The interplay of collective dynamics and damping in the presence of correlations and bosonic fluctuations is studied within the framework of a newly proposed model, which captures the principal transport mechanisms that apply to a variety of physical systems. The close connections to the transport of lattice and spin polarons, or the dynamics of a particle coupled to a bath are established. The model is analysed in the one-particle sector by exactly calculating the optical conductivity, Drude weight, spectral functions, groundstate dispersion and particle-boson correlation functions for a 1D infinite system. For the half-filled band case a metal-insulator quantum phase transition is shown to exist. We discuss relations to the Mott and Peierls transition scenarios. |
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