Quantum phase extraction in isospectral electronic nanostructures
Quantum phase extraction in isospectral electronic nanostructures
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DOI：
10.1126/science.1151490
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发表时间：
2008-02-08
期刊：
影响因子：
56.9
通讯作者：
Manoharan, Hari C.
中科院分区：
文献类型：
--
作者：
Moon, Christopher R.;Mattos, Laila S.;Manoharan, Hari C.
量子相位是不可直接观测的，通常通过干涉方法来确定。我们提出了一种方法来映射完整的电子波函数，包括内部量子相位信息，从测量的单态概率密度。我们利用数学发现的鼓状流形轴承不同的形状，但相同的共振，并构建量子等谱纳米结构与匹配的电子结构，但不同的物理结构。量子测量（扫描隧道显微镜）的这些“量子鼓”退化的二维电子状态的铜（111）表面上的单独定位的一氧化碳分子的限制，揭示了等谱提供了一个额外的拓扑自由度，使强大的量子态移植和相位提取。
Quantum phase is not directly observable and is usually determined by interferometric methods. We present a method to map complete electron wave functions, including internal quantum phase information, from measured single-state probability densities. We harness the mathematical discovery of drum-like manifolds bearing different shapes but identical resonances, and construct quantum isospectral nanostructures with matching electronic structure but divergent physical structure. Quantum measurement (scanning tunneling microscopy) of these "quantum drums" degenerate two-dimensional electron states on the copper(111) surface confined by individually positioned carbon monoxide molecules-reveals that isospectrality provides an extra topological degree of freedom enabling robust quantum state transplantation and phase extraction.