to effectively control the amount of friction present[@Vladan2015] and can give insights into designing frictionless dynamical processes for quantum systems.

In this work we focus on describing the static and dynamical phases of an ultracold gas in an optical lattice potential with periodic boundary conditions [@Cazalilla2003; @Brouzos2010; @Lazarides2012]. We focus on the Tonks-Girardeau (TG) limit in one dimension [@Paredes2004; @Kinoshita2005], where the appearance of the pinned phase can be observed for particle numbers commensurate with the underlying lattice, such that the system becomes insulating even for very shallow lattice depths. Suddenly setting the lattice potential into motion with a constant rotation speed allows us to probe the dynamical response of the TG gas to a quench in the external potential and to study the relationship between between friction and commensurability. The observed behaviour is similar to a type of quantum sprocket, where the rotating lattice will impart maximum angular momentum to the gas if the system is in the insulating phase, while in the superfluid phase only reduced momentum transfer is observed due to tunneling of the particles between lattice sites. Our work is related to recent investigations of driven cold atom systems in the continuum [@Citro2009; @Hallwood2010; @Schenke2011; @Schenke2012; 