Towards verified numerical renormalization group calculations

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.

6 pages, 4 figures

References in corpus (4)

• The numerical renormalization group method for quantum impurity systems
• Energy resolution and discretization artefacts in the numerical renormalization group
• Quantitative determination of the discretization and truncation errors in the numerical renormalization-group calculations of spectral functions
• A discrete energy space induced fermion parity breaking fixed point of the Kondo model