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We use the stochastic series expansion quantum Monte Carlo method, togetherwith the eigenstate-to-Hamiltonian construction, to map the localized Boseglass ground state of the disordered two-dimensional Heisenberg model toexcited states of new target Hamiltonians. The localized nature of the groundstate is established by studying the participation entropy, local entanglemententropy, and local magnetization, all known in the literature to also beidentifying characteristics of many-body localized states. Our constructionmaps the ground state of the parent Hamiltonian to a single excited state of anew target Hamiltonian, which retains the same form as the parent Hamiltonian,albeit with correlated and large disorder. We furthermore provide evidence thatthe mapped eigenstates are genuine localized states and not specialzero-measure localized states like the quantum scar-states. Our results provideconcrete evidence for the existence of the many-body localized phase in twodimensions.

Evidence of many-body localization in 2D from quantum Monte Carlo simulation