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Exact quantum master equation via the calculus on path integrals

Rui-Xue Xu, Ping Cui, Xin-Qi Li, Yan Mo, YiJing Yan

quant-pharXiv:quant-ph/0409007

Abstract

An exact quantum master equation formalism is constructed for the efficient evaluation of quantum non-Markovian dissipation beyond the weak system-bath interaction regime in the presence of time-dependent external field. A novel truncation scheme is further proposed and compared with other approaches to close the resulting hierarchically coupled equations of motion. The interplay between system-bath interaction strength, non-Markovian property, and required level of hierarchy is also demonstrated with the aid of simple spin-boson systems.

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