Abstract
Motivated by recent experiments (Vengalattore et al. in Phys. Rev. Lett. 100: 170403, 2008; Vengalattore et al., arXiv:0901.3800), we study quasi 2D ferromagnetic condensates with various aspect ratios. We find that in zero magnetic field, dipolar energy generates a local energy minimum with all the spins lie in the 2D plane forming a row of circular spin textures with alternating orientation, corresponding to a packing of vortices of identical vorticity in different spin components. In a large magnetic field, the system can fall into a long lived dynamical state consisting of an array of elliptic and hyperbolic Mermin-Ho spin textures, while the true equilibrium is an uniaxial spin density wave with a single wave-vector along the magnetic field, and a wavelength similar to the characteristic length of the long lived vortex array state.
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Zhang, J., Ho, TL. Spontaneous Vortex Lattices in Quasi 2D Dipolar Spinor Condensates. J Low Temp Phys 161, 325–333 (2010). https://doi.org/10.1007/s10909-010-0207-2
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DOI: https://doi.org/10.1007/s10909-010-0207-2