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Abstract: The $s=1$ spinor Bose condensate at zero temperature supports ferromagneticand polar phases that combine magnetic and superfluid ordering. We investigatethe formation of magnetic domains at finite temperature and magnetic field intwo dimensions in an optical trap. We study the general ground state phasediagram of a spin-1 system and focus on a phase that has a magnetic Ising orderparameter and numerically determine the nature of the finite temperaturesuperfluid and magnetic phase transitions. We then study three differentdynamical models: model A, which has no conserved quantities, model F, whichhas a conserved second sound mode and the Gross-Pitaevskii GP equation whichhas a conserved density and magnetization. We find the dynamic criticalexponent to be the same for models A and F $z=2$ but different for GP $z\approx 3$. Externally imposed magnetization conservation in models A and Fyields the value $z \approx 3$, which demonstrates that the only conserveddensity relevant to domain formation is the magnetization density.



Author: Subroto Mukerjee, Cenke Xu, Joel E. Moore

Source: https://arxiv.org/







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