Four-Dimensional Quantum Hall Effect with Ultracold Atoms

Anno: 2015

Autori: Price HM., Zilberberg O., Ozawa T., Carusotto I., Goldman N.,

Affiliazione autori: 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

Giornale/Rivista: PHYSICAL REVIEW LETTERS

Volume: 115 (19)      Da Pagina: 195303-1  A: 195303-6

Parole chiavi: 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

Citazioni: 176
dati da “WEB OF SCIENCE” (of Thomson Reuters) aggiornati al: 2024-06-16
Riferimenti tratti da Isi Web of Knowledge: (solo abbonati)
Link per visualizzare la scheda su IsiWeb: Clicca qui
Link per visualizzare la citazioni su IsiWeb: Clicca qui