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arXiv · 1107.0249

Optimized hierarchical equations of motion for Drude dissipation

Jin-Jin Ding·Jian Xu·Jie Hu·Rui-Xue Xu·YiJing Yan
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Abstract

The hierarchical equations of motion theory for Drude dissipation is optimized, with a convenient convergence criterion proposed in advance of numerical propagations. The theoretical construction is on basis of a Pad\'{e} spectrum decomposition that has been qualified to be the best sum-over-poles scheme for quantum distribution function. The resulting hierarchical dynamics under the {\em apriori} convergence criterion are exemplified with a benchmark spin-boson system, and also the transient absorption and two-dimensional spectroscopy of a model exciton dimer system.

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Jin-Jin Ding, Jian Xu, Jie Hu, Rui-Xue Xu, YiJing Yan. 2011-07-01. Optimized hierarchical equations of motion for Drude dissipation. https://arxiv.org/abs/1107.0249

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