QM Research Seminar: Quantum phase transitions

Speaker: Ralph Kaufmann (Purdue University).

Abstract: 
Quantum phase transitions are a key part of the quantum landscape. These appear in mathematical systems and real materials. They are potentially useful for quantum computing and quantum sensing. In joint work with Mohamad Mousa and Birgit Kaufmann-Wehefritz, we showed that any abstract phase diagram of Chern insulators can be achieved in a continuum model. Furthermore, we gave sequences of higher Chern models built on tight-binding models exhibiting an infinite sequence of Chern numbers. In newer developments these constructions also will shed light on MPS and materials with symmetries. We also conjecture that they will be useful for quantum error correction.