THE IMPACT OF INTERACTION ON BOSE-EINSTEIN CONDENSATION OF ULTRACOLD ATOMIC GASES IN TRAPPED POTENTIALS
ALEM MEBRAHATU *
Department of Physics, Mekelle University, Mekelle, P.O.Box 231, Ethiopia.
SEID NIGATU FENTAW
Woldia University, Woldi, Ethiopia.
*Author to whom correspondence should be addressed.
Abstract
In this paper, we discuss theoretically the behavior of ideal Bose-Einstein gases in a 3D box and in a harmonic trap. We make use of the mean filed theory based on the time dependent Gross-Pitaevskii equation which describes the main features of Bose-Einstein condensation. We investigate and discuss the density profiles and the ground state properties of a trapped condensate confined in harmonic trap. We found out that in an attractive interaction, the gas tends to increase its central density in order to lower the interaction energy.
Keywords: Gross-Pitaevskii equation, harmonic trap, atomic gases Bose - Einstein condensation