Abstract
Static and dynamic stabilities of two-component Bose-Einstein condensates trapped in harmonic potentials are studied. Using the variational method, we obtain the static stability condition and the phase separation condition. They are expressed as functions of the particle numbers and the s-wave scattering lengths. We find that the interaction between the different species of atoms (simply, interspecies interaction) has significant effects on the stability of each condensate. The instability of the ground state is explained in terms of the lowering (softening) of the collective excitation energies. We investigate the low-lying excitations and the possibility of their softening by use of the Gaussian ansatz and the sum-rule approach.
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Morise, H., Wadati, M. Stability of Two-Component Bose-Einstein Condensates in Traps. Journal of Low Temperature Physics 121, 0 (2000). https://doi.org/10.1023/A:1017556420170
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DOI: https://doi.org/10.1023/A:1017556420170