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Four-Dimensional Quantum Hall Effect with Ultracold Atoms

Friday, February 19, 2016
4:00 PM - 5:00 PM
Location: East Bridge 114
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.


 

 

Series: IQIM Postdoctoral and Graduate Student Seminar Series
For more information, please phone 626-395-4013 or email marciab@caltech.edu

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