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Special Seminar by Kyle Monkman – Symmetry Protection in Hermitian and Non-Hermitian Hamiltonians 

January 24, 2023 @ 10:30 am - 11:30 am

Speaker: Kyle Monkman, The University of Manitoba

Talk title: Symmetry Protection in Hermitian and Non-Hermitian Hamiltonians 

Abstract: Symmetry-protected topological insulators are protected by both the symmetry and by the system’s band gap. This protection means that certain properties of the system remain unchanged by deformations of the (Hermitian) Hamiltonian. In my PhD work, we have shown that entanglement is a symmetry protected quantity in various symmetry classes.

On the other hand, when considering a system in an external environment, it is difficult to show that the system is topologically protected. It is in these cases that modelling the time dynamics with a non-Hermitian Hamiltonian becomes relevant. Ultimately, the goal is to classify non-Hermitian time dynamics under various symmetry constraints. If measurable quantities are protected in these systems, then we would have a very robust quantum state.


January 24, 2023
10:30 am - 11:30 am


Stewart Blusson Quantum Matter Institute
Room 311, 2235 East Mall
Vancouver, British Columbia V6T 1Z4 Canada