List of Figures
2.1 The basic Stracture of the code implementing split-step Fourier method . . 10
2.2 (Color online) Dispersion curve for elementary excitations in liquid helium,
adapted from reference [6]. The roton region is near the minimum...... 11
2.3 (Color online) Density Profile of the ground state of a quasi-2D dipolar
condensate in a infinite square well. The density-wave oscillations can be
observed near the boundaries......................... 12
3.1 ThebasicstractureofthecodesolvingBdGequationself-Consistently ... 19
3.2 Density profiles of the atomic cloud. The left and right column are results
from different traps with trap aspect ratio Λ = 5 and 50, respectively. The
upper, middle and lower row correspond to different polarization P = 0.2
0.4 and 0.6, respectively. In each subplot, we have shown (from left to
right) the column densities of the majority component, of the minority com-
ponent, their difference, and the axial spin denisty. The units for length is
Zγe, the Thomas-Fermi radius along the z-axis for an ideal Fermi gas. . . . 20
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