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Zbl 1164.82005
Merkli, M.; Berman, G.P.; Sigal, I.M.
Dynamics of collective decoherence and thermalization. (English)
[J] Ann. Phys. 323, No. 12, 3091-3112 (2008). ISSN 0003-4916

The paper under review is concerned with the analysis of the dynamics of a system of spins collectively coupled to a thermal environment represented by the usual Fock space model. The authors prove that if the coupling is sufficiently weak and the form factors appearing in the Hamiltonian describing the interaction satisfy certain natural analyticity conditions then the decoherence rates appearing in the convergence to the equilibrium of the density matrix of a spin system can be described explicitly without referring to the standard in quantum probability weak coupling approximation [see {\it E. B. Davies}, Comm. Math. Phys. 39, 91--110 (1974; Zbl 0294.60080)]. The proofs are based on the spectral deformation method, developed by the authors in their earlier work [see Ann. Phys. 323, No. 2, 373--412 (2008; Zbl 1201.81083) and references therein].
[Adam Skalski (Lancaster)]

MSC 2000:: *82C10 Quantum dynamics and nonequilibrium statistical mechanics (general)
81V80 Appl. of quantum theory to quantum optics
82C20 Dynamic lattice systems

Keywords: decoherence; open quantum systems; spin systems; thermalization rate

Citations: Zbl 0294.60080; Zbl 1201.81083

Cited in: Zbl 1168.82018

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