等谱电子纳米结构中的量子相位提取
Quantum Phase Extraction in Isospectral Electronic Nanostructures
摘要:
量子相位不是直接可观测的,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具有匹配的电子结构,但不同的物理结构。这些“量子鼓”[Cu(111)表面上由单独定位的CO分子限制的简并二维电子态]的量子测量(扫描隧道显微镜)揭示了等谱性提供了额外的拓扑自由度,使得能够进行稳健的量子态移植和相提取。
英文摘要:
Quantum phase is not a direct 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 possessing matching electronic structure but divergent physical structure. Quantum measurement (scanning tunneling microscopy) of these "quantum drums" [degenerate two-dimensional electron states on the Cu(111) surface confined by individually positioned CO molecules] reveals that isospectrality provides an extra topological degree of freedom enabling robust quantum state transplantation and phase extraction.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。