Hierarchical theory of quantum dissipation: Partial fraction decomposition scheme

Details Hierarchical theory of quantum dissipation: Partial fraction decomposition scheme Hierarchical theory of quantum dissipation: Partial fraction decomposition scheme

2009-09-21

arxiv.org/abs/0909.3762v2

Physics

Condensed Matter

Statistical Mechanics

8 pages, 3 figures, submitted to Chemical Physics special issue "Dynamics of molecular systems: From quantum to classical"

Scientific paper

We propose a partial fraction decomposition scheme to the construction of hierarchical equations of motion theory for bosonic quantum dissipation systems. The expansion of Bose--Einstein function in this scheme shows similar properties as it applies for Fermi function. The performance of the resulting quantum dissipation theory is exemplified with spin--boson systems. In all cases we have tested the new theory performs much better, about an order of magnitude faster, than the best available conventional theory based on Matsubara spectral decomposition scheme.

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