Abstract:
 
Scientists have always dealt with higher-dimensional wonderlands. The contemporary field of topological condensed matter similarly deals with systems of arbitrary dimensions. With modern technology, synthetic dimensions can nowadays be quantum engineered in the lab. Thus, for the first time, we could proposed and realize signatures of high-dimensional Hall effects in experiments.

In my talk, I will introduce the close relationship between the 2D quantum Hall effect and 1D topological pumps, where the pump parameters acts as a synthetic dimension. I will, then, present experimental realizations of topological pumps using two completely different bosonic systems, namely, using coupled photonic waveguide arrays and with trapped atoms in optical superlattices. In the second part of my talk, I will present how this naturally leads to the realization of the 4D and 6D quantum Hall effects, using correspondingly 2D and 3D topological pumps.
Last, I will detail that the connection between topological pumps and higher-dimensional quantum Hall models offers a natural interpretation for high-order topological insulators.


Please register at: https://zoom.us/meeting/register/tJEufuqhrzMpE928Jn8ylj2EnACS0uPmTyB1
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