Towards verified numerical renormalization group calculations
Peter Schmitteckert
TL;DR
This paper enhances the numerical renormalization group method by incorporating interval arithmetic, allowing for verified enclosures of excitation spectra and improving the reliability of results in studying strongly correlated quantum systems.
Contribution
It introduces interval arithmetic into NRG calculations, providing the first numerically verified enclosures of excitation spectra for strongly correlated systems.
Findings
Interval arithmetic improves NRG result reliability.
Verified enclosures of excitation spectra are now possible.
The method enhances confidence in numerical results for quantum systems.
Abstract
Numerical approaches are an important tool to study strongly correlated quantum systems. However, their fragility with respect to rounding errors is not well studied and numerically verified enclosures of the results are not available. In this work we apply interval arithmetic to the well established numerical renormalization group scheme. This extension enables us to provide a numerically verified NRG excitation spectrum.
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