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Truncation errors in self-similar continuous unitary transformations

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  • N. A. Drescher
  • T. Fischer
  • G. S. Uhrig

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. Copyright EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2011

Suggested Citation

  • N. A. Drescher & T. Fischer & G. S. Uhrig, 2011. "Truncation errors in self-similar continuous unitary transformations," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 79(2), pages 225-240, January.
    • Handle: RePEc:spr:eurphb:v:79:y:2011:i:2:p:225-240
    DOI: 10.1140/epjb/e2010-10723-6
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