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
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Sprache:	eng
Schlagworte:	Convergence Differential equations Equations of motion Mathematical models Open systems Physics Quantum theory
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container_title	The Journal of chemical physics
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creator	Xu, Meng Song, Linze Song, Kai Shi, Qiang
description	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.
doi_str_mv	10.1063/1.4974926
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subjects	Convergence Differential equations Equations of motion Mathematical models Open systems Physics Quantum theory
title	Convergence of high order perturbative expansions in open system quantum dynamics
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