Exact dynamics of one-qubit system in layered environment

Abstract

We investigate the exact evolution of the reduced dynamics of a one qubit system as central spin coupled to a femionic layered environment with unlimited number of layers. Also, we study the decoherence induced on central spin by analysis solution is obtained in the limit $N\to \infty$ of an infinite number of bath spins. Finally, the Nakajima-Zwanzig (NZ) and the time-convolutionless (TCL) projection operator techniques to second order are derived.

20 pages, 11 figures

References in corpus (1)

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

Cited by in corpus (1)

• Kraus representation for maps and master equation in spin star model with layered environment