QM2 - Quantum Matter and Materials | December 20, 12:30
Topologically protected braiding in a single wire using Floquet Majorana modes
Floquet systems offer a versatile toolbox for engineering quantum phases
that are not allowed or at least more difficult to obtain in equilibrium
systems. A prominent example are time crystals, which spontaneously
break discrete time-translation symmetry. Closely related to time
crystals are Floquet topological phases, such as those found in the
driven Kitaev chain. I will discuss how to perform braiding of
non-Abelian degrees of freedom - the elementary operation of topological
quantum computation - in such a driven topological superconductor.
Unlike the equilibrium case, where braiding can only be performed in
two-dimensional systems (or at least 2d networks of 1d systems),
braiding here is realized in a strictly one-dimensional system, thus
potentially simplifying experimental demonstration.
Microsoft Research / Station Q
Seminar Room of the Institute of Physics II
Contact: Simon Trebst