Abstract
The temperature states of the spin-boson model consisting of a two-level atom in a Bose field are studied. It is proved that for all temperatures there exists a unique solution, hence there is no spontaneous reflection symmetry breaking.
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Leggett, A. J., Chakravarty, S., Dorsey, A. T., Fisher, M. P. A., Garg, Anupam, Zwerger, W.: Dynamics of the dissipative two-state system. Rev. Mod. Phys. 180
Davies, E. B.: Symmetry breaking for molecular open systems. Ann. Inst. H. PoincaréA35, 149 (1981)
Pfeifer, P.: Chiral Molecules. Diss. ETH N. 6551, Zürich, 1980
Spohn, H., Dümcke, R.: Quantum Tunnfling with dissipation and the Ising model over ℝ. J. Stat. Phys.41, 389 (1985)
Rocca, F., Sirugue, M., Testard, D.: On a class of equilibrium states under the Kubo-Martin-Schwinger Condition, II. Bosons. Commun. Math. Phys.19, 119 (1970)
Bratteli, O., Robinson, D. W.: Operator algebras and quantum statistical mechanics, II. Berlin, Heidelberg, New York: Springer 1981
Araki, H., Woods, E. J.: Representations of the canonical commutation relations describing a nonrelativistic infinite free Base gas. J. Math. Phys.4, 637 (1963)
Manuceau, J.: Etude de quelques automorphismes de laC*-algebra du champ de bosons libres. Ann. Inst. H. PoincaréVIIIA2, 117 (1968)
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Communicated by H. Araki
Bevoegdverklaard Navorser N.F.W.O. Belgium
Onderzoeker I.I.K.W. Belgium
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Fannes, M., Nachtergaele, B. & Verbeure, A. The equilibrium states of the spin-boson model. Commun.Math. Phys. 114, 537–548 (1988). https://doi.org/10.1007/BF01229453
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DOI: https://doi.org/10.1007/BF01229453