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.

13 pages, 15 figures

References in corpus (32)

• The density-matrix renormalization group
• Ab Initio Quantum Chemistry using the Density Matrix Renormalization Group
• Orbital Optimization in the Density Matrix Renormalization Group, with applications to polyenes and β-carotene
• New Trends in Density Matrix Renormalization
• Gamow Shell Model Description of Neutron-Rich Nuclei
• Controlling the accuracy of the density matrix renormalization group method: The Dynamical Block State Selection approach
• The Non-Abelian Density Matrix Renormalization Group Algorithm
• Two-Particle Resonant States in a Many-Body Mean Field
• Gamow Shell Model Description of Weakly Bound Nuclei and Unbound Nuclear States
• Shell Structure of Exotic Nuclei
• Ground state phase diagram of 2D electrons in a high Landau level: - DMRG study
• Continuum Shell Model
• Density Matrix Renormalization Group Study of Incompressible Fractional Quantum Hall States
• A Density Matrix Renormalization Group Study of Ultrasmall Superconducting Grains
• Density Matrix Renormalization Group and Reaction-Diffusion Processes
• Study of the ${}^{7}Be(p,\gamma {)}^{8}B$ and ${}^{7}Li(n,\gamma {)}^{8}Li$ capture reactions using the shell model embedded in the continuum
• Theory of the two-proton radioactivity in the continuum shell model
• Theoretical Aspects of Science with Radioactive Nuclear Beams
• Proton-Neutron Coupling in the Gamow Shell Model: the Lithium Chain
• Density matrix renormalization group approach for many-body open quantum systems
• Gamow shell model and realistic nucleon-nucleon interactions
• Analysis of the 16O(p,gamma)17F capture reaction using the shell model embedded in the continuum
• Microscopic theory of the two-proton radioactivity
• The Density Matrix Renormalization Group for finite Fermi systems
• Shell model in the complex energy plane and two-particle resonances
• The Density Matrix Renormalization Group Method and Large-Scale Nuclear Shell-Model Calculations
• Density matrix renormalization group and wave function factorization for nuclei
• Density Matrix Renormalization Group and the Nuclear Shell Model
• Density Matrix Renormalization Group study of ${}^{48}$Cr and ${}^{56}$Ni
• Antibound States and Halo Formation in the Gamow Shell Model
• Josephson effect between superconducting nanograins with discrete energy levels
• A generation-based particle-hole density-matrix renormalization group study of interacting quantum dots

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• Isospin mixing and the continuum coupling in weakly bound nuclei
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• Continuum effects in neutron-drip-line oxygen isotopes
• Open problems in theory of nuclear open quantum systems
• Nuclear Forces for Precision Nuclear Physics -- a collection of perspectives
• The quest for light multineutron systems
• Asymptotic normalization coefficients and continuum coupling in mirror nuclei
• Multi-Body Entanglement and Information Rearrangement in Nuclear Many-Body Systems
• Energy Spectrum of Neutron-Rich Helium Isotopes: Complex Made Simple
• Single-particle and collective motion in unbound deformed ${}^{39}\text{Mg}$
• Quantum Magic and Multi-Partite Entanglement in the Structure of Nuclei
• Description of proton-rich nuclei in the $A\sim 20$ region with the Gamow shell model
• Gamow Shell Model description of Li isotopes and their mirror partners
• Nuclear three-body problem in the complex energy plane: Complex-Scaling-Slater method
• Density matrix renormalization group description of the island of inversion isotopes ${}^{28-33}$F
• Search for excited states in ${}^{25}$O
• Quantum Complexity Fluctuations from Nuclear and Hypernuclear Forces
• SS-HORSE Extension of the No-Core Shell Model: Application to Resonances in ${}^7\mathrm{H}e$
• Quantum adiabatic brachistochrone for open systems
• Many-body perturbation theory for strongly correlated effective Hamiltonians using effective field theory methods