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Dissipaton Equation of Motion with Controlled Truncation
Yuan Kong1, Hou-dao Zhang2, Yi-meng Wang1, Rui-xue Xu1,3, YiJing Yan1,2
1.Hefei National Laboratory for Physical Sciences at the Microscale, University of Science and Technology of China, Hefei 230026, China;2.Department of Chemistry, Hong Kong University of Science and Technology, Hong Kong, China;3.Synergetic Innovation Center of Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei 230026, China
Abstract:
This work aims at a priori accuracy controlled truncation to the dissipaton equation of motion formalism for non-perturbative quantum dissipative dynamics. A new truncation scheme is proposed by adopting the Markovian and high-temperature approximation similar to the Caldeira-Leggett master equation made at the termination level. An accuracy criterion to determine the truncation level is put forward via a Markovianicity analysis. Performances of both the new truncation scheme and the control criterion are illustrated via dynamics simulation of electron transfer systems.
Key words:  Dissipaton, Equation of motion, Controlled truncation
FundProject:
耗散子运动方程组的可控截断
孔源1, 张厚道*2, 王轶萌1, 徐瑞雪*1,3, 严以京1,2
1.中国科学技术大学合肥微尺度物质科学国家实验室(筹),合肥230026;2.香港科技大学化学系,香港;3.中国科学技术大学量子信息和量子物理协同创新中心,合肥230026
摘要:
为耗散子运动方程组提出精度可控的预截断方案来模拟和研究非微扰的量子耗散动力学.发展了具有类似Caldeira-Leggett主方程形式、在终止阶层采取马尔科夫和高温近似方法的截断方案,根据马尔科夫性质的分析给出确定终止层数的精度判据,并通过电荷转移体系的动力学模拟进行了检验.
关键词:  耗散子,运动方程组,可控截断
DOI:10.1063/1674-0068/28/cjcp1506114
分类号: