We present the explicit analytical results of all the eigenstates and eigenvalues using a parameter λ without the assumption of Bethe ansatz for three different kinds of six bosonic,modes models. The parameter is det...We present the explicit analytical results of all the eigenstates and eigenvalues using a parameter λ without the assumption of Bethe ansatz for three different kinds of six bosonic,modes models. The parameter is determined by the roots of a polynomial and is solvable analytically or numerically.展开更多
We present the analytical solutions to the two-mode mean-field model for a split Bose Einstein condensate.These explicit solutions completely determine the system's dynamics under the two-mode mean-field approxima...We present the analytical solutions to the two-mode mean-field model for a split Bose Einstein condensate.These explicit solutions completely determine the system's dynamics under the two-mode mean-field approximation for all possible initial conditions.展开更多
We show that the evolution equations for mean quantities such as atom numbers and the inter-modecorrelation for two-mode Bose-Einstein condensates form a closed set of equations in the SU(2) coherent state description...We show that the evolution equations for mean quantities such as atom numbers and the inter-modecorrelation for two-mode Bose-Einstein condensates form a closed set of equations in the SU(2) coherent state description,and they are identical in form to the two-mode mean-field model with only a slightly reduced two-body interactionstrength. The exact analytical solutions to the evolution equations are also presented.展开更多
文摘We present the explicit analytical results of all the eigenstates and eigenvalues using a parameter λ without the assumption of Bethe ansatz for three different kinds of six bosonic,modes models. The parameter is determined by the roots of a polynomial and is solvable analytically or numerically.
文摘We present the analytical solutions to the two-mode mean-field model for a split Bose Einstein condensate.These explicit solutions completely determine the system's dynamics under the two-mode mean-field approximation for all possible initial conditions.
文摘We show that the evolution equations for mean quantities such as atom numbers and the inter-modecorrelation for two-mode Bose-Einstein condensates form a closed set of equations in the SU(2) coherent state description,and they are identical in form to the two-mode mean-field model with only a slightly reduced two-body interactionstrength. The exact analytical solutions to the evolution equations are also presented.
