Abstract
For a two-component bosonic system, the components can be mapped onto a pseudo-spin degree of freedom with spin quantum number S = 1/2. We provide a rigorous proof that for a wide-range of real Hamiltonians with component independent mass and interaction, the ground state is a ferromagnetic state with pseudospin fully polarized. The spin-wave excitations are studied and found to have quadratic dispersion relations at long wavelength.
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