Density Matrix Functional Theory for the Lipkin model

Abstract

A Density Matrix Functional theory is constructed semi-empirically for the two-level Lipkin model. This theory, based on natural orbitals and occupation numbers, is shown to provide a good description for the ground state energy of the system as the two-body interaction and particle number vary. The application of Density Matrix Functional theory to the Lipkin model illustrates that it could be a valuable tool for systems presenting a shape phase-transition such as nuclei. The improvement of one-body observables description as well as the interest for Energy Density Functional theory are discussed.

9 pages, 7 figures, to appear in Physical Review C

References in corpus (12)

• The Skyrme Interaction in finite nuclei and nuclear matter
• Finite-Size Scaling Exponents of the Lipkin-Meshkov-Glick Model
• A natural orbital functional for the many-electron problem
• Particle-Number Projection and the Density Functional Theory
• Empirical Functionals for Reduced Density Matrix Functional Theory
• Benchmark calculations for reduced density-matrix functional theory
• Improved tensor-product expansions for the two-particle density matrix
• Performance of one-body reduced density matrix functionals for the homogeneous electron gas
• Open shells in reduced-density-matrix-functional theory
• Beyond mean-field study of excited states: Analysis within the Lipkin model
• Density-functional theory for the pairing Hamiltonian
• Energy functional for the three-level Lipkin model

Cited by in corpus (6)

• Lipkin model on a quantum computer
• Density-matrix functionals for pairing in mesoscopic superconductors
• Occupation number-based energy functional for nuclear masses
• Extended Lipkin-Meshkov-Glick Hamiltonian
• Natural orbitals representation and Fermi sea depletion in finite nuclei and nuclear matter
• Density functional for pairing with particle number conservation