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Abstracts of the meeting of the Physical Society of Japan. Sectional meeting

13a-H-11 Evaluation of Correction Terms for Higher-Order Decompositions of Exponential Operators

Hiroto Kobayashi, Naomichi Hatano, Masuo Suzuki

Published Sep 20, 1993• 0 citations
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The fractal decomposition of exponential operators proposed by Suzuki, which is a new category of the generalized Trotter decomposition valid up to higher orders, is examined with transfer-matrix calculations of the spin 1/2 antiferromagnetic XXZ model on the 4 ×2 triangular lattice. The dependence of correction terms on the Trotter number and temperature are studied. This dependence confirms rapid convergence of the fractal decomposition. The negative-sign problem arising in quantum Monte Carlo simulations is also discussed from the present new point of view.
Time-resolved x-ray absorption can reveal the dynamical screening of the local Coulomb interaction in strongly correlated photodoped materials. Here, we focus on the theoretical prediction of x-ray absorption in the presence of dynamical screening using the strong-coupling expansion, i.e., an expansion around the isolated absorption site in terms of the retarded interaction. The evaluation of higher-order diagrams is made numerically feasible by an approach based on the decomposition of the retarded interaction into complex exponentials. With this, we evaluate the strong-coupling series to third order on an electron-boson model of Holstein type. We demonstrate that in relevant coupling regimes, even low orders of the strong-coupling expansion can give a significant correction over the previously used lowest-order approximation.