Research Of The Ground State And Its Characteristics Of Rotation Two-component Bose-einstein Condensates

We start with the Gross-Pitaevskii(GP)equation,and present the ground states of two-component BECs by using Thomas-Fermi approximation(TFA)method and the imaginary time evolution method in different trap with spin-orbit or rotation.Firstly,we introduce some basic properties of BECs,and two kinds of ways to solve GP equation in this paper.Secondly,we investigate the ground-state properties of rotating two-component BECs confined in a harmonic plus Gaussian potential or a harmonic plus quartic trap.For the two-component immiscible BECs,we give the critical angular velocity of each component with the Thomas-Fermi approximation(TFA),which density profile can change from disc shape to annulus shape.For the two-component immiscible BECs,we present their ground states density and the spin textures corresponding to the ground states density using the imaginary-time propagation method.Finally,we give the critical the strength of the spin-orbit-coupled with TFA,and density profiles that can changes from disc shape to annulus shape in a harmonic potential.The analytical solutions are shown to agree with the numerical solutions.