Quantum phase transitions in the consistent-Q Hamiltonian of the interacting boson model
Quantum phase transitional patterns in the whole parameter space of the consistent-Q Hamiltonian in the interacting boson model are studied based on an implemented Fortran code for the numerical computation of the matrix elements in the SU(3) Draayer-Akiyama basis. Results with respect to both ground and some excited states of the model Hamiltonian are discussed. Quantum phase transitional behavior in a variety of parameter situations is shown. It is found that transitional behavior of excited states is more complicated. Pt isotopes are taken as examples in illustrating the prolate-oblate shape phase transition. © 2008 IOP Publishing Ltd.