  Considering a two-dimensional Bose-Hubbard spinor lattice with weak nearest
neighbour interactions and no particle transfer between sites, we theoretically
study the transport of energy from one initially excited dimer, to the rest of
the lattice. Beyond a critical interaction strength, low energy on-site
excitations are quickly dispersed throughout the array, while stronger
excitations are self trapped, resulting in localized energy breathers and
solitons. These structures are quasiparticle analogues to the discrete 2D
solitons in photonic lattices. Full many-body simulations additionally
demonstrate the localization of one-particle entropy.
