论文标题
托马斯 - 弗米近似中的雪茄形玻色液体中的声音繁殖：毛皮大型模型和对数模型之间的比较研究
Sound propagation in cigar-shaped Bose liquids in the Thomas-Fermi approximation: A comparative study between Gross-Pitaevskii and logarithmic models
论文作者
论文摘要
通过Thomas-Fermi的近似，对毛刺液体和Bose-Einstein冷凝物的延伸脉冲和Bose-Einstein冷凝物的传播进行了比较研究。结果表明，在线性状态下，在两个模型中，在垂直于液体肿块横截面的方向上，小密度波动的传播本质上都是一维的。在这些近似值下，表明声音尺度是粒子密度的平方根，在毛皮液体/冷凝物的情况下，在均匀的对数液体的情况下，声音尺度是粒子密度的平方根。
A comparative study is done of the propagation of sound pulses in elongated Bose liquids and Bose-Einstein condensates in Gross-Pitaevskii and logarithmic models, by means of the Thomas-Fermi approximation. It is shown that in the linear regime the propagation of small density fluctuations is essentially one-dimensional in both models, in the direction perpendicular to the cross section of a liquid's lump. Under these approximations, it is shown that the speed of sound scales as a square root of particle density in the case of the Gross-Pitaevskii liquid/condensate, but it is constant in a case of the homogeneous logarithmic liquid.
