Topological Order in Silicon Photonics
Technical Report,15 Sep 2014,15 Sep 2016
University Of Maryland College Park United States
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Topological features - global properties which are not discernible locally - have attracted tremendous research attention in many fields of physics, ranging from condensed matter to ultra cold gases. Recently, photonic systems have been under investigation to explore various types of topological orders and to potentially develop robust optical devices. In this project, we investigated various aspects of topological states by analyzing the transport properties both in non-interacting and interacting regimes, and measuring topological invariants in the non-interacting regime. We theoretically investigated the strongly interacting limit and develop effective theories for topological orders in a non-equilibrium system. Furthermore, we have developed numerical methods to study many-body correlated states in the driven-dissipative regimes.
- Fiber Optics and Integrated Optics