Advanced density matrix renormalization group method for nuclear structure calculations
Entity
UAM. Departamento de Física TeóricaPublisher
American Physical SocietyDate
2015-11-09Citation
10.1103/PhysRevC.92.051303
Physical Review C - Nuclear Physics 92.5 (2015): 051303
ISSN
0556-2813 (print); 1089-490X (online)DOI
10.1103/PhysRevC.92.051303Funded by
This work was supported in part by the Hungarian Research Fund (OTKA) through Grants No. K100908 and No. NN110360, and by the Spanish Ministry of Economy and Competitiveness through Grants No. FIS2012- 34479, No. FPA2014-57196, and No. SEV2012-0249Project
Gobierno de España. FIS2012- 34479; Gobierno de España. FPA2014-57196; Gobierno de España. SEV2012-0249Editor's Version
http://dx.doi.org/10.1103/PhysRevC.92.051303Subjects
FísicaRights
© 2015 American Physical SocietyAbstract
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 Ni56. We then report the first DMRG results in the pf+g9/2 shell model space for the ground 0+ and first 2+ states of Ge64 which are benchmarked with reference data obtained from a Monte Carlo shell model. The corresponding correlation structure among the proton and neutron orbitals is determined in terms of 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
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Google Scholar:Legeza, Ö.
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Veis, L.
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Poves Paredes, Alfredo
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Dukelsky, J.
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