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Aubry duality for unitary operators with applications to quantum walks
May 23, 2022 (Monday), 3:30 pm – 4:30 pm Teams
Darren Ong Chung Lee
Professor
Xiamen University Malaysia
Research interests: In spectral theory and mathematical physics
Speaker Introduction
Prof. Darren Ong Chung Lee received his PhD in Mathematics from Rice University in the United States. His research interests are in spectral theory and Mathematical Physics.
Abstract
Aubry Duality refers to a symmetry of some Schrodinger operators whereby a Fourier transform of an eigensolution of the operator is itself an eigensolution. In this talk we observe a form of Aubry Duality in some unitary operators connected to quantum walks. This talk is based on joint work with Chris Cedzich, Jake Fillman and Zhenghe Zhang.