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0042791219
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note
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s.
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63
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0041789033
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note
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For a discussion of Redfield theory including correlations between system and bath in the initial state see, for example, Refs. 58 and 92.
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64
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0042791218
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note
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Some authors use the term "Markov approximation" for the combination of step (ii) and the replacement of the upper integration limit / in Eq. (2.10) by infinity, which results in a time evolution described by a semigroup. In this paper, the additional approximation, where the upper "integration limit is replaced by infinity, is referred to as the stationary Redfield tensor approximation.
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72
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0042290196
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note
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c can only be considered as a rough estimate.
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76
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0041789032
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note
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This failure of the lowest order perturbation theory to describe decay rates in systems with a large mismatch between the system frequency and the characteristic frequency of the bath is well known from the theory of vibrational relaxation processes (Refs. 93 and 94).
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85
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0033636381
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M. H. Beck, A. Jäckle, G. A. Worth, and H.-D. Meyer, Phys. Rep. 324, 1 (2000).
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86
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0042791216
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note
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Another method that has been proposed to discretize the continuous spectral density of the bath in certain physical limits is the surrogate Hamiltonian (Refs. 88 and 87), where only a few modes and a single excitation of each mode is considered. This procedure is, however, not adequate for a numerical exact treatment of the examples considered in this paper.
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90
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0031138506
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