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基于级联方程的量子耗散半经典方法
引用本文:徐瑞雪,陶雪成,王尧,刘阳,张厚道,严以京.基于级联方程的量子耗散半经典方法[J].化学物理学报,2018,31(4):608-612.
作者姓名:徐瑞雪  陶雪成  王尧  刘阳  张厚道  严以京
作者单位:中国科学技术大学合肥微尺度物质科学国家研究中心, 化学物理系, 量子信息与量子科技前沿协同创新中心, 能源材料化学协同创新中心, 合肥 230026,中国科学技术大学合肥微尺度物质科学国家研究中心, 化学物理系, 量子信息与量子科技前沿协同创新中心, 能源材料化学协同创新中心, 合肥 230026,中国科学技术大学合肥微尺度物质科学国家研究中心, 化学物理系, 量子信息与量子科技前沿协同创新中心, 能源材料化学协同创新中心, 合肥 230026,中国科学技术大学合肥微尺度物质科学国家研究中心, 化学物理系, 量子信息与量子科技前沿协同创新中心, 能源材料化学协同创新中心, 合肥 230026,中国科学技术大学合肥微尺度物质科学国家研究中心, 化学物理系, 量子信息与量子科技前沿协同创新中心, 能源材料化学协同创新中心, 合肥 230026,中国科学技术大学合肥微尺度物质科学国家研究中心, 化学物理系, 量子信息与量子科技前沿协同创新中心, 能源材料化学协同创新中心, 合肥 230026
基金项目:This work was supported by the National Natural Science Foundation of China (No.21373191, No.21573202, No.21633006, and No.21703225), and the Fundamental Research Funds for the Central Universities (No.2030020028, No.2060030025, and No.2340000074).
摘    要:

收稿时间:2018/7/19 0:00:00

A Hierarchical-Equation-of-Motion Based Semiclassical Approach to Quantum Dissipation
Rui-xue Xu,Xue-cheng Tao,Yao Wang,Yang Liu,Hou-dao Zhang and YiJing Yan.A Hierarchical-Equation-of-Motion Based Semiclassical Approach to Quantum Dissipation[J].Chinese Journal of Chemical Physics,2018,31(4):608-612.
Authors:Rui-xue Xu  Xue-cheng Tao  Yao Wang  Yang Liu  Hou-dao Zhang and YiJing Yan
Institution:Hefei National Laboratory for Physical Sciences at the Microscale and Department of Chemical Physics and Synergetic Innovation Center of Quantum Information and Quantum Physics and Collaborative Innovation Center of Chemistry for Energy Materials(iChEM), University of Science and Technology of China, Hefei 230026, China,Hefei National Laboratory for Physical Sciences at the Microscale and Department of Chemical Physics and Synergetic Innovation Center of Quantum Information and Quantum Physics and Collaborative Innovation Center of Chemistry for Energy Materials(iChEM), University of Science and Technology of China, Hefei 230026, China,Hefei National Laboratory for Physical Sciences at the Microscale and Department of Chemical Physics and Synergetic Innovation Center of Quantum Information and Quantum Physics and Collaborative Innovation Center of Chemistry for Energy Materials(iChEM), University of Science and Technology of China, Hefei 230026, China,Hefei National Laboratory for Physical Sciences at the Microscale and Department of Chemical Physics and Synergetic Innovation Center of Quantum Information and Quantum Physics and Collaborative Innovation Center of Chemistry for Energy Materials(iChEM), University of Science and Technology of China, Hefei 230026, China,Hefei National Laboratory for Physical Sciences at the Microscale and Department of Chemical Physics and Synergetic Innovation Center of Quantum Information and Quantum Physics and Collaborative Innovation Center of Chemistry for Energy Materials(iChEM), University of Science and Technology of China, Hefei 230026, China and Hefei National Laboratory for Physical Sciences at the Microscale and Department of Chemical Physics and Synergetic Innovation Center of Quantum Information and Quantum Physics and Collaborative Innovation Center of Chemistry for Energy Materials(iChEM), University of Science and Technology of China, Hefei 230026, China
Abstract:We present a semiclassical (SC) approach for quantum dissipative dynamics, constructed on basis of the hierarchical-equation-of-motion (HEOM) formalism. The dynamical components considered in the developed SC-HEOM are wavepackets'' phase-space moments of not only the primary reduced system density operator but also the auxiliary density operators (ADOs) of HEOM. It is a highly numerically efficient method, meanwhile taking into account the high-order effects of system-bath couplings. The SC-HEOM methodology is exemplified in this work on the hierarchical quantum master equationJ. Chem. Phys. 131, 214111 (2009)] and numerically demonstrated on linear spectra of anharmonic oscillators.
Keywords:Quantum dissipation  Semiclassical approach  Hierarchical-equation-ofmotion  Anharmonic oscillators  Phase-space moments
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