Four-Dimensional Quantum Hall Effect with Ultracold Atoms

H. M. Price, O. Zilberberg, T. Ozawa, I. Carusotto, N. Goldman

Research output: Contribution to journalArticlepeer-review

155 Citations (Scopus)


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. Our proposal sets the stage for the exploration of novel topological phases in higher dimensions.

Original languageEnglish
Article number195303
JournalPhysical review letters
Issue number19
Publication statusPublished - 2015 Nov 3
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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