Geodesic
An infinite level atom coupled to a heat bath
Documenta mathematica, Tome 16 (2011), pp. 177-208

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We consider a W∗-dynamical system (Mβ​,τ), which models finitely many particles coupled to an infinitely extended heat bath. The energy of the particles can be described by an unbounded operator, which has infinitely many energy levels. We show existence of the dynamics τ and existence of a (β,τ) -KMS state under very explicit conditions on the strength of the interaction and on the inverse temperature β.
DOI : 10.4171/dm/330
Classification : 37N20, 47N50, 81V10
Mots-clés : KMS-state, thermal equilibrium, W∗-dynamical system, open quantum system 
M. Koenenberg. An infinite level atom coupled to a heat bath. Documenta mathematica, Tome 16 (2011), pp. 177-208. doi: 10.4171/dm/330
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     author = {M. Koenenberg},
     title = {An infinite level atom coupled to a heat bath},
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     pages = {177--208},
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     volume = {16},
     doi = {10.4171/dm/330},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/330/}
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