论文标题
具有有限正方形的量子护城河屏障
A quantum moat barrier, realized with a finite square well
论文作者
论文摘要
双井潜力的概念通常涉及两个被排斥潜在屏障分隔的空间区域。该解决方案是在屏障区域抑制并位于周围两个区域中的波浪函数。值得注意的是，我们说明可以使用有吸引力的“屏障”电位（量子护城河）而不是排斥的（一个“量子壁”）来实现类似的解决方案。该作品与“正交平面波”的概念和伪能力方法密切相关的原因，这些方法最初用于理解固体中的电子带结构。尽管这项工作的主要目标是使用一个简单的模型来证明量子护城河的类似屏障样属性，但我们还展示了如何使用伪能力方法来大大提高使用矩阵对角色化为该系统构建波浪函数的效率。
The notion of a double well potential typically involves two regions of space separated by a repulsive potential barrier. The solution is a wave function that is suppressed in the barrier region and localized in the two surrounding regions. Remarkably, we illustrate that similar solutions can be achieved using an attractive "barrier" potential (a "quantum moat") instead of a repulsive one (a "quantum wall"). The reason this works is intimately connected to the concepts of "orthogonalized plane waves" and the pseudopotential method, both originally used to understand electronic band structures in solids. While the main goal of this work is to use a simple model to demonstrate the barrier-like attribute of a quantum moat, we also show how the pseudopotential method is used to greatly improve the efficiency of constructing wave functions for this system using matrix diagonalization.
