期刊
JOURNAL OF CHEMICAL PHYSICS
卷 150, 期 23, 页码 -出版社
AIP Publishing
DOI: 10.1063/1.5099416
关键词
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资金
- European Union's Horizon 2020 Research and Innovation Program [826013]
- CINECA Award under the ISCRA initiative [TFDTT-HP10CWGIMW, TFQDHP10CU8XMP]
- University of Torino [BORR-RILO-18-01]
- Italian Ministry of Education, Universities and Research (MIUR) [FFABR 2018]
The twin-formulation of quantum statistical mechanics is employed to describe a new methodology for the solution of the equations of motion of the reduced density matrix in their hierarchical formulation. It is shown that the introduction of tilde operators and of their algebra in the dual space greatly simplifies the application of numerical techniques for the propagation of the density matrix. The application of tensor-train representation of a vector to solve complex quantum dynamical problems within the framework of the twin-formulation is discussed. Next, applications of the hierarchical equations of motion to a dissipative polaron model are presented showing the validity and accuracy of the new approach.
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