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Four-Dimensional Quantum Hall Effect with Ultracold Atoms

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If you have a question about this talk, please contact Gareth Conduit .

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 is accomplished through controlled transitions between internal states of atoms arranged in a 3D optical lattice. From a semi-classical analysis, we identify the linear and non-linear 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 2nd Chern number. Our proposal sets the stage for the exploration of novel topological phases in higher dimensions.

This talk is part of the Theory of Condensed Matter series.

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Room LG 18, Faculty of Law, 10 West Road, Cambridge FW11, William Gates Building. Zoom link: https://cl-cam-ac-uk.zoom.us/j/4361570789?pwd=Nkl2T3ZLaTZwRm05bzRTOUUxY3Q4QT09&from=addon Lecture Room 0, Department of Engineering, Trumpington Street, Cambridge CB2 1PZ

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