Synthetic dimensions in integrated photonics: From optical isolation to four-dimensional quantum Hall physics

Year: 2016

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

Autors Affiliation: Univ Trent, INO CNR BEC Ctr, I-38123 Povo, Italy; Univ Trent, Dipartimento Fis, I-38123 Povo, Italy; Univ Libre Bruxelles ULB, Fac Sci, CENOLI, B-1050 Brussels, Belgium; ETH, Inst Theoret Phys, CH-8093 Zurich, Switzerland.

Abstract: Recent technological advances in integrated photonics have spurred on the study of topological phenomena in engineered bosonic systems. Indeed, the controllability of silicon ring-resonator arrays has opened up new perspectives for building lattices for photons with topologically nontrivial bands and integrating them into photonic devices for practical applications. Here, we push these developments even further by exploiting the different modes of a silicon ring resonator as an extra dimension for photons. Tunneling along this synthetic dimension is implemented via an external time-dependent modulation that allows for the generation of engineered gauge fields. We show how this approach can be used to generate a variety of exciting topological phenomena in integrated photonics, ranging from a topologically-robust optical isolator in a spatially one-dimensional (1D) ring-resonator chain to a driven-dissipative analog of the 4D quantum Hall effect in a spatially 3D resonator lattice. Our proposal paves the way towards the use of topological effects in the design of novel photonic lattices supporting many frequency channels and displaying higher connectivities.

Journal/Review: PHYSICAL REVIEW A

Volume: 93 (4)      Pages from: 43827-1  to: 43827-17

More Information: We are grateful to R. Fazio, G. C. La Rocca, M. Ghulinyan, and the members of L. Pavesi’s nanolab at University of Trento for continuous exchanges. T.O., H.M.P., and I.C. are supported by the ERC through the QGBE grant, by the EU-FET Proactive grant AQuS, Project No. 640800, and by the Autonomous Province of Trento, partially through the project On silicon chip quantum optics for quantum computing and secure communications (SiQuro). H.M.P was also supported by the EC through the H2020 Marie Sklodowska-Curie Action, Individual Fell owship Grant No. 656093 SynOptic. N.G. is financed by the FRS-FNRS Belgium and by the BSPO under PAI Project No. P7/18DYGEST. O.Z. acknowledges the Swiss National Foundation for financial support.
KeyWords: Edge States; Generation; Phase
DOI: 10.1103/PhysRevA.93.043827

Citations: 257
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