Non-Markovian dynamics in a spin star system: Exact solution and approximation techniques
By H. Breuer, D. Burgarth, Francesco Petruccione. 2004
204 citations recorded by the source corpus.
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 $N\ensuremath{\rightarrow}\ensuremath{\infty}$ 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.
Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics
View Paper: https://www.semanticscholar.org/paper/a4fd40a3a4e93d3bb0455b2023008263370f3a97
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In Artificial Intelligence
In Atomic and Molecular Physics, and Optics
Citations in the corpus
- Dynamics of non-Markovian open quantum systems (2015, background): “In order to obtain a dynamical equation for Pρ(t), there are basically two different possibilities (Breuer et al., 2004).”