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Published January 1, 2016 | Published + Supplemental Material + Submitted
Journal Article Open

Chiral Bogoliubov excitations in nonlinear bosonic systems

Abstract

We present a versatile scheme for creating topological Bogoliubov excitations in weakly interacting bosonic systems. Our proposal relies on a background stationary field that consists of a Kagome vortex lattice, which breaks time-reversal symmetry and induces a periodic potential for Bogoliubov excitations. In analogy to the Haldane model, no external magnetic field or net flux is required. We construct a generic model based on the two-dimensional (2D) nonlinear Schrödinger equation and demonstrate the emergence of topological gaps crossed by chiral Bogoliubov edge modes. Our scheme can be realized in a wide variety of physical systems ranging from nonlinear optical systems to exciton-polariton condensates.

Additional Information

© 2016 American Physical Society. Received 6 April 2015; revised manuscript received 29 September 2015; published 5 January 2016. T.L. thanks Y. Chong and B. Zhang for encouraging discussions. This work was funded by the Institute for Quantum Information and Matter, an NSF Physics Frontiers Center with the support of the Gordon and Betty Moore Foundation (Grant No. GBMF1250). G.R. acknowledges support from NSF Grant No. DMR-1410435. Financial support from the Swiss National Science Foundation (SNSF) is also gratefully acknowledged.

Attached Files

Published - PhysRevB.93.020502.pdf

Submitted - 1503.08824v1.pdf

Supplemental Material - supp_mat.pdf

Supplemental Material - svideo.mpg

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