We study ergodic properties of Pauli-Fierz systems-W-dynamical systems often used to describe the interaction of a small quantum system with a bosonic free field at temperature T>0. We prove that, for a small coupling constant uniform as the positive temperature T↓0, a large class of Pauli-Fierz systems has the property of return to equilibrium. Most dof our arguments are general and deal with mathematical theory of Pauli-Fierz systems for an arbitrary density of bosonic field.
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