Chiral Bogoliubov excitations in nonlinear bosonic systems

• Main Authors: Bardyn, Charles-Edouard, Karzig, Torsten, Refael, Gil, Liew, Timothy Chi Hin
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2017
• Subjects: Optomechanics; Bosons
• Online Access: https://hdl.handle.net/10356/85837; http://hdl.handle.net/10220/43876
• Institution: Nanyang Technological University

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 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.