Phase diffusion of a two-component Bose-Einstein condensates: exact and short-time solutions for arbitrary coherent spin state

We investigate phase diffusion of a two-component Bose-Einstein condensates prepared initially in arbitrary coherent spin state $|θ_0,ϕ_0\rangle$. Analytical expression of the phase-diffusion time is presented for $θ_0\neqπ/2$ case. In comparison with the symmetrical case (i.e., $θ_0=π/2$), we find that the diffusion process becomes slowly due to the reduced atom number variance.

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