Mean field ground state of a spin-1 condensate in a magnetic field

Abstract

We revisit the topic of the mean field ground state of a spin-1 atomic condensate inside a uniform magnetic field ($B$) under the constraints that both the total number of atoms ($N$) and the magnetization ($\mathcal{M}$) are conserved. In the presence of an internal state (spin component) independent trap, we also investigate the dependence of the so-called single spatial mode approximation (SMA) on the magnitude of the magnetic field and $\mathcal{M}$. Our result indicate that the quadratic Zeeman effect is an important factor in balancing the mean field energy from elastic atom-atom collisions that are known to conserve both $N$ and $\mathcal{M}$.

13 pages, 9 figures, to be published in New J. Phys. (http://www.njp.org/)

References in corpus (3)

• All Optical Formation of an Atomic Bose-Einstein Condensate
• Inter-isotope determination of ultracold rubidium interactions from three high-precision experiments
• On the single mode approximation in spinor-1 atomic condensate

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