Synthetic dimensions for cold atoms from shaking a harmonic trap
Authors: Price HM., Ozawa T., Goldman N
Autors Affiliation: Univ Trento, INO CNR BEC Ctr, I-38123 Povo, Italy; Univ Trento, Dipartimento Fis, I-38123 Povo, Italy; Univ Libre Bruxelles, Fac Sci, CENOLI, B-1050 Brussels, Belgium
Abstract: We introduce a simple scheme to implement synthetic dimensions in ultracold atomic gases, which only requires two basic and ubiquitous ingredients: the harmonic trap, which confines the atoms, combined with a periodic shaking. In our approach, standard harmonic oscillator eigenstates are reinterpreted as lattice sites along a synthetic dimension, while the coupling between these lattice sites is controlled by the applied time modulation. The phase of this modulation enters as a complex hopping phase, leading straightforwardly to an artificial magnetic field upon adding a second dimension. We show that this artificial gauge field has important consequences, such as the counterintuitive reduction of average energy under resonant driving, or the realization of quantum Hall physics. Our approach offers significant advantages over previous implementations of synthetic dimensions, providing an intriguing route towards higher-dimensional topological physics and strongly-correlated states.
Journal/Review: PHYSICAL REVIEW A
Volume: 95 (2) Pages from: 023607-1 to: 023607-17
KeyWords: EDGE STATES; TOPOLOGICAL INSULATORS; OPTICAL LATTICES; MAGNETIC-FIELDS; NEUTRAL ATOMS; QUANTUM SIMULATION; ULTRACOLD GASES; REALIZATION; PHOTONICS; FERMIONSDOI: 10.1103/PhysRevA.95.023607Citations: 52data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2021-10-24References taken from IsiWeb of Knowledge: (subscribers only)Connecting to view paper tab on IsiWeb: Click hereConnecting to view citations from IsiWeb: Click here