Curved-space topological phases in photonic lattices

Eran Lustig, Moshe Ishay Cohen, Rivka Bekenstein, Gal Harari, Miguel A. Bandres, Mordechai Segev

Research output: Contribution to journalArticlepeer-review

25 Scopus citations

Abstract

We introduce topological phases in curved-space photonic lattices. In such systems, the interplay between the curvature of space and the topology of the system, as manifested in the topology of the band structure, gives rise to a wealth of new phenomena. We demonstrate the topological curved-space concepts in an experimentally realizable setting of a waveguiding layer covering the surface of a three-dimensional body, and show that the curvature of space can induce topological edge states, topological phase transitions, Thouless pumping, and localization effects. We also describe the analogy between our system and topological phases in dynamical curved space-time settings known from general relativity.

Original languageAmerican English
Article number041804
JournalPhysical Review A
Volume96
Issue number4
DOIs
StatePublished - 26 Oct 2017
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2017 American Physical Society.

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