Truncation errors in self-similar continuous unitary transformations
Strongly Correlated Electrons
2011-04-14 v1 Quantum Physics
Abstract
Effects of truncation in self-similar continuous unitary transformations (S-CUT) are estimated rigorously. We find a formal description via an inhomogeneous flow equation. In this way, we are able to quantify truncation errors within the framework of the S-CUT and obtain rigorous error bounds for the ground state energy and the highest excited level. These bounds can be lowered exploiting symmetries of the Hamiltonian. We illustrate our approach with results for a toy model of two interacting hard-core bosons and the dimerized S=1/2 Heisenberg chain.
Keywords
Cite
@article{arxiv.1009.3744,
title = {Truncation errors in self-similar continuous unitary transformations},
author = {Nils A. Drescher and Tim Fischer and Götz S. Uhrig},
journal= {arXiv preprint arXiv:1009.3744},
year = {2011}
}
Comments
17 pages, 8 figures