Abstract.
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 \geq 0 $. We prove that, for a small coupling constant uniform as the positive temperature $ T \downarrow 0 $, a large class of Pauli-Fierz systems has the property of return to equilibrium. Most of our arguments are general and deal with mathematical theory of Pauli-Fierz systems for an arbitrary density of bosonic field.
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Communicated by Gian Michele Graf
submitted 22/09/02, accepted: 06/05/03
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Dereziński, J., Jakšić, V. Return to Equilibrium for Pauli-Fierz Systems . Ann. Henri Poincaré 4, 739–793 (2003). https://doi.org/10.1007/s00023-003-0146-4
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DOI: https://doi.org/10.1007/s00023-003-0146-4