标题： 冷原子玻色子在非零温度下量子涨落影响下的两流体流体力学 显示英文标题

标题： Two-fluid hydrodynamics of cold atomic bosons under influence of the quantum fluctuations at non-zero temperatures

摘要： 超冷玻色原子是量子和非线性现象起关键作用的物理系统。 超冷玻色子在小的有限温度下被考虑。 玻色子被视为两种不同的流体： 玻色-爱因斯坦凝聚态和正常流体（热成分）。 为这两种流体得到了扩展的流体力学模型，其中考虑了压力演化方程和压力通量三阶张量演化方程，以及连续性和欧拉方程。 发现压力演化方程包含短程相互作用的零贡献。 压力通量演化方程包含在零温极限下给出量子涨落的相互作用。 在这里，我们获得了其在有限温度下的推广。 发现压力通量演化方程中在零温极限下趋于零的相互作用贡献。 该模型通过从坐标表象中的微观多粒子薛定谔方程直接推导得到。 显示英文摘要

摘要： Ultracold Bose atoms is the physical system, where the quantum and nonlinear phenomena play crucial role. Ultracold bosons are considered at the small finite temperatures. Bosons are considered as two different fluids: Bose-Einstein condensate and normal fluid (the thermal component). An extended hydrodynamic model is obtained for both fluids, where the pressure evolution equations and the pressure flux third rank tensor evolution equations are considered along with the continuity and Euler equations. It is found that the pressure evolution equation contains zero contribution of the short-range interaction. The pressure flux evolution equation contains the interaction which gives the quantum fluctuations in the zero temperature limit. Here, we obtain its generalization for the finite temperature. The contribution of interaction in the pressure flux evolution equation which goes to zero in the zero temperature limit is found. The model is obtained via the straightforward derivation from the microscopic many-particle Schrodinger equation in the coordinate representation.