标题： 平均场近似下的凝聚体的动理学理论和动态结构因子 显示英文标题

标题： Kinetic theory and dynamic structure factor of a condensate in the random phase approximation

摘要： 我们提出了在广义随机相位近似（GRPA）下均匀稀薄玻色凝聚气体的微观动力学理论，该理论满足以下要求：1）质量、动量和能量守恒定律；2）H定理；3）超流性；4）在零温度下恢复博利佐夫理论\cite{condenson}。 在此方法中，凝聚体影响两个正常原子之间的二体碰撞过程，即它们的相互作用力是通过在整个凝聚体中传播的博利佐夫集体激发来介导的。 此外，只要玻色气体稳定，凝聚原子与正常原子之间就不会发生碰撞。 在本文中，我们展示了GRPA中的动力学理论如何计算有限温度下当正常组分和超流组分相对运动时的动力学结构因子。 该因子的所得谱提供了一个预测，与实验结果相比，可以验证GRPA。 PACS编号：03.75.Hh, 03.75.Kk, 05.30.-d 显示英文摘要

摘要： We present the microscopic kinetic theory of a homogeneous dilute Bose condensed gas in the generalized random phase approximation (GRPA), which satisfies the following requirements: 1) the mass, momentum and energy conservation laws; 2) the H-theorem; 3) the superfluidity property and 4) the recovery of the Bogoliubov theory at zero temperature \cite{condenson}. In this approach, the condensate influences the binary collisional process between the two normal atoms, in the sense that their interaction force results from the mediation of a Bogoliubov collective excitation traveling throughout the condensate. Furthermore, as long as the Bose gas is stable, no collision happens between condensed and normal atoms. In this paper, we show how the kinetic theory in the GRPA allows to calculate the dynamic structure factor at finite temperature and when the normal and superfluid are in a relative motion. The obtained spectrum for this factor provides a prediction which, compared to the experimental results, allows to validate the GRPA. PACS numbers:03.75.Hh, 03.75.Kk, 05.30.-d