2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/122970We study the interplay of collective dynamics and damping in the presence of correlations and bosonic fluctuations within the framework of a newly proposed model, which captures the principal transport mechanisms that apply to a variety of physical systems. We establish close connections to the transport of lattice and spin polarons, or the dynamics of a particle coupled to a bath. We analyse the model by exactly calculating the optical conductivity, Drude weight, spectral functions, groundstate dispersion and particle-boson correlation functions for a 1D infinite system.4 pages, 6 figures, final version to appear in Phys. Rev. LettStrongly Correlated Electronstext