%0 Journal Article
%T Four-Dimensional Quantum Hall Effect with Ultracold Atoms
%A Hannah M. Price
%A Oded Zilberberg
%A Tomoki Ozawa
%A Iacopo Carusotto
%A Nathan Goldman
%J Physics
%D 2015
%I arXiv
%R 10.1103/PhysRevLett.115.195303
%X 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.
%U http://arxiv.org/abs/1505.04387v2