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  • Title: Equilibrium and nonequilibrium dynamics of the sub-Ohmic spin-boson model.
    Author: Anders FB, Bulla R, Vojta M.
    Journal: Phys Rev Lett; 2007 May 25; 98(21):210402. PubMed ID: 17677752.
    Abstract:
    Employing the nonperturbative numerical renormalization group method, we study the dynamics of the spin-boson model, which describes a two-level system coupled to a bosonic bath with a spectral density J(omega) proportional to omega(s). We show that, in contrast with the case of Ohmic damping, the delocalized phase of the sub-Ohmic model cannot be characterized by a single energy scale only, due to the presence of a nontrivial quantum phase transition. In the strongly sub-Ohmic regime, s<<1, weakly damped coherent oscillations on short time scales are possible even in the localized phase--this is of crucial relevance, e.g., for qubits subject to electromagnetic noise.
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