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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.
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http://hal.in2p3.fr/in2p3-00348461
Contributor : Michel Lion <>
Submitted on : Friday, December 19, 2008 - 10:38:19 AM
Last modification on : Thursday, July 2, 2020 - 2:10:34 PM

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Denis Lacroix. Density Matrix Functional Theory for the Lipkin model. Physical Review C, American Physical Society, 2009, 79, pp.014301. ⟨10.1103/PhysRevC.79.014301⟩. ⟨in2p3-00348461⟩

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