The dynamics of quantum phases in a spinor condensate

Abstract

We discuss the quantum phases and their diffusion dynamics in a spinor-1 atomic Bose-Einstein condensate. For ferromagnetic interactions, we obtain the exact ground state distribution of the phases associated with the total atom number ($N$), the total magnetization ($\mathcal{M}$), and the alignment (or hypercharge) ($Y$) of the system. The mean field ground state is stable against fluctuations of atom numbers in each of the spin components, and the phases associated with the order parameter for each spin components diffuse while dynamically recover the two broken continuous symmetries [U(1) and SO(2)] when $N$ and $\mathcal{M}$ are conserved as in current experiments. We discuss the implications to the quantum dynamics due to an external (homogeneous) magnetic field. We also comment on the case of a spinor-1 condensate with anti-ferromagnetic interactions.

5 figures, an extended version of cond-mat/0301178

References in corpus (4)

• Collapse and Revival of the Matter Wave Field of a Bose-Einstein Condensate
• On the single mode approximation in spinor-1 atomic condensate
• Spin squeezing and entanglement in spinor-1 condensates
• Quantum phase diffusions of a spinor condensate

Cited by in corpus (11)

• Spinor Bose-Einstein condensates
• Solitons in a trapped spin-1 atomic condensate
• Quantum Noise, Scaling and Domain Formation in a Spinor BEC
• Spinor Bose-Einstein condensate flow past an obstacle
• Goldstone-mode Instability leading to Fragmentation in a Spinor Bose-Einstein Condensate
• Three-body Physics in Strongly Correlated Spinor Condensates
• Coherence lifetimes of excitations in an atomic condensate due to the thin spectrum
• Spinor Bose-Einstein condensates in double well potentials
• Dynamical Instability Induced by Zero Mode Under Symmetry Breaking External Perturbation
• Phase-imprint induced domain formations and spin dynamics in spinor condensates
• Control of dynamical phase transitions and non-ergodic relaxation via spinor phases