Optimally chosen Nakajima-Zwanzig master equation for mean field approximation

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• 作者：Joshua Wilkie^a ; ^{wilkie@sfu.ca} ; Yin Mei Wong^b ; ^{yinwong01@shaw.ca}
• 关键词：Quantum open system ; Complete positivity ; Equilibration ; Mean field ; Kossakowski&ndash ; Lindblad
• 刊名：Physics Letters A
• 出版年：2012
• 期刊代码：57_03759601
• 类别：ph
• 出版时间：12 March, 2012
• 卷：376
• 期：15
• 页码：1250-1261
• 文件大小：418 K

摘要

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 a completely determined inhomogeneous master equation for every projection operator. A specific projection operator is then chosen so that the master equation optimally matches an abstract mathematical form which preserves positivity, complete positivity, and correctly equilibrates. We study a nitrogen vacancy center in diamond interacting with ¹³C impurities to illustrate the method.