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.115.195303Citazioni: 165dati da “WEB OF SCIENCE” (of Thomson Reuters) aggiornati al: 2024-04-21Riferimenti tratti da Isi Web of Knowledge: (solo abbonati) Link per visualizzare la scheda su IsiWeb: Clicca quiLink per visualizzare la citazioni su IsiWeb: Clicca qui