标题： 旋转框架中的标量涡旋生成 显示英文标题

标题： Generation of a scalar vortex in a rotational frame

摘要： 我们考虑在刚性旋转参考系中从真空生成一个标量带电场。 添加一个外部磁场为该场的玻色凝聚开辟了道路。 这一现象已被研究，针对占据具有有限半径$R$的均匀旋转圆柱系统整个体积的外部均匀磁场，且在其上施加了狄利克雷边界条件。 除了继续这项研究，我们还考虑由小半径通量管形成的场。 我们找到了带电标量场的吉尔伯特-皮塔耶夫斯基方程的数值解，临界旋转频率、平均半径和凝聚能，并将它们与线性化方案中找到的结果以及近似解析解进行比较。 我们表明，在相同的输入参数下，通量管情况下的凝聚能低于整个圆柱体中均匀磁场情况下的凝聚能。 显示英文摘要

摘要： We consider generation from the vacuum of a scalar charged field in a rigidly rotating frame. Adding an external magnetic field opens the way to Bose condensation of the field. This phenomenon has been studied for external uniform magnetic field occupying the whole volume of the uniformly rotating cylindrical system of finite radius $R$ with a Dirichlet boundary condition imposed on it. Besides continuing this study, we consider the field formed by a flux tube of small radius. We find numerical solutions of the Ginzburg-Pitaevskii equation for the charged scalar field, the critical rotation frequencies, the mean radii and the condensate energies, and compare them with those found in a linearization scheme and with approximate analytical solutions. We show that for the same input parameters the energy of the condensate in the case of the flux tube is lower than in the case of uniform magnetic field in the whole cylinder.