s=1旋量凝聚体的动力学模型和相序动力学
Dynamical models and the phase ordering kinetics of the s=1 spinor condensate
摘要：
$s=1$旋量玻色凝聚在零温度下支持铁磁和极性相结合的磁性和超流秩序。本文研究了在有限温度和磁场作用下二维光阱中磁畴的形成。我们研究了自旋为1的系统的一般基态相图，并专注于具有磁性伊辛序参量的相，并数值确定了有限温度超流和磁性相变的性质。然后，我们研究了三种不同的动力学模型：模型A，它没有守恒量，模型F，它有一个保守的第二声音模式和Gross-Pitaevskii（GP）方程，它有一个保守的密度和磁化。我们发现模型A和F（$z=2$）的动态临界指数是相同的，但GP（$z \approx 3$）不同。模型A和F中的外部施加的磁化守恒产生值$z \approx 3$，其表明与畴形成相关的唯一守恒密度是磁化密度。
英文摘要：
The $s=1$ spinor Bose condensate at zero temperature supports ferromagnetic and polar phases that combine magnetic and superfluid ordering. We investigate the formation of magnetic domains at finite temperature and magnetic field in two dimensions in an optical trap. We study the general ground state phase diagram of a spin-1 system and focus on a phase that has a magnetic Ising order parameter and numerically determine the nature of the finite temperature superfluid and magnetic phase transitions. We then study three different dynamical models: model A, which has no conserved quantities, model F, which has a conserved second sound mode and the Gross-Pitaevskii (GP) equation which has a conserved density and magnetization. We find the dynamic critical exponent 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 F yields the value $z \approx 3$, which demonstrates that the only conserved density relevant to domain formation is the magnetization density.
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