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Tuesday, May 12th 2015

4:30 pm:

In a static topological system the Chern number is equal to the number of chiral edge modes. However, in a periodically driven system there may be chiral edge modes present even in the case of trivial Chern number for all bands. In this talk I will use a toy model and Floquet theory to demonstrate this possibility, even if the Floquet operator is trivial i.e. the bulk ground state doesn't change under one period of evolution. Then I will show the derivation of a generalization to the Chern number that gives the number of edge states in a periodically driven topological system. In the end I will discuss the effects on a more realistic system with weak driving, as it may be realized in cold atom gases.

Reference:

Mark Rudner, Netanel Lindner, Erez Berg, and Michael Levin: PRX 3, 031005 (2013)

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