Grad Student/Postdoc Seminar

Date:  Mikael Rechtsman, CIMS

Experiments on gaps in spectral graphs and why glass is see-through

  The spectrum of Schrodinger operators with a periodic potential term is known to have gaps. Less well-known is the fact that spectral gaps can persist when the potential is random. I will discuss experimental results on a disordered optical system that is governed by the time-dependent Schrodinger equation, and show how the spectral gaps manifest themselves in terms of localized states. I'll show that in a certain limit, the problem maps onto finding the spectra of random graphs.

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