Article,

Symmetric improved estimators for continuous-time quantum Monte Carlo

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Phys. Rev. B, 100 (7): 075119 (Aug 8, 2019)cite arxiv:1906.00880Comment: 8 pages + 7 pages appendix, 6 figures.
DOI: 10.1103/PhysRevB.100.075119

Abstract

We derive equations of motion for Green's functions of the multi-orbital Anderson impurity model by differentiating symmetrically with respect to all time arguments. The resulting equations relate the one- and two-particle Green's function to correlators of up to six particles at four times. As an application we consider continuous-time quantum Monte Carlo simulations in the hybridization expansion, which hitherto suffered from notoriously high noise levels at large Matsubara frequencies. Employing the derived symmetric improved estimators overcomes this problem.

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