arXiv Analytics

Sign in

arXiv:1507.00161 [nucl-th]AbstractReferencesReviewsResources

Advanced density matrix renormalization group method for nuclear structure calculations

Ö. Legeza, L. Veis, A. Poves, J. Dukelsky

Published 2015-07-01Version 1

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 $^{56}$Ni. We then report the first DMRG results in the $pf+g9/2$ shell model space for the ground $0^+$ and first $2^+$ states of $^{64}$Ge 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.

Related articles: Most relevant | Search more
arXiv:1609.05648 [nucl-th] (Published 2016-09-19)
Nuclear structure calculations for two-neutrino double-beta decay
arXiv:nucl-th/0202048 (Published 2002-02-15)
The Density Matrix Renormalization Group Method and Large-Scale Nuclear Shell-Model Calculations
arXiv:1306.4661 [nucl-th] (Published 2013-06-19, updated 2014-08-26)
Wave functions of the Q.Q interaction in terms of unitary 9-j coefficients