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.
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; A hierarchical-equation-of-motion based semiclassical approach to quantum dissipation. Chin. J. Chem. Phys. 1 August 2018; 31 (4): 608–612. https://doi.org/10.1063/1674-0068/31/cjcp1807172
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