"Floquet-engineering topological Dirac bands in an optical lattice"

Ian Spielman , NIST and The University of Maryland
[Host: Prof. Dima Pesin]

Over the years my group has performed a number of experiments realizing relativistic physics using cold atoms — described by the 1D Dirac Hamiltonian in some degree of approximation.  I will begin by reviewing these results in conjunction with those from the whole of the cold-atom community.

With that backdrop, I describe a spin dependent bipartite Floquet lattice, in which the dispersion relation is linear for all points in the Brillouin zone. The (stroboscopic) Floquet spectrum of our periodically-driven Hamiltonian features perfect spin-momentum locking, and a linear Dirac dispersion.  These bands are protected by a Floquet topological invariant which we directly measure by using quantum state tomography.

Friday, December 3, 2021
3:30 PM
Physics Building, Room 204
Note special room.

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