Recently a new outlook on dealing with dipolar ultracold fermions based on density
functional methods has received attention. A Thomas-Fermi treatment coupled with
a variational approach has been developed for a collection of fermions trapped in a
harmonic potential interacting via dipole-dipole forces. In this thesis, firstly our alternative
formalism for Thomas-Fermi method by performing some calculations based
on the Kohn-Sham formalism which is one of the main idea of density functional theory
is investigated. Furthermore, density distributions are obtained dependent to the
parameters / rescaled interaction strength, dipole-dipole energy and the trap parameter
which determine the trap geometry based on this theory. The thesis starts with
a brief outline of the density functional theory and theory of our system, continues
with calculations based on this theory, which are free of any variational assumptions
for the density profile. Moreover, results of density graphics for harmonic trap will
be followed by discussion of comparison and contrast with Thomas-Fermi method
based on the paper of Goral et al.. These discussions are mainly about the shape of
the density distribution, variation of the cloud parameters and energy behaviours according
to the rescaled interaction strength. The thesis concludes with an analysis of contribution of density functional theory to this fermionic system.
| Identifer | oai:union.ndltd.org:METU/oai:etd.lib.metu.edu.tr:http://etd.lib.metu.edu.tr/upload/12610948/index.pdf |
| Date | 01 September 2009 |
| Creators | Akyar, Ozge |
| Contributors | Toffoli, Hande |
| Publisher | METU |
| Source Sets | Middle East Technical Univ. |
| Language | English |
| Detected Language | English |
| Type | M.S. Thesis |
| Format | text/pdf |
| Rights | To liberate the content for public access |
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