Abstract
The dynamics of $v$ bosons initially created on the same site of a finite-size lattice is analyzed according to a Bose version of the Hubbard model. For a boson number greater than 2, it is shown that the interplay between symmetry breaking and nonlinearity favors the occurrence of localized bound states. In a localized state, the $v$ bosons are trapped close to each other and they behave as a single particle whose wave function is exponentially localized near a lattice side. Consequently, the creation of $v$ bosons on a side site mainly excites a localized state so that the main part of the energy stays localized on the excited site over an infinite time scale.
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