Equilibrium non equilibrium and topological phases of strongly correlated bosons

Abstract

In this thesis we study the equilibrium non equilibrium and topological properties of interacting bosons in periodic potentials In this context we systematically address the physics of interacting bosons in various scenarios using numerical methods such as the cluster mean field theory approach exact diagonalization and density matrix renormalization group method We first explore the possible quantum phase transitions in a multi body interacting Bose Hubbard model in two dimensions By...