Recently, there has been a huge interest in the out of equilibrium dynamics of topological quantum many-body systems. Here, we explore the dynamics of the paradigmatic Haldane model with higher neighbor hoppings induced by global quantum quenches (sudden and slow) between topological and non-topological phases. We show that although the dynamical bulk Chern number remains invariant, the edge currents relax towards new equilibrium values, and that there is light-cone like spreading of the currents into the bulk. Whereas, in one dimensional non-interacting topological systems, we show, that symmetries possessed both by the initial wavefunction and by the Hamiltonian at all times may not be present in the time-dependent wavefunction which leads to the possibility of a time-varying bulk index and the generation of charge and heat currents. We also investigate the effects of temperature on the topology of such systems.
The Fate of Bulk Boundary Correspondence in Out of Equilibrium Non-Interacting Topological Quantum Many-Body Systems
Utso Bhattacharya (Indian Institute of Technology, Kanpur )
Date & Time
Tue, 08 January 2019, 10:00 to 11:00
Amal Raychaudhuri Meeting Room, ICTS Campus, Bangalore