论文标题
模拟鹰效应：BEC和表面波
Analogue Hawking Effect: BEC and Surface Waves
论文作者
论文摘要
我们考虑了另外两个物理模型，这些模型在模拟引力的框架中起着最重要的重要性。我们首先考虑Bose-Einstein冷凝物（BEC），然后考虑水中的表面重力波。我们的方法是基于我们在先前工作中介绍的主方程的使用。对所涉及的奇异扰动问题进行了更完整的分析，特别是指（实际）转弯点附近的行为及其与WKB近似的联系，使我们能够验证粒子生产过程的热特征。此外，在BEC和表面波的情况下，我们可以提供一个简单的方案，以明确计算灰体因素。这证实了我们提出的改进方法，用于研究小型分散效应的通常限制的模拟鹰效应。
We take into account two further physical models which play an utmost importance in the framework of Analogue Gravity. We first consider Bose--Einstein condensates (BEC) and then surface gravity waves in water. Our approach is based on the use of the master equation we introduced in a previous work. A more complete analysis of the singular perturbation problem involved, with particular reference to the behavior in the neighbourhood of the (real) turning point and its connection with the WKB approximation, allows us to verify the thermal character of the particle production process. Furthermore, we can provide a simple scheme apt to calculate explicitly the greybody factors in the case of BEC and surface waves. This corroborates the improved approach we proposed for studying the analogue Hawking effect in the usual limit of small dispersive effects.
