  The relaxation dynamics of correlated electron transport (ET) along molecular
chains is studied based on a substantially improved numerically exact path
integral Monte Carlo (PIMC) approach. As archetypical model we consider a
Hubbard chain containing two interacting electrons coupled to a bosonic bath.
For this generalization of the ubiquitous spin-boson model, the intricate
interdependence of correlations and dissipation leads to non-Boltzmann thermal
equilibrium distributions for many-body states. By mapping the multi-particle
dynamics onto an isomorphic single particle motion this phenomenon is shown to
be sensitive to the particle statistics and due to its robustness allows for
new control schemes in designed quantum aggregates.
