Topological singularities and transport in kicked Harper model.
Quasienergy spectrum of kicked Harper model is found to exhibit a series of diabolic crossings. These conical degeneracies reside mostly on the symmetry line of its two-dimensional parameter space and their locations are found to coincide with the local maxima of the kinetic energy of the kicked system. Additionally, there are exceptional point singularities, that are found by analytically continuing the kicking parameter in the complex plane. The location of these singularities appear to be correlated with the localization of the quantum wave packet. These studies suggest a correlation between the transport and the topological characteristics of the system.
Satija
Indubala I
II
Department of Physics, George Mason University, Fairfax, Virginia 22030, USA.