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Quantum Information techniques for detecting Topological Order

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If you have a question about this talk, please contact William Matthews.

The Chern number is a mathematical object that can theoretically determine if a fermionic system is topologically ordered or not. For example, it can unambiguously determine if a system can support Majorana fermions that can be employed for topological quantum computation. In this talk we will reformulate the Chern number in terms of a Berry phase or a winding number. Finally, we will present a new decomposition of the Chern number in terms of the spin components of the system’s fermions that can be measured, for example in cold atoms experiments.

This talk is part of the CQIF Seminar series.

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