Symmetry Breaking and Fractionalization in topological systems and the application of quantum computing to solving differential equations
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Symmetry breaking and topology are central organization schemes to our understanding of physics. In the first part of the talk, we will describe how these intertwined orders can underlie various phenomena in two-dimensional systems such as graphene and magic angle twisted bilayer graphene. More specifically, we will argue that fractionalized excitonic states could coexist with SU(4) symmetry breaking giving rise to the quantized anomalous Hall transport observed in magic angle twisted bilayer graphene and that SU(4) ferromagnets with spontaneously generated spin-valley entanglement could become favorable in the higher Landau levels of single layer graphene. In the second part, we will shift our focus to the potential applications of quantum computing and machine learning. We will present the general scheme of their application in the context of differential equation solvers.
Videoconference via https://us02web.zoom.us/j/82249348474