Breakdown of the local density approximation in interacting systems of cold fermions in strongly anisotropic traps

Abstract

We consider spin-polarized mixtures of cold fermionic atoms on the BEC side of the Feshbach resonance. We demonstrate that a strongly anisotropic confining potential can give rise to a double-peak structure in the axial distribution of the density difference and a polarization-dependent aspect ratio of the minority species. Both phenomena appear as a result of the breakdown of the local density approximation for the phase-separated regime. We speculate on the implications of our findings for the unitary regime.

Final published version

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• Normal-Superfluid Interface Scattering For Polarized Fermion Gases
• Visualization of vortex bound states in polarized Fermi gases at unitarity
• Non-BCS superfluidity in trapped ultracold Fermi gases
• Concomitant Modulated Superfluidity In Polarized Fermionic Gases
• Bogoliubov-de Gennes study of trapped spin-imbalanced unitary Fermi gases
• Mean-field study of itinerant ferromagnetism in trapped ultracold Fermi gases: Beyond the local density approximation
• Quantum Coherent States of Interacting Bose-Fermi Mixtures in One Dimension
• BEC immersed in a Fermi sea: Theory of static and dynamic behavior across phase separation
• Quantum Nucleation and Macroscopic Quantum Tunneling in Cold-Atom Boson-Fermion Mixtures