A Dynamical Bulk Boundary Correspondence: Dynamical Quantum Phase Transitions in Topological Matter
Prof. Nicholas Sedlmayr
Maria Curie-Skłodowska University, Lublin
02.06, 15:00 - 16:00
Dynamical quantum phase transitions are non-equilibrium phenomena where non-analyticities occur in dynamically evolving correlation functions, in analogy with the non-analyticities in the derivatives of the free energy for a standard phase transition. Topological phase transitions sperate phases of equivalent symmetry but different topology. The ways in which these two phenomena can be connected has recently become a topic of great interest. Here we will report on dynamical quantum phase transitions in one dimensional topological insulators which can demonstrate periodic, aperiodic, and quasi-periodic, transitions. We consider the role of the topologically protected edge states in the dynamics which leads to a dynamical bulk-boundary correspondence. Finally I will briefly touch on generalisations beyond low dimensions, to finite temperatures, and to open systems.