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Two-level interacting boson models beyond the mean field

2006/09/01 by J. M. Arias, J. Dukelsky, J. E. García-Ramos +3 · 3 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Nuclear physics research studies #Quantum Chromodynamics and Particle Interactions #cond-mat.stat-mech #nucl-th

paper · pdf · doi:10.1103/physrevc.75.014301

published as Phys.Rev.C75:014301,2007 · 14 pages, 13 figures

arxiv created 2006/09/01 · openalex publication_date 2007/01/02 · arxiv updated 2010/05/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

The phase diagram of two-level boson Hamiltonians, including the interacting boson model (IBM), is studied beyond the standard mean field approximation using the Holstein-Primakoff mapping. The limitations of the usual intrinsic state (mean field) formalism concerning finite-size effects are pointed out. The analytic results are compared to numerics obtained from exact diagonalizations. Excitation energies and occupation numbers are studied in different model space regions (Casten triangle for IBM) and especially at the critical points.

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