Interest continues to grow in bosonic versions of topological electronic phases realized using photonic or phononic degrees of freedom. These systems are typically non-interacting, and have the same band structure and edge state structure as their fermionic counterparts. In this talk, I’ll discuss recent theory work in my group on a class of bosonic systems where this correspondence fails, and the bosonic system exhibits unique topological properties. They involve using parametric “two-photon” driving, and have Hamiltonians that superficially resemble those of topological superconductors. Among the surprising effects that emerge are the presence of topologically-protected instabilities that can be harnessed for non-reciprocal quantum amplification, and effective non-Hermitian dynamics in a bosonic analogue of the Kitaev-Majorana chain. I’ll discuss how these ideas could be realized in a variety of different experimental platforms.
About the speaker
Professor Aashish Clerk's research focuses on theoretical quantum condensed matter physics & quantum optics, engineered quantum systems, quantum information physics. His group is broadly interested in developing a theoretical understanding of phenomena in driven-dissipative quantum systems, with a particular focus on superconducting quantum circuits, quantum optomechanical systems, and quantum electronic transport.