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→∞ 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.
@article{arxiv.1304.5917,
title = {Exact dynamics of one-qubit system in layered environment},
author = {Mahmoud Mahdian and Hadi Mehrabpour},
journal= {arXiv preprint arXiv:1304.5917},
year = {2013}
}