Towards four-dimensional photonics
Authors: Price HM., Ozawa T., Goldman N., Zilberberg O., Carusotto I.
Autors Affiliation: Univ Trento, INO CNR BEC Ctr, I-38123 Povo, Italy; Univ Trento, Dipartimento Fis, I-38123 Povo, Italy; ULB, Fac Sci, CENOLI, B-1050 Brussels, Belgium; Swiss Fed Inst Technol, Inst Theoret Phys, CH-8093 Zurich, Switzerland
Abstract: Recent advances in silicon ring-resonator arrays have stimulated the development of topological lattices for photons, with potential applications in integrated photonic devices. Taking inspiration from ultracold atoms, we propose how such arrays can be extended into an additional synthetic dimension by coupling together the different modes of each ring resonator.(1) In this way, a 1D resonator chain can become an effective 2D system, while a 3D resonator array can be exploited as a 4D photonic lattice. As an example of the power of this approach, we discuss how to experimentally realise an optical analogue of the 4D quantum Hall effect for the first time. This opens up the way towards the exploration of higher-dimensional lattices in integrated photonics.
KeyWords: synthetic dimensions; quantum Hall effect; topological physics; synthetic gauge fields; coupled ring resonators; higher-dimensional photonic lattices