(MA1) In this Major Activity we have two wide-ranging thrusts joining experiment-theory efforts to exploit the breadth of JQI. They combine atomic (neutral atoms and ions) and solid (hybrid semiconductor/superconductor devices and materials with ultra-strong spin-orbit coupling) systems, which are all candidate platforms for realizing new types of matter. Topological degrees of freedom in quantum systems are intrinsic many-body features that have remarkable properties such as extreme decoupling from environmental influences and robust quantum evolution even in the face of external noise. MA1 aims to develop a more complete understanding of the phases of topological matter, integrating AMO and CM approaches in both theory and experiment.

We attempt to (1) experimentally realize and theoretically understand the localized Majorana end-modes of 1D topological ordered systems; and (2) we will theoretically study topological systems that fall outside of the current classification scheme of noninteracting topological insulators, by including strong interactions or working with systems far from equilibrium.