الفهرس 
IntroductionOnly 14 pages are availabe for public view
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Abstract
Considerable interest in observing effects in atomic condensates relative to the hallmark effects associated with superfluidity and superconductivity of Bose-Einstein condensate is seen. In particular, the study of quantized vortices and vortex lattices represents an important connection between the superfluidity and superconductivity. In the thesis, the physical parameters relevant to superfluidity nature of rotating condensate boson atoms in one and two dimensional deep optical potential were presented.
The impossibility of vortex nucleation for non-interacting system.
• For systems with finite size number of atoms the Critical rotation rate αc decreases
with the number of particles N and optical lattice depth s, while it increases with increasing the interatomic interaction parameter η.
• The superfluid fraction depends significantly on the interatomic interaction and the number of particles.
• the vortices number versus the rate of rotation shows a maximum value at specific angular velocity of rotation.
• The vortices number and critical atoms number have major dependance on the
inter-atomic interaction parameter η, the number of particles N and the optical
lattice depth s.
• The interesting thing here is that all of the previous parameters have the same behaviour for both combined harmonic-1D optical potential and harmonic-2D optical potential.