Quantum phase diffusions of a spinor condensate

Abstract

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 ($\mathcal{M}$), 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 $\mathcal{M}$ as in current experiments.

4 pages, 2 figures

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Cited by in corpus (13)

• Spinor Bose-Einstein condensates
• Coherent spin mixing dynamics in a spin-1 atomic condensate
• Mathematical models and numerical methods for spinor Bose-Einstein condensates
• Solitons in a trapped spin-1 atomic condensate
• Critical fluctuations in a soliton formation of attractive Bose-Einstein condensates
• Tunnelling of condensate magnetization in a double-well potential
• Goldstone-mode Instability leading to Fragmentation in a Spinor Bose-Einstein Condensate
• The dynamics of quantum phases in a spinor condensate
• Phase diffusion in a Bose-Einstein condensate of light
• Spontaneously axisymmetry breaking phase in a binary mixture of spinor Bose-Einstein condensates
• Coherence lifetimes of excitations in an atomic condensate due to the thin spectrum
• Phase diffusion of Bose-Einstein condensates in a one-dimensional optical lattice
• Dynamical Instability Induced by Zero Mode Under Symmetry Breaking External Perturbation