  We use a simple holographic toy model to study global quantum quenches in
strongly-coupled, hyperscaling-violating-Lifshitz quantum field theories using
entanglement entropy as a probe. Generalizing our results in arxiv:1705.10324 ,
we show that the holographic entanglement entropy of small subsystems can be
written as a simple linear response relation. We use this relation to derive a
time-dependent first law of entanglement entropy. In general, this law has a
time-dependent term resembling relative entropy which we propose as a good
order parameter to characterize out-of-equilibrium-states in the post-quench
evolution. We use these tools to study a broad class of quantum quenches in
detail: instantaneous, power law and periodic.
