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CAMP: Floquet systems - manipulating topology

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Tami Pereg-Barnea, McGill University
16 October 2018 from 3:30 PM to 4:30 PM
339 Davey Laboratory
Contact Name
Mikael Rechtsman
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Floquet theory helps us find steady state solutions to the time dependent Schrodinger equation when the Hamiltonian is periodic in time.  By defining the quasi energy spectrum and quasi energy states one can identify topological features like edge modes and topological invariants.  In some cases, a system which is non-topological in equilibrium becomes topological when a time-periodic perturbation is applied.  
In this talk we'll take a close look at these non-equilibrium topological states which are induced by the periodic perturbation and characterize their response functions.  We find that the splitting into side bands can be seen in transport and suppress the ability to carry current.  Moreover, we show how one can use time modulation to create Majorana fermions in ends of wires and even to perform braiding in a quasi one dimensional system.