Completely positive post-Markovian master equation via a measurement approach
Completely positive post-Markovian master equation via a measurement approach
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DOI：
10.1103/physreva.71.020101
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发表时间：
2004-04
影响因子：
2.9
通讯作者：
A. Shabani;Daniel A. Lidar
中科院分区：
文献类型：
--
作者：
A. Shabani;Daniel A. Lidar
导出了一个后马尔可夫量子主方程，它通过唯象引入的记忆核kstd考虑了浴记忆效应。该推导使用了在耦合的系统-熔池演化过程中执行的概率单次熔池测量过程作为正式工具。由此得到的可解析解的主方程介于精确的Nakajima-Zwanzig方程和Markoov Lindblad方程之间。给出了关于KSTD性质的完全正性的充要条件，并给出了KSTD的实验测定公式。文中举例说明了这种形式主义。
A post-Markovian quantum master equation is derived, which includes bath memory effects via a phenomenologically introduced memory kernel kstd. The derivation uses as a formal tool a probabilistic single-shot bath-measurement process performed during the coupled system-bath evolution. The resulting analytically solvable master equation interpolates between the exact Nakajima-Zwanzig equation and the Markovian Lindblad equation. A necessary and sufficient condition for complete positivity in terms of properties of kstd is presented, in addition to a prescription for the experimental determination of kstd. The formalism is illustrated with examples.