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Towards verified numerical renormalization group calculations

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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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Authors and Affiliations

  1. Lehrstuhl für Theoretische Physik I, Physikalisches Institut, Am Hubland Universität Würzburg, 97074, Würzburg, Germany

    Peter Schmitteckert

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  1. Peter Schmitteckert
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Correspondence to Peter Schmitteckert.

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Schmitteckert, P. Towards verified numerical renormalization group calculations. Eur. Phys. J. Spec. Top. 227, 2281–2287 (2019). https://doi.org/10.1140/epjst/e2018-800058-3

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  • DOI: https://doi.org/10.1140/epjst/e2018-800058-3

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