Four-Dimensional Quantum Hall Effect with Ultracold Atoms
Year: 2015
Authors: Price HM., Zilberberg O., Ozawa T., Carusotto I., Goldman N.,
Autors Affiliation: Univ Trento, INO CNR BEC Ctr, I-38123 Povo, Italy; Univ Trento, Dipartimento Fis, I-38123 Povo, Italy; ETH, Inst Theoret Phys, CH-8093 Zurich, Switzerland; Univ Libre Bruxelles, Fac Sci, CENOLI, B-1050 Brussels, Belgium
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. Our proposal sets the stage for the exploration of novel topological phases in higher dimensions
Journal/Review: PHYSICAL REVIEW LETTERS
Volume: 115 (19) Pages from: 195303-1 to: 195303-6
KeyWords: MAGNETIC BLOCH BANDS; BERRY PHASE; GAUGE-FIELDS; THERMODYNAMIC DERIVATION; TOPOLOGICAL INSULATORS; SEMICLASSICAL DYNAMICS; HOFSTADTER SPECTRUM; EDGE STATES; FERMIONS; HYPERORBITS DOI: 10.1103/PhysRevLett.115.195303Citations: 167data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2024-04-28References taken from IsiWeb of Knowledge: (subscribers only)Connecting to view paper tab on IsiWeb: Click hereConnecting to view citations from IsiWeb: Click here