Non-Markovian dynamics in a spin star system: Exact solution and approximation techniques
Non-Markovian dynamics in a spin star system: Exact solution and approximation techniques
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 …