量子反射：看不见的量子屏障
Quantum reflection: The invisible quantum barrier
摘要：
我们利用已有的数据构造了一个代表量子反射现象的不可见量子势垒。我们使用阿贝尔方程来反演数据。由此产生的不可见量子势垒在两个轴上都是双值的。我们研究了原子和玻色-爱因斯坦凝聚体在固体硅表面反射的情况。一个时间相关的，一个空间维Gross-Pitaevskii方程求解BEC的情况下。我们发现，BEC的行为非常相似的单原子，除了尺寸效应，这表现在一个最大的反射率在小距离的墙壁。原子-原子相互作用对BEC反射和相应的不可见势垒的影响被发现是可观的，在低速和有限尺寸效应。讨论了超冷原子或玻色-爱因斯坦凝聚在两壁之间的囚禁问题。
英文摘要：
We construct the invisible quantum barrier which represents the phenomenon of quantum reflection using the available data. We use the Abel equation to invert the data. The resulting invisible quantum barrier is double-valued in both axes. We study this invisible barrier in the case of atom and Bose-Einstein Condensate reflection from a solid silicon surface. A time-dependent, one-spatial dimension Gross-Pitaevskii equation is solved for the BEC case. We found that the BEC behaves very similarly to the single atom except for size effects, which manifest themselves in a maximum in the reflectivity at small distances from the wall. The effect of the atom-atom interaction on the BEC reflection and correspondingly on the invisible barrier is found to be appreciable at low velocities and comparable to the finite size effect. The trapping of ultracold atom or BEC between two walls is discussed.
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