three-dimensional lattices with elongated traps. The critical polarization is found to be 0.8, regardless of the trap elongation. Below the critical polarization, we find unconventional superfluid structures where the polarized superfluid and Fulde-Ferrell-Larkin-Ovchinnikov-type states emerg...