Quantum Tunneling on Graphs
Quantum Tunneling on Graphs
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DOI：
10.1007/s00220-012-1453-8
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发表时间：
2011-01
影响因子：
2.4
通讯作者：
Yong Lin;Gábor Lippner;S. Yau
中科院分区：
文献类型：
--
作者：
Yong Lin;Gábor Lippner;S. Yau
本文研究了有限图上具有两个或三个威尔斯势阱的渐近大势场中量子粒子的隧穿行为。粒子的行为主要受威尔斯周围图形的局部谱对称性支配。在两个威尔斯井的情况下，在可以从威尔斯井的足够大的邻域预测的意义上，行为是稳定的。然而，在三个威尔斯井的情况下，我们能够展示的例子中，隧道行为可以显着改变扰动图任意远离威尔斯。
We explore the tunneling behavior of a quantum particle on a finite graph in the presence of an asymptotically large potential with two or three potential wells. The behavior of the particle is primarily governed by the local spectral symmetry of the graph around the wells. In the case of two wells the behavior is stable in the sense that it can be predicted from a sufficiently large neighborhood of the wells. However in the case of three wells we are able to exhibit examples where the tunneling behavior can be changed significantly by perturbing the graph arbitrarily far from the wells.