Quantum phase diffusions of a spinor condensate

Details Quantum phase diffusions of a spinor condensate Quantum phase diffusions of a spinor condensate

2003-01-12

arxiv.org/abs/cond-mat/0301178v1

Physics

Condensed Matter

4 pages, 2 figures

Scientific paper

10.1103/PhysRevLett.90.140404

We discuss the quantum phases and their diffusion in a spinor-1 atomic Bose-Einstein condensate. For ferromagnetic interactions, we obtain the exact ground state distribution of the phase fluctuations corresponding to the total atom number ($N$), the magnetization (${\cal M}$), and the alignment (or hypercharge) ($Y$) of the system. The mean field ground state is shown to be stable against these fluctuations, which dynamically recover the two continuous symmetries associated with the conservation of $N$ and ${\cal M}$ as in current experiments.

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