Convergence of high order perturbative expansions in open system quantum dynamics

We propose a new method to directly calculate high order perturbative expansion terms in open system quantum dynamics. They are first written explicitly in path integral expressions. A set of differential equations are then derived by extending the hierarchical equation of motion (HEOM) approach. As...

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Veröffentlicht in:The Journal of chemical physics 2017-02, Vol.146 (6), p.064102-064102
Hauptverfasser: Xu, Meng, Song, Linze, Song, Kai, Shi, Qiang
Format: Artikel
Sprache:eng
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Zusammenfassung:We propose a new method to directly calculate high order perturbative expansion terms in open system quantum dynamics. They are first written explicitly in path integral expressions. A set of differential equations are then derived by extending the hierarchical equation of motion (HEOM) approach. As two typical examples for the bosonic and fermionic baths, specific forms of the extended HEOM are obtained for the spin-boson model and the Anderson impurity model. Numerical results are then presented for these two models. General trends of the high order perturbation terms as well as the necessary orders for the perturbative expansions to converge are analyzed.
ISSN:0021-9606
1089-7690
DOI:10.1063/1.4974926