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DTSTART:20220131T160000Z
DTEND:20220131T170000Z
SUMMARY:Colloquium - Amir Sagiv
DESCRIPTION:

** Title: **Floquet Hamiltonians and topological insulators

**Abstract: **Floquet topological insulators (FTIs) are an emerging category of materials whose properties are transformed by time-periodic forcing\, with a wide range of applications to electronics\, laser science\, and more. Traditionally\, the theory of FTIs is based on discrete\, approximated models. Can FTIs be understood from their first-principles continuum models\, i.e.\, from a driven Schrodinger equation? First\, we rigorously show that the propagation of physically relevant wave-packets are governed by a Dirac equation. This dynamical-systems approach allows us to study both the bulk and edge insulation of FTIs. In particular\, we show that in the continuous Dirac model\, localized edge-modes decay due to a resonance phenomenon.
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