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A Hierarchical-Equation-of-Motion Based Semiclassical Approach to Quantum Dissipation
Rui-xue Xu*,Xue-cheng Tao,Yao Wang,Yang Liu,Hou-dao Zhang,YiJing Yan
Author NameAffiliationE-mail
Rui-xue Xu* 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 rxxu@ustc.edu.cn 
Xue-cheng Tao 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  
Yao Wang 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  
Yang Liu 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  
Hou-dao Zhang 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  
YiJing Yan 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 equation[J. Chem. Phys. 131, 214111 (2009)] and numerically demonstrated on linear spectra of anharmonic oscillators.
Key words:  Quantum dissipation  Semiclassical approach  Hierarchical-equation-ofmotion  Anharmonic oscillators  Phase-space moments
FundProject: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).
基于级联方程的量子耗散半经典方法
徐瑞雪*,陶雪成,王尧,刘阳,张厚道,严以京
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DOI:10.1063/1674-0068/31/cjcp1807172
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