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- W2724833147 abstract "In this work, we study phase transitions in dilute Bose-Einstein Condensates theoretically. The Gross-Pitaevskii equation (GPE) is applied to describe the properties of dilute Bose gases near zero temperature for various confining geometries. Then, using the harmonic trap, the Thomas Fermi equation has been investigated. The Bose-Hubbard Model has been also investigated using the mean field approach. It is indicated that Bose-Einstein condensation is a second order phase transition. We also presented an exactly solvable phase transition model in which the phase transition is purely statistically derived. It is found out that the mean field theory can be applied to a number of physical systems so as to study the phenomena of Berezinsky-Kosterlitz- Thouless (BKT) phase transitions. Keywords : Phase Transition, BEC, GPE, Bose-Hubbard Model, Berezinsky-Kosterlitz-Thouless (BKT), Mean Field equation" @default.
- W2724833147 created "2017-07-14" @default.
- W2724833147 creator A5029054383 @default.
- W2724833147 date "2017-01-01" @default.
- W2724833147 modified "2023-09-23" @default.
- W2724833147 title "Theoretical Study of Phase Transitions in Dilute Bose-Einstein Condensates" @default.
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