|Feb. 27, 2019, 15:00 - 16:30|
|KIT, Campus Nord|
Institute of Nanotechnology
Bldg. 640 Seminar Room 0-167
Talk given by
Prof. Dr. Oded Zilberberg
Quantum Engineered Systems
In my talk, I will introduce the close relationship between the 2D quantum Hall effect and 1D topological pumps. I will, then, present our recent 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 detail the connection between quasicrystals and topological pumps. In this context, we have found that quasicrystals inherit topological attributes from their corresponding pumps, i.e., quasicrystals are characterized with topological indices from dimensions higher than their own. I will discuss several 1D quasiperiodic models with nontrivial 1st Chern numbers and topological boundary states, which are inherited from their corresponding topological pumps. Last, I will present how this naturally leads to realizing the 4D and 6D quantum Hall effects, and correspondingly 2D and 3D topological pumps in the lab. Both the 4D topological bulk response and its associated boundary phenomena were realized recently using trapped atoms in optical superlattices and photonic waveguide arrays, respectively. The connection between topological pumps and higer-dimensional quantum Hall models offers a natural interpretation for high-order topological insulators.
An illustration of two experimental realizations of a 2D topological pump, which is a dynamical realization of the 4D quantum Hall effect. Top: a 2D array of coupled photonic waveguides where the topological boundary phenomena is studied. Bottom: trapped cold atoms in a 2D optical lattice. Center: A tesseract demonstrating a 2D projection of a 4D hypercube.
|This event is part of the eventgroup INT Talks|
Prof. Oded Zilberberg
Dr. Igor Gornyi
Institute of Nanotechnology (INT)
Karlsruhe Institute of Technology (KIT)
Mail:igor gornyi∂kit edu