IQIM Postdoctoral and Graduate Student Seminar

Friday February 19, 2016 4:00 PM

Four-Dimensional Quantum Hall Effect with Ultracold Atoms

Speaker: Hannah Price, INO-CNR BEC Center, Università di Trento in Italy
Location: East Bridge 114

Abstract: We propose a realistic scheme to detect the 4D quantum Hall effect using ultracold atoms. Based on contemporary technology, motion along a synthetic fourth dimension can be accomplished through controlled transitions between internal states of atoms arranged in a 3D optical lattice. From a semiclassical analysis, we identify the linear and nonlinear quantized current responses of our 4D model, relating these to the topology of the Bloch bands. We then propose experimental protocols, based on current or center-of-mass-drift measurements, to extract the topological second Chern number. Finally, we also introduce how to include synthetic dimensions in integrated photonics, where such ideas can be used to create higher-dimensional photonic lattices.



Series IQIM Postdoctoral and Graduate Student Seminar Series

Contact: Marcia Brown at 626-395-4013