English

Density matrix renormalization group approach to two-fluid open many-fermion systems

Nuclear Theory 2009-01-22 v1

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.

Keywords

Cite

@article{arxiv.0810.0784,
  title  = {Density matrix renormalization group approach to two-fluid open many-fermion systems},
  author = {J. Rotureau and N. Michel and W. Nazarewicz and M. Ploszajczak and J. Dukelsky},
  journal= {arXiv preprint arXiv:0810.0784},
  year   = {2009}
}

Comments

13 pages, 15 figures

R2 v1 2026-06-21T11:27:23.068Z