Research On Phase Separation Of Two-component Ultrocold Atomic Gas

This paper analyzes the properties of two-component Bose-Einstein condensates with long-range mopoloar,dipolar interaction,and modified attractive interaction.The couple Gross-Pitaevskii Equations(GP Equations)of two-component BECs are obtained firstly.And then,the properties of the system are investigated by using Thomas-Fermi Approximation,Crank-Nicolson method and the exact diagonalization method,respectively.The thesis is organized as follows:Chapter one reviews the background of theoretical and experimental research on BEC,derivation of GP equation and the extended GP equation.In chapter two,based on the single component of the GP equation,we obtained the two components of coupled GP equations.The effects of inter-component short-range,s-wave scattering,long-range monopolar interaction,particle numbers and external trap potential on the density of BEC is investigated by means of Thomas-Fermi Approximation.The Crank-Nicolson method is introduced in third chapter.The influence of the dipolar interaction strength,particle numbers,and short-range interaction on two component BECs are also investigated.In chapter four,The exact diagonalization method is used to deal with the dimensionless coupled GP equation.And then,we analyzed the effects of s-wave scattering,short-range interaction and particle numbers on the structure of the condensates.Finally,we summarize the properties of two-component BECs with monopolar,dipolar and short-range interaction,and looking forward to some interesting direction of our future research.