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

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

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.