Ground-state properties of ultra-cold atomic gases
Author
Sevinçli, Sevilay
Advisor
Tanatar, Bilal
Date
2008Publisher
Bilkent University
Language
English
Type
ThesisItem Usage Stats
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Abstract
After the observation of Bose-Einstein condensation, the developments in the
experimental control and measurement methods provided the realization of basic
models of many-body physics using dilute, ultra-cold gases. This thesis presents a
theoretical study on a number of topics on ultra-cold atomic gas systems. First,
a simple model of trapped, degenerate ultra-cold plasma is presented. Using
the variational approach, the dependence of the cloud size on electron density
is studied, electron and ion densities are also calculated by means of modified
Thomas-Fermi model. Next, the behavior of a single particle hopping on a three
dimensional cubic optical lattice in the presence of a Mott insulator of bosons
is investigated. Localization problem of a single fermion is studied and effects
of lattice anisotropy, and higher impurity bands are also calculated. Then, a
two-dimensional condensate with long-range, attractive gravity-like interaction
is studied. Ground-state properties, dynamics, and vortex states are analyzed
by using a variational approach for this system. Finally, the thermodynamics
of the harmonically trapped ideal gas obeying generalized exclusion statistics is
investigated.
Keywords
ultra-cold plasmagravity-like interaction
Bose-Fermi mixtures
optical lattices
ideal g-on gases