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Showing papers by "Vojkan Jaksic published in 1995"


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TL;DR: In this paper, the dynamics of a 2-level atom coupled to a massless bosonic field at positive temperature were investigated and it was shown that, at small coupling, the combined quantum system approaches thermal equilibrium.
Abstract: We investigate the dynamics of a 2-level atom (or spin-1/2) coupled to a mass-less bosonic field at positive temperature. We prove that, at small coupling, the combined quantum system approaches thermal equilibrium. Moreover we establish that this approach is exponentially fast in time. We first reduce the question to a spectral problem for the Liouvillean, a self-adjoint operator naturally associated with the system. To compute this operator, we invoke Tomita-Takesaki theory. Once this is done we use complex deformation techniques to study its spectrum. The corresponding zero temperature model is also reviewed and compared.

14 citations