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ABSTRACT

Numerical Studies Of Ultracold Atomic Gases

by

Hong Lu

The experimental success in ultra-cold atomic gases, both bosonic and fermionic have
boosted the theoretical studies, and especially the a lot of numerical techniques have been
developed and used to describe them. In this thesis, we introduce two numerical experi-
ments in our group on ultra-cold atomic gases. The first concerns the scalar dipolar con-
densate. We have developed and implemented a Split-Step Fourier scheme in imaginary
time, which enable us to seek the ground state of the dipolar condensate.The second part
is focused on our ongoing efforts to investigate the trapped spin polarized Fermi gas using
self-consistent Bogoliubov-de Gennes (BdG) calculation.



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