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Floquet systems - manipulating topology
Add to Calendar 2018-10-11T15:30:00 2018-10-11T16:30:00 UTC Floquet systems - manipulating topology

Physics CAMP

Davey Laboratory (339)
Start DateThu, Oct 11, 2018
11:30 AM
to
End DateThu, Oct 11, 2018
12:30 PM
Presented By
Tami Pereg-Barnea, McGill University

Physics CAMP

Event Series:

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.