Out-of-equilibrium dynamics in the multi-component Bose-Hubbard model

Synopsis

In recent years, there have been extensive investigations of the out-of-equilibrium dynamics of cold atoms in optical lattices (periodic potentials created from standing wave lasers). The ability to precisely tune the parameters of these systems in real time makes them highly versatile, and makes it possible to use cold atoms in an optical lattice as a quantum simulator to study the temporal evolution of quantum systems.

By manipulating their internal degrees of freedom, spin-1/2 bosons can be created and studied. These spinor bosons are a novel physical system that can only be produced with cold atoms. This has led to increasing interest in the out-of-equilibrium dynamics of spinor bosons in optical lattices. In this work, we study the Bose-Hubbard model for two-component bosons to derive an effective action of this problem.