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

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

2003-06-03

arxiv.org/abs/cond-mat/0306076v1

New J. Phys. vol 5, p77 (2003).

Physics

Condensed Matter

Soft Condensed Matter

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

Scientific paper

10.1088/1367-2630/5/1/377

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 ($\cal M$) 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 ${\cal M}$. 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 $\cal M$.

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