Density matrix renormalization group and wave function factorization for nuclei

Abstract

We employ the density matrix renormalization group (DMRG) and the wave function factorization method for the numerical solution of large scale nuclear structure problems. The DMRG exhibits an improved convergence for problems with realistic interactions due to the implementation of the finite algorithm. The wave function factorization of fpg-shell nuclei yields rapidly converging approximations that are at the present frontier for large-scale shell model calculations.

Proceedings: INT Workshop on "Nuclear forces and the quantum many-body problem", Oct. 2004. Typos corrected

References in corpus (14)

• The density-matrix renormalization group
• Properties of ${}^{12}$C in the {\it ab initio} nuclear shell-model
• Effective interaction for pf-shell nuclei
• A Full $PF$ Shell Model Study of a~=~48 Nuclei
• Shell Model Study of the Double Beta Decays of ${}^{76}$Ge, ${}^{82}$Se and ${}^{136}$Xe
• New T=1 effective interactions for the f5/2 p3/2 p1/2 g9/2 model space; Implications for valence-mirror symmetry and seniority isomers
• Full $0\hslash \omega$ shell model calculation of the binding energies of the $1f_{7/2}$ nuclei
• Density-matrix renormalization-group method in momentum space
• The Density Matrix Renormalization Group for finite Fermi systems
• Truncation Method for the Shell Model Calculation
• The Density Matrix Renormalization Group Method and Large-Scale Nuclear Shell-Model Calculations
• Factorization of shell-model ground-states
• Solution of large scale nuclear structure problems by wave function factorization
• A mixed-mode shell-model theory for nuclear structure studies

Cited by in corpus (24)

• New Trends in Density Matrix Renormalization
• Factorization in large-scale many-body calculations
• Density matrix renormalization group approach for many-body open quantum systems
• Living on the edge of stability, the limits of the nuclear landscape
• Advanced density matrix renormalization group method for nuclear structure calculations
• Combining the in-medium similarity renormalization group with the density matrix renormalization group: Shell structure and information entropy
• Nuclear Forces for Precision Nuclear Physics -- a collection of perspectives
• Density matrix renormalization group approach to two-fluid open many-fermion systems
• Quantum Simulations in Effective Model Spaces (I): Hamiltonian Learning-VQE using Digital Quantum Computers and Application to the Lipkin-Meshkov-Glick Model
• BIGSTICK: A flexible configuration-interaction shell-model code (updated)
• Density Matrix Renormalization Group and the Nuclear Shell Model
• Multi-Body Entanglement and Information Rearrangement in Nuclear Many-Body Systems
• Quantum Magic and Multi-Partite Entanglement in the Structure of Nuclei
• Low-lying spectroscopy of a few even-even silicon isotopes investigated by means of the multiparticle-multihole Gogny energy density functional
• Large-scale shell-model calculations on the spectroscopy of $N<126$ Pb isotopes
• Density matrix renormalization group for bosonic quantum Hall effect
• Density matrix renormalization group description of the island of inversion isotopes ${}^{28-33}$F
• Weak entanglement approximation for nuclear structure
• Quantum Complexity Fluctuations from Nuclear and Hypernuclear Forces
• Least-square approach for singular value decompositions of scattering problems
• Randomized Low-Rank Decompositions of Nuclear Three-Body Interactions
• The Density Matrix Renormalization Group and the Nuclear Shell Model
• Many-body perturbation theory for strongly correlated effective Hamiltonians using effective field theory methods
• Matrix-product state approach to the generalized nuclear pairing Hamiltonian