Imambekov, AdiletBolech, C. J.Lukin, MikhailDemler, Eugene2016-08-242006Imambekov, Adilet, C. J. Bolech, Mikhail Lukin, and Eugene Demler. 2006. Breakdown of the Local Density Approximation in Interacting Systems of Cold Fermions in Strongly Anisotropic Traps. Physical Review A 74, no. 5. doi:10.1103/physreva.74.053626.1050-2947http://nrs.harvard.edu/urn-3:HUL.InstRepos:27896442We 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 phaseseparated regime. We speculate on the implications of our findings for the unitary regime.en-USJournal Article2016-08-2410.1103/PhysRevA.74.053626