论文标题
半经典近似和临界温度变化，用于弱相互作用的捕获玻色子
Semiclassical approximation and critical temperature shift for weakly interacting trapped bosons
论文作者
论文摘要
我们考虑了在正温度下以半经典平均场限制组合的n个陷阱玻色子系统。我们表明，自由能与Hartree自由能函数的最低限度相比，这是Hartree Energy功能的自然扩展到正温度。 Hartree自由能函数在同一限制中收敛到半经典的自由能函数，我们显示系统在且仅当它发生在半经典自由能函数中时显示Bose-Einstein凝结。这使我们可以证明，对于弱耦合，由于排斥相互作用，临界温度降低。
We consider a system of N trapped bosons with repulsive interactions in a combined semiclassical mean-field limit at positive temperature. We show that the free energy is well approximated by the minimum of the Hartree free energy functional - a natural extension of the Hartree energy functional to positive temperatures. The Hartree free energy functional converges in the same limit to a semiclassical free energy functional, and we show that the system displays Bose-Einstein condensation if and only if it occurs in the semiclassical free energy functional. This allows us to show that for weak coupling the critical temperature decreases due to the repulsive interactions.
