  We use the stochastic series expansion quantum Monte Carlo method, together
with the eigenstate-to-Hamiltonian construction, to map the localized Bose
glass ground state of the disordered two-dimensional Heisenberg model to
excited states of new target Hamiltonians. The localized nature of the ground
state is established by studying the participation entropy, local entanglement
entropy, and local magnetization, all known in the literature to also be
identifying characteristics of many-body localized states. Our construction
maps the ground state of the parent Hamiltonian to a single excited state of a
new target Hamiltonian, which retains the same form as the parent Hamiltonian,
albeit with correlated and large disorder. We furthermore provide evidence that
the mapped eigenstates are genuine localized states and not special
zero-measure localized states like the quantum scar-states. Our results provide
concrete evidence for the existence of the many-body localized phase in two
dimensions.
