Multiphase dynamics in certain quasiperiodic systems*

In recent years quasiperiodic systems have been studied extensively as an ideal template for understanding localization transition and associated critical phenomena. In this talk we will demonstrate that competition between different phases near the critical regime of certain quasiperiodic systems can exhibit a rich range of dynamical properties. We will further show that the interplay between localized, delocalized and critical states in such systems can lead to novel emergent scale in the system. Finally we will discuss possible experimental signatures of these dynamical properties in certain quasiperiodic systems that have been realised in recent experiments.