Non-equilibrium dynamics of the Pokrovsky-Talapov model

The unprecedented control in AMO systems allows us to study paradigmatic models of solid-state and high-energy physics. In particular AMO systems give us the unique opportunity to study the non-equilibrium physics of systems of closed quantum systems which is difficult or impossible in a solid state or high energy context. In this work we study the non-equilibrium physics of the Pokrovsky-Talapov model which is effectively realized by two Raman tunnel-coupled one-dimensional Bose gases. In particular, we study two quench protocols: a quench from the commensurate to incommensurate phase and vice versa. In particular, we compute the short and medium time dynamics of density and phase fluctuations and comment on the dynamics of emergent defects in this system.