Importance truncation for the in-medium similarity renormalization group
arXiv:2110.09390 · doi:10.1103/PhysRevC.105.034324
Abstract
Ab initio nuclear many-body frameworks require extensive computational resources, especially when targeting heavier nuclei. Importance-truncation (IT) techniques allow to significantly reduce the dimensionality of the problem by neglecting unimportant contributions to the solution of the many-body problem. In this work, we apply IT methods to the nonperturbative in-medium similarity renormalization group (IMSRG) approach and investigate the induced errors for ground-state energies in different mass regimes based on different nuclear Hamiltonians. We study various importance measures, which define the IT selection, and identify two measures that perform best, resulting in only small errors to the full IMSRG(2) calculations even for sizable compression ratios. The neglected contributions are accounted for in a perturbative way and serve as an estimate of the IT-induced error. Overall we find that the IT-IMSRG(2) performs well across all systems considered, while the largest compression ratios for a given error can be achieved when using soft Hamiltonians and for large single-particle bases.
14 pages, 9 figures, published version
References in corpus (8)
- Improved nuclear matter calculations from chiral low-momentum interactions
- Similarity Renormalization Group for Nucleon-Nucleon Interactions
- In-Medium Similarity Renormalization Group for Nuclei
- Importance Truncation for Large-Scale Configuration Interaction Approaches
- Three-nucleon forces and spectroscopy of neutron-rich calcium isotopes
- In-Medium Similarity Renormalization Group for Closed and Open-Shell Nuclei
- In-medium similarity renormalization group with three-body operators
- Pre-processing the nuclear many-body problem: Importance truncation versus tensor factorization techniques