Scientific Results

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.115.195303

Citations: 122
data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2021-10-17
References taken from IsiWeb of Knowledge: (subscribers only)
Connecting to view paper tab on IsiWeb: Click here
Connecting to view citations from IsiWeb: Click here

gdpr-image
This site uses cookies. If you decide to continue browsing we consider that you accept their use. For more information about cookies and how to delete them please read our Info Policy on cookies use.
Read more