Borrelli Raffaele
DISAFA, Università di Torino, I-10095 Grugliasco, Italy.
J Chem Phys. 2019 Jun 21;150(23):234102. doi: 10.1063/1.5099416.
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.
采用量子统计力学的对偶表述来描述一种新方法，用于求解约化密度矩阵运动方程的层级表述形式。结果表明，在对偶空间中引入波浪号算子及其代数极大地简化了密度矩阵传播数值技术的应用。讨论了在对偶表述框架内应用向量的张量列车表示来解决复杂量子动力学问题。接下来，给出了运动方程层级形式在耗散极化子模型中的应用，展示了新方法的有效性和准确性。
