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IQIM Postdoctoral and Graduate Student Seminar

Friday, February 19, 2016
4:00pm to 5:00pm
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East Bridge 114
Four-Dimensional Quantum Hall Effect with Ultracold Atoms
Hannah Price, Marie Skłodowska-Curie fellow, INO-CNR BEC Center, Università di Trento in Italy,

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.



For more information, please contact Marcia Brown by phone at 626-395-4013 or by email at [email protected].