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Recent experiments on Rydberg atom arrays have found evidence of anomalouslyslow thermalization and persistent density oscillations, which have beeninterpreted as a many-body analog of the phenomenon of quantum scars. Periodicdynamics and atypical scarred eigenstates originate from a "hard" kineticconstraint: the neighboring Rydberg atoms cannot be simultaneously excited.Here we propose a realization of quantum many-body scars in a 1D bosoniclattice model with a "soft" constraint in the form of density-assisted hopping.We discuss the relation of this model to the standard Bose-Hubbard model andpossible experimental realizations using ultracold atoms. We find that thismodel exhibits similar phenomenology to the Rydberg atom chain, includingweakly entangled eigenstates at high energy densities and the presence of alarge number of exact zero energy states, with distinct algebraic structure.

Quantum scars of bosons with correlated hopping