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Title: Density Matrix Renormalization Group Approach to Two-Fluid Open Many-Fermion Systems

Abstract

We have extended the density matrix renormalization group (DMRG) approach to two-fluid open many-fermion systems governed by complex-symmetric Hamiltonians. The applications are carried out for three- and four-nucleon (proton-neutron) systems within the Gamow Shell Model (GSM) in the complex-energy plane. We study necessary and sufficient conditions for the GSM+DMRG method to yield the correct ground state eigenvalue and discuss different truncation schemes within DMRG. The proposed approach will enable configuration interaction studies of weakly bound and unbound strongly interacting complex systems which, because of a prohibitively large size of Fock space, cannot be treated by means of the direct diagonalization.

Authors:
 [1];  [2];  [3];  [4];  [5]
  1. University of Tennessee, Knoxville (UTK) & Oak Ridge National Laboratory (ORNL)
  2. Kyoto University, Japan
  3. ORNL
  4. Grand Accelerateur National d'Ions Lourds (GANIL)
  5. Instituto de Estructura de la Materia, CSIC, Madrid, Spain
Publication Date:
Research Org.:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF); Holifield Radioactive Ion Beam Facility
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
963685
DOE Contract Number:  
DE-AC05-00OR22725
Resource Type:
Journal Article
Journal Name:
Physical Review C
Additional Journal Information:
Journal Volume: 79; Journal Issue: 1
Country of Publication:
United States
Language:
English

Citation Formats

Rotureau, J., Michel, N., Nazarewicz, Witold, Ploszajczak, M., and Dukelsky, J. Density Matrix Renormalization Group Approach to Two-Fluid Open Many-Fermion Systems. United States: N. p., 2009. Web. doi:10.1103/PhysRevC.79.014304.
Rotureau, J., Michel, N., Nazarewicz, Witold, Ploszajczak, M., & Dukelsky, J. Density Matrix Renormalization Group Approach to Two-Fluid Open Many-Fermion Systems. United States. doi:10.1103/PhysRevC.79.014304.
Rotureau, J., Michel, N., Nazarewicz, Witold, Ploszajczak, M., and Dukelsky, J. Thu . "Density Matrix Renormalization Group Approach to Two-Fluid Open Many-Fermion Systems". United States. doi:10.1103/PhysRevC.79.014304.
@article{osti_963685,
title = {Density Matrix Renormalization Group Approach to Two-Fluid Open Many-Fermion Systems},
author = {Rotureau, J. and Michel, N. and Nazarewicz, Witold and Ploszajczak, M. and Dukelsky, J.},
abstractNote = {We have extended the density matrix renormalization group (DMRG) approach to two-fluid open many-fermion systems governed by complex-symmetric Hamiltonians. The applications are carried out for three- and four-nucleon (proton-neutron) systems within the Gamow Shell Model (GSM) in the complex-energy plane. We study necessary and sufficient conditions for the GSM+DMRG method to yield the correct ground state eigenvalue and discuss different truncation schemes within DMRG. The proposed approach will enable configuration interaction studies of weakly bound and unbound strongly interacting complex systems which, because of a prohibitively large size of Fock space, cannot be treated by means of the direct diagonalization.},
doi = {10.1103/PhysRevC.79.014304},
journal = {Physical Review C},
number = 1,
volume = 79,
place = {United States},
year = {2009},
month = {1}
}

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