  Quantum link models are extensions of Wilson-type lattice gauge theories
which realize exact gauge invariance with finite-dimensional Hilbert spaces.
Quantum link models not only reproduce the standard features of Wilson's
lattice gauge theories, but also host new phenomena such as crystalline
confined phases. We study the non-equilibrium quench dynamics for two
representative cases, $U(1)$ quantum link models in (1+1)d and (2+1)d, through
the lens of dynamical quantum phase transitions. Finally, we discuss the
connection to the high-energy perspective and the experimental feasibility to
observe the discussed phenomena in recent quantum simulator settings such as
trapped ions, ultra-cold atoms, and Rydberg atoms.
