example. Then we apply this scheme to study the a non-rotating scalar dipolar condensate
and the code structure will be discussed. We report that we observed the density-wave os-
cillation structure in a quasi-2D dipolar condensate confined in infinite square well, which
may be related to the roton stability in dipolar condensate [8]. In chapter 3, in the first
place, we give a brief introduction to background knowledge and recent experimental pro-
gresses for population imbalanced Fermi gases. Then in next several sections we describe
the structure and related concepts for the BdG code. After that, we will report the results
from our current calculations. Finally, we discuss some future work we are planning.
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