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Title: A Hartree-Fock approach to atomic Bose-Einstein condensates
Author: Bevan, Stephen
ISNI:       0000 0004 5359 2812
Awarding Body: University of Nottingham
Current Institution: University of Nottingham
Date of Award: 2014
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A Hartree-Fock approach is used to approximate the equilibrium and dynamic properties of an ultra-cold Bose gas in various potentials. The required set of single-particle wave functions and energies are derived using a technique that relies on the Bogoliubov inequality. Furthermore, both the ground and excited states are determined by a single Hamiltonian, hence enabling the use of variational principles to locate the natural frequencies. The example systems are all one-dimensional: a harmonic trap, and a ring-trap with and without a periodic potential superimposed. The natural frequencies are shown to have a weak dependence on temperature, whereas the influence of the interaction strength can be significant.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available