  We study the dynamics of hard-core bosons on ladders, in the presence of
strong kinetic constrains akin to those of the Bariev model. We use a
combination of analytical methods and numerical simulations to establish the
phase diagram of the model. The model displays a paired Tomonaga-Luttinger
liquid phase featuring an emergent dipole symmetry, which encodes the local
pairing constraint into a global, non-local quantity. We scrutinize the effect
of such emergent low-energy symmetry during quench dynamics including single
particle defects. We observe that, despite being approximate, the dipole
symmetry still leads to very slow relaxation dynamics, which we model via an
effective field theory. The model we discuss is amenable to realization in both
cold atoms in optical lattices and Rydberg atom arrays with dynamics taking
place solely in the Rydberg manifold. We present a blueprint protocol to
observe the effect of emergent dipole symmetry in such experimental platforms,
combining adiabatic state preparation with quench dynamics.
