Realizing high-dimensional topology using systems with synthetic dimensions

Oded Zilberberg
ETH Zurich, Switzerland

Since the epoch of general relativity, scientists have dealt with higher-dimensional wonderlands. The contemporary field of topological condensed matter similarly deals with systems of arbitrary dimensions. Nowadays synthetic dimensions can be quantum engineered in the lab. For the first time, we have thus proposed and realized physics of the 4D Hall effect in experiments. In my talk, I will introduce the unique physics of high-dimensional topological systems, and discuss a comprehensive framework where such effects manifest either using time-dependent modulations or long-ranged order.