Optimally chosen Nakajima-Zwanzig master equation for mean field approximation
Quantum Physics
2015-05-30 v1
Abstract
We define an ensemble of projection operators, each of which has an exact associated Nakajima-Zwanzig master equation for quantum open system evolution. A mean field approximation for the memory kernels is introduced that yields, for an optimally chosen projection operator, a completely determined inhomogeneous master equation. Previous proofs of positivity and equilibration are extended to these new inhomogeneous non-Markovian master equations. We study a nitrogen vacancy center in diamond interacting with 13C impurities to illustrate the method.
Cite
@article{arxiv.1110.2431,
title = {Optimally chosen Nakajima-Zwanzig master equation for mean field approximation},
author = {Joshua Wilkie and Yin Mei Wong},
journal= {arXiv preprint arXiv:1110.2431},
year = {2015}
}
Comments
25 pages, 9 figures