PIRSA:15040072

Non-Equilibrium Dynamics of Topological Systems

Bhaseen, J. (2015). Non-Equilibrium Dynamics of Topological Systems. Perimeter Institute. https://pirsa.org/15040072

Bhaseen, Joe. Non-Equilibrium Dynamics of Topological Systems. Perimeter Institute, Apr. 21, 2015, https://pirsa.org/15040072 

          @misc{ pirsa_PIRSA:15040072,
            doi = {10.48660/15040072},
            url = {https://pirsa.org/15040072},
            author = {Bhaseen, Joe},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Non-Equilibrium Dynamics of Topological Systems},
            publisher = {Perimeter Institute},
            year = {2015},
            month = {apr},
            note = {PIRSA:15040072 see, \url{https://pirsa.org}}
          }

Joe Bhaseen King's College London

DOI 10.48660/15040072
Collection
Talk Type Scientific Series
Subject

Abstract

In this talk I will discuss the non-equilibrium response of Chern insulators [1]. Focusing on the Haldane model, we study the dynamics induced by quantum quenches between topological and non-topological phases. A notable feature is that the Chern number, calculated for an infinite system, is unchanged under the dynamics following such a quench. However, in finite geometries, the initial and final Hamiltonians are distinguished by the presence or absence of edge modes. We study the edge excitations and describe their impact on the experimentally-observable edge currents and magnetization. We show that, following a quantum quench, the edge currents relax towards new equilibrium values, and that there is light-cone spreading of the currents into the interior of the sample. I will briefly comment on a complementary project to understand non-equilibrium charge transport using gauge-gravity duality and hydrodynamics.

[1] M. D. Caio, N. R. Cooper, M. J. Bhaseen, Quantum Quenches in Chern Insulators, arXiv:1504.01910