| Summary: | 碩士 === 國立東華大學 === 應用物理研究所 === 96 === We investigate the mean-field solutions of a binary mixture of trapped atomic
Bose-Einstein condensates (BEC). The miscibility of this quantum fluid system is
investigated for a general choice of experimental parameters. From symmetric
properties of the G.P. equation, we argue that it is useful to group the parameters of the
theory into two categories: (1) the intrinsic properties of each component, such as
scattering lengths, and etc; (2) interspecies scattering length,a12 , which is symmetric
under a permutation of the condensates in the Hamiltonian. Using the steepest decent
method we solve the coupled GP equations numerically and find a simple phase
diagram a12 versus ax, where ax are the parameters of type (1), illustrating the
properties of phase separation of the mixture.
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