Quantum simulation of topological phase of matter
The difficulty to simulate quantum mechanics, known to be a difficult computational problem especially when dealing with large systems, may be overcome by using some controllable quantum system to study another less controllable or accessible quantum system, i.e., quantum simulation. Furthermore, quantum simulation using cold atoms promises to have applications in the study of many problems in, e.g., condensed- matter physics, high- energy physics, atomic physics, quantum chemistry, and cosmology. Many members of our current research team have worked on topological quantum computation with anyons during the last three years. In relation with our recent works, our objective will be to simulate some specific topological phase of matter that will allow to provide a topologically protected environment that will allow to perform topologically protected computation. The acquired theoretical expertise will be a big advantage for us to extract interesting results from the experiment in a resonable time.