Thermodynamic parameters of a rotating bose einstein condensation in 2D optical lattice /
Hend Ahmed Sayed Abdelghany
Thermodynamic parameters of a rotating bose einstein condensation in 2D optical lattice / الخواص الثيرمودينامكية لتكثيف بوز اينشتين الدوار فى جهد ضوئى ثنائى الابعاد Hend Ahmed Sayed Abdelghany ; Supervised Abdelhamid A. Galal , Ali Y. Ellithi , Ahmed S. Hassan - Cairo : Hend Ahmed Sayed Abdelghany , 2015 - 75 P. : facsimiles ; 25cm
Thesis (M.Sc.) - Cairo University - Faculty of Science - Department of Physics
In this thesis, we provide a consistent thermodynamic picture of rotating Bose Einstein condensation in a combined harmonic-optical potential. An expression for condensation fraction, critical temperature and heat capacity are derived analytically using a modied semiclassical approximation. In this approximation the sum over the energy levels for the thermodynamical quantities is replaced directly by an ordinary integral weighed with appropriate density of states. The suggested approach is able to include the nite size and positive chemical potential effect simultaneously. The above mentioned thermodynamical parameters are calculated for two dierent physical regimes of the combined harmonic - optical potential. The rst one, which is characterized by a shallow optical lattice and low energy states, the eigenstates of the combined potential are approximated by localized states in a pseudo-band structure. While the second regime, which is characterized by a very deep optical lattice and high energy, the eigenvalue states of the combined potential are approximated by eigenvalue states of a highly anisotropic 3D harmonic oscillator
2D optical lattice Bose einstein condensation Rotating lattice
Thermodynamic parameters of a rotating bose einstein condensation in 2D optical lattice / الخواص الثيرمودينامكية لتكثيف بوز اينشتين الدوار فى جهد ضوئى ثنائى الابعاد Hend Ahmed Sayed Abdelghany ; Supervised Abdelhamid A. Galal , Ali Y. Ellithi , Ahmed S. Hassan - Cairo : Hend Ahmed Sayed Abdelghany , 2015 - 75 P. : facsimiles ; 25cm
Thesis (M.Sc.) - Cairo University - Faculty of Science - Department of Physics
In this thesis, we provide a consistent thermodynamic picture of rotating Bose Einstein condensation in a combined harmonic-optical potential. An expression for condensation fraction, critical temperature and heat capacity are derived analytically using a modied semiclassical approximation. In this approximation the sum over the energy levels for the thermodynamical quantities is replaced directly by an ordinary integral weighed with appropriate density of states. The suggested approach is able to include the nite size and positive chemical potential effect simultaneously. The above mentioned thermodynamical parameters are calculated for two dierent physical regimes of the combined harmonic - optical potential. The rst one, which is characterized by a shallow optical lattice and low energy states, the eigenstates of the combined potential are approximated by localized states in a pseudo-band structure. While the second regime, which is characterized by a very deep optical lattice and high energy, the eigenvalue states of the combined potential are approximated by eigenvalue states of a highly anisotropic 3D harmonic oscillator
2D optical lattice Bose einstein condensation Rotating lattice