Truncation errors in self-similar continuous unitary transformations

Details Truncation errors in self-similar continuous unitary transformations Truncation errors in self-similar continuous unitary transformations

2010-09-20

arxiv.org/abs/1009.3744v1

European Physical Journal B 79(2), 225-240 (2011)

Physics

Condensed Matter

Strongly Correlated Electrons

17 pages, 8 figures

Scientific paper

10.1140/epjb/e2010-10723-6

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.

Affiliated with

Also associated with

No associations

Rating

Truncation errors in self-similar continuous unitary transformations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Truncation errors in self-similar continuous unitary transformations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Truncation errors in self-similar continuous unitary transformations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-264033