Energy functional for the three-level Lipkin model

Abstract

We compute the energy functional of a three-level Lipkin model via a Legrendre transform and compare exact numerical results with analytical solutions obtained from the random phase approximation (RPA). Except for the region of the phase transition, the RPA solutions perform very well. We also study the case of three non-degenerate levels and again find that the RPA solution agrees well with the exact numerical result. For this case, the analytical results give us insight into the form of the energy functional in the presence of symmetry-breaking one-body potentials.

6 pages, 5 figures

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Cited by in corpus (8)

• Toward ab initio density functional theory for nuclei
• Lipkin model on a quantum computer
• Turning the nuclear energy density functional method into a proper effective field theory: reflections
• Description of Pairing correlation in Many-Body finite systems with density functional theory
• Occupation number-based energy functional for nuclear masses
• Density Matrix Functional Theory for the Lipkin model
• Correlation Testing in Nuclear Density Functional Theory
• Extended Lipkin-Meshkov-Glick Hamiltonian