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

J. Rotureau, N. Michel, W. Nazarewicz, M. Płoszajczak, and J. Dukelsky

Phys. Rev. C 79, 014304 – Published 15 January 2009

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 the 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.

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Received 4 October 2008

DOI:https://doi.org/10.1103/PhysRevC.79.014304

Authors & Affiliations

J. Rotureau^1,2,3, N. Michel^4,5, W. Nazarewicz^1,2,6, M. Płoszajczak⁷, and J. Dukelsky⁸

¹Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37996, USA
²Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
³Joint Institute for Heavy Ion Research, Oak Ridge National Laboratory, P. O. Box 2008, Oak Ridge, Tennessee 37831, USA
⁴Department of Physics, Graduate School of Science, Kyoto University, Kitashirakawa, Kyoto 606-8502, Japan
⁵CEA, Centre de Saclay, IRFU/Service de Physique Nucléaire, F-91191 Gif-sur-Yvette, France
⁶Institute of Theoretical Physics, University of Warsaw, ul. Hoża 69, PL-00-681 Warsaw, Poland
⁷Grand Accélérateur National d'Ions Lourds (GANIL), CEA/DSM-CNRS/IN2P3, Boîte Postale 55027, F-14076 Caen Cedex, France
⁸Instituto de Estructura de la Materia, CSIC, Serrano 123, E-28006 Madrid, Spain

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Vol. 79, Iss. 1 — January 2009

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Physical Review C

covering nuclear physics