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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.
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http://hal.in2p3.fr/in2p3-00327096
Contributor : Michel Lion <>
Submitted on : Tuesday, October 7, 2008 - 1:26:48 PM
Last modification on : Saturday, December 26, 2020 - 1:46:04 PM

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J. Rotureau, N. Michel, W. Nazarewicz, M. Ploszajczak, J. Dukelsky. Density matrix renormalization group approach to two-fluid open many-fermion systems. Physical Review C, American Physical Society, 2009, 79, pp.014304. ⟨10.1103/PhysRevC.79.014304⟩. ⟨in2p3-00327096⟩

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