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arXiv · 1107.3064

The Similarity Renormalization Group for Three-Body Interactions in One Dimension

O. Åkerlund·E. J. Lindgren·J. Bergsten·B. Grevholm·P. Lerner·R. Linscott·C. Forssén·L. Platter
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Abstract

We report on recent progress of the implementation of the similarity renormalization group (SRG) for three-body interactions in a one-dimensional, bosonic model system using the plane wave basis. We discuss our implementation of the flow equations and show results that confirm that results in the three-body sector remain unchanged by the transformation of the Hamiltonian. We also show how the SRG transformation decouples low- from high-momentum nodes in the three-body sector and therefore simplifies the numerical calculation of observables.

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O. Åkerlund, E. J. Lindgren, J. Bergsten, B. Grevholm, P. Lerner, R. Linscott, C. Forssén, L. Platter. 2011-07-15. The Similarity Renormalization Group for Three-Body Interactions in One Dimension. https://doi.org/10.1140/epja/i2011-11122-4

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