Scalar two-level boson model to study the interacting boson model phase diagram in the Casten triangle

2006/02/28 by J. Vidal, Julien Vidal, J. M. Arias +3
Mathematics · Physics and Astronomy · #Boson #Cold Atom Physics and Bose-Einstein Condensates #Geometry #Hamiltonian (control theory) #Interacting boson model #Mathematics #Phase (matter) #Phase diagram #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Scalar (mathematics) #Scalar boson #Theoretical and Computational Physics #Vector boson #cond-mat.stat-mech #nucl-th

paper · pdf · doi:10.1103/physrevc.73.054305

published as Phys. Rev. C 73, 054305 (2006) · 6 pages, 6 figures, published version

openalex publication_date 2006/05/05 · arxiv created 2006/05/09 · arxiv updated 2009/12/01 · openalex created_date 2017/05/26 · openalex updated_date 2026/08/05

Abstract

We introduce a simple two-level boson model with the same energy surface as the Q-consistent interacting boson model Hamiltonian. The model can be diagonalized for large number of bosons and the results used to check analytical finite-size corrections to the energy gap and the order parameter in the critical region.

Citations

• New Mechanism for the Enhancement ofsdDominance in Interacting Boson Models
• Finite-Size Scaling Exponents of the Lipkin-Meshkov-Glick Model
• Continuous unitary transformations and finite-size scaling exponents in the Lipkin-Meshkov-Glick model
• Finite-size scaling exponents in the interacting boson model
• Field Dependence of the Intrinsic Domain Magnetization of a Ferromagnet