Anomalous and Quantum Hall Effects in Lossy Photonic Lattices

Year: 2014

Authors: Ozawa T., Carusotto I.

Autors Affiliation: INO-CNR BEC Center and Dipartimento di Fisica, Università di Trento, I-38123 Povo, Italy

Abstract: We theoretically discuss analogues of the anomalous and the integer quantum Hall effect in driven-dissipative two-dimensional photonic lattices in the presence of a synthetic gauge field. Photons are coherently injected by a spatially localized pump, and the transverse shift of the in-plane light distribution under the effect of an additional uniform force is considered. Depending on pumping parameters, the transverse shift turns out to be proportional either to the global Chern number (integer quantum Hall effect) or to the local Berry curvature (anomalous Hall effect). This suggests a viable route to experimentally measure these quantities in photonic lattices.

Journal/Review: PHYSICAL REVIEW LETTERS

Volume: 112 (13)      Pages from: 133902-1  to: 133902-5

More Information: We are grateful to A. Amo for continuous exchanges on photonic honeycomb lattices and to M. Hafezi, M. Rechtsman, Y. Plotnik, and R. O. Umucalilar for discussions on topological photonic systems. These scientific exchanges were supported by the POLATOM ESF network. This work was partially funded by ERC through the QGBE grant and by Provincia Autonoma di Trento.
KeyWords: Topological Insulators; Magnetic-field; Electronic-properties; Berry Phase; Edge States; Polaritons
DOI: 10.1103/PhysRevLett.112.133902

Citations: 78
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