Combining the in-medium similarity renormalization group with the density matrix renormalization group: Shell structure and information entropy

Abstract

We propose a novel many-body framework combining the density matrix renormalization group (DMRG) with the valence-space (VS) formulation of the in-medium similarity renormalization group. This hybrid scheme admits for favorable computational scaling in large-space calculations compared to direct diagonalization. The capacity of the VS-DMRG approach is highlighted in ab initio calculations of neutron-rich nickel isotopes based on chiral two- and three-nucleon interactions, and allows us to perform converged ab initio computations of ground and excited state energies. We also study orbital entanglement in the VS-DMRG, and investigate nuclear correlation effects in oxygen, neon, and magnesium isotopes. The explored entanglement measures reveal nuclear shell closures as well as pairing correlations.

5 pages, 4 Figures, version published at Phys. Lett. B

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• Entanglement entropy of nuclear systems
• Quantum entanglement patterns in the structure of atomic nuclei within the nuclear shell model
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• Quantum Magic and Multi-Partite Entanglement in the Structure of Nuclei
• Towards heavy-mass ab initio nuclear structure: Open-shell Ca, Ni and Sn isotopes from Bogoliubov coupled-cluster theory
• Improved structure of calcium isotopes from ab initio calculations
• Toward experimental determination of spin entanglement of nucleon pairs
• Quantum Simulations of SO(5) Many-Fermion Systems using Qudits
• Spectroscopy of N=50 isotones with the valence-space density matrix renormalization group
• Quantum Complexity Fluctuations from Nuclear and Hypernuclear Forces
• Least-square approach for singular value decompositions of scattering problems
• Complete Active Space Iterative Coupled Cluster Theory
• A Quantum Annealing Protocol to Solve the Nuclear Shell Model
• Non-Markovian character and irreversibility of real-time quantum many-body dynamics
• Global Framework for Emulation of Nuclear Calculations
• Monopole and Seniority Truncations in the Large-Scale Configuration Interaction Shell Model Approach
• Randomized Low-Rank Decompositions of Nuclear Three-Body Interactions
• Ab initio calculations of beta-decay half-lives for $N=50$ neutron-rich nuclei
• Study of entanglement in Ne, Mg, and Si isotopic chains
• Ab initio study in the island of inversion within the two-major-shell valence space
• In-Medium Similarity Renormalization Group at Finite Temperature