2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/229350Harmonically trapped lattice bosons with strong repulsive interactions exhibit a superfluid-Mott-insulator heterostructure in the form of a "wedding cake". We discuss the mesoscopic aspects of such a system within a one-dimensional scattering matrix approach and calculate the scattering properties of quasi-particles at a superfluid-Mott-insulator interface as an elementary building block to describe transport phenomena across such a boundary. We apply the formalism to determine the heat conductivity through a Mott layer, a quantity relevant to describe thermalization processes in the optical lattice setup. We identify a critical hopping below which the heat conductivity is strongly suppressed.11 pages, 5 figuresOther Condensed MatterStrongly Correlated ElectronsSuperconductivitytext