任意强随机势中的玻色-爱因斯坦凝聚气体
Bose-Einstein-condensed gases in arbitrarily strong random potentials
摘要：
在随机自洽平均场方法的框架下，研究了外部空间随机势中的玻色-爱因斯坦凝聚气体。这种方法允许治疗的相互作用强度的整个范围内，从零到无穷大，以及为任意强的无序的系统属性。除了冷凝物和超流密度之外，由于冷凝物的空间不均匀成分而产生玻璃态数密度。对于非常弱相互作用和足够强的无序，超流部分可以变得小于凝聚分数，而在相对强相互作用，超流部分大于凝聚分数的任何强度的无序。冷凝物和超流部分，以及玻璃部分总是共存，一起是非零或零。在无序的存在下，凝聚分数成为相互作用强度的非单调函数，显示由原子相互作用的稳定作用和无序的不稳定作用之间的竞争引起的反耗尽效应。随着无序度的增加，在无序度参数的临界值处，冷凝物和超流分数通过一阶相变跳到零。
英文摘要：
Bose-Einstein-condensed gases in external spatially random potentials are considered in the frame of a stochastic self-consistent mean-field approach. This method permits the treatment of the system properties for the whole range of the interaction strength, from zero to infinity, as well as for arbitrarily strong disorder. Besides a condensate and superfluid density, a glassy number density due to a spatially inhomogeneous component of the condensate occurs. For very weak interactions and sufficiently strong disorder, the superfluid fraction can become smaller than the condensate fraction, while at relatively strong interactions, the superfluid fraction is larger than the condensate fraction for any strength of disorder. The condensate and superfluid fractions, and the glassy fraction always coexist, being together either nonzero or zero. In the presence of disorder, the condensate fraction becomes a nonmonotonic function of the interaction strength, displaying an antidepletion effect caused by the competition between the stabilizing role of the atomic interaction and the destabilizing role of the disorder. With increasing disorder, the condensate and superfluid fractions jump to zero at a critical value of the disorder parameter by a first-order phase transition.
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