Hubbard Model for Asymmetric Ultracold Fermionic ... - KOMET 337

3.4. NUMERICAL RESULTS 33x-position6421.5246z-position810.510 0nDiff.0.0020.00150.0010.000502x-position46246810z-positionFigure 3.16: Spatial distribution of the parameters n and (n ↑ − n ↓ ) = nm in the x-z-planeat trap parameters: {U = −2, t = 1, µ 0 = 1, B = −0.01, Ω = Diag(0.2,0.3,0.1)}. The orderparameter ∆ vanishes in the whole system and is not shown.We will now discuss the numerical results presented in Figures 3.14 - 3.16. These Figuresdemonstrate that:1. Phase separation occurs: at different lattice sites different phases are found.2. The superfluid polarized phase never occurs.3. We see a shell structure of non-superfluid magnetized and superfluid non-magnetizedrings.4. In Figure 3.14 we have the magnetized phase in the center of the trap, the superfluidring sorrounding it and a magnetized phase in the outer region.5. In Figure 3.15 the magnetized phase in the center is missing, we have a superfluid phasein the center sorrounded by a magnetized phase.6. In Figure 3.16 superfluidity breaks down in the whole system. There is only the magnetizedphase left.