  We study the dynamical properties of the bosonic quantum East model at low
temperature. We show that a naive generalization of the corresponding spin-1/2
quantum East model does not posses analogous slow dynamical properties. In
particular, conversely to the spin case, the bosonic ground state turns out to
be not localized. We restore localization by introducing a repulsive
interaction term. The bosonic nature of the model allows us to construct rich
families of many-body localized states, including coherent, squeezed and cat
states. We formalize this finding by introducing a set of superbosonic
creation-annihilation operators which satisfy the bosonic commutation relations
and, when acting on the vacuum, create excitations exponentially localized
around a certain site of the lattice. Given the constrained nature of the
model, these states retain memory of their initial conditions for long times.
Even in the presence of dissipation, we show that quantum information remains
localized within decoherence times tunable with the parameters of the system.
We propose an implementation of the bosonic quantum East model based on
state-of-the-art superconducting circuits, which could be used in the near
future to explore dynamical properties of kinetically constrained models in
modern platforms.
