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arXiv · 1110.2431

Optimally chosen Nakajima-Zwanzig master equation for mean field approximation

Joshua Wilkie·Yin Mei Wong
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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.

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Joshua Wilkie, Yin Mei Wong. 2011-10-11. Optimally chosen Nakajima-Zwanzig master equation for mean field approximation. https://doi.org/10.1016/j.physleta.2012.02.014

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