- 03-242 Jan Derezinski and Vojkan Jaksic
- Return to Equilibrium for Pauli-Fierz Systems
(626K, postscript)
May 27, 03
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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 $T\geq0$. 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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