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

Abstract

We investigate phase diffusion of a two-component Bose-Einstein condensates prepared initially in arbitrary coherent spin state $|{\theta }_0,{\varphi }_0⟩$. Analytical expression of the phase-diffusion time is presented for ${\theta }_0\ne \pi /2$ case. In comparison with the symmetrical case (i.e., ${\theta }_0=\pi /2$), we find that the diffusion process becomes slowly due to the reduced atom number variance.

3.6pages, 3 figures

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Cited by in corpus (1)

• Quantum-limited metrology in the presence of collisional dephasing