Quantum Phase Extraction in Isospectral Electronic Nanostructures

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dc.creatorMoon, Christopher R.
dc.creatorMattos, Laila S.
dc.creatorFoster, Brian K.
dc.creatorZeltzer, Gabriel
dc.creatorKo, Wonhee
dc.creatorManoharan, Hari C.
dc.date2008-03-16
dc.date.accessioned2026-07-07T09:27:17Z
dc.date.available2026-07-07T09:27:17Z
dc.descriptionQuantum 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.
dc.descriptionPublished 8 February 2008 in Science; 13 page manuscript (including 4 figures) + 13 page supplement (including 6 figures); supplementary movies available at http://mota.stanford.edu
dc.identifierhttps://arxiv.org/abs/0803.2328
dc.identifierhttp://arxiv.org/abs/0803.2328
dc.identifierScience 319, 782-787 (2008)
dc.identifierdoi:10.1126/science.1151490
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/157045
dc.subjectMesoscale and Nanoscale Physics
dc.subjectMaterials Science
dc.subjectQuantum Physics
dc.titleQuantum Phase Extraction in Isospectral Electronic Nanostructures
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