2015/07/01 by Ö. Legeza, L. Veis, A. Poves +1
Physics and Astronomy · #nucl-th #cond-mat.str-el #physics.chem-ph
paper · pdf · doi:10.1103/physrevc.92.051303
published as Phys. Rev. C 92, 051303 (2015) · 5 pages, 4 figures
arxiv created 2015/07/01 · arxiv updated 2015/11/18
We present an efficient implementation of the Density Matrix Renormalization Group (DMRG) algorithm that includes an optimal ordering of the proton and neutron orbitals and an efficient expansion of the active space utilizing various concepts of quantum information theory. We first show how this new DMRG methodology could solve a previous 400 KeV discrepancy in the ground state energy of 56Ni. We then report the first DMRG results in the pf+g9/2 shell model space for the ground 0+ and first 2+ states of 64Ge which are benchmarked with reference data obtained from Monte Carlo shell model. The corresponding correlation structure among the proton and neutron orbitals is determined in terms of the two-orbital mutual information. Based on such correlation graphs we propose several further algorithmic improvement possibilities that can be utilized in a new generation of tensor network based algorithms.