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- W2023251851 abstract "The reduced dynamics of a central spin coupled to a bath of $N$ spin-$frac{1}{2}$ particles arranged in a spin star configuration is investigated. The exact time evolution of the reduced density operator is derived, and an analytical solution is obtained in the limit $Nensuremath{rightarrow}ensuremath{infty}$ of an infinite number of bath spins, where the model shows complete relaxation and partial decoherence. It is demonstrated that the dynamics of the central spin cannot be treated within the Born-Markov approximation. The Nakajima-Zwanzig and the time-convolutionless projection operator technique are applied to the spin star system. The performance of the corresponding perturbation expansions of the non-Markovian equations of motion is examined through a comparison with the exact solution." @default.
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- W2023251851 date "2004-07-30" @default.
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- W2023251851 title "Non-Markovian dynamics in a spin star system: Exact solution and approximation techniques" @default.
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- W2023251851 doi "https://doi.org/10.1103/physrevb.70.045323" @default.
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