@conference{10272/11133,
year = {2015},
url = {http://hdl.handle.net/10272/11133},
abstract = {Two-fluid algebraic models are of great interest in the context of quantum phase transition in nuclei. We intend to study the phase diagram of a two-fluid Lipkin model that resembles a nuclear proton-neutron interacting boson model Hamiltonian. We study the mean-field energy surface of a consistent-Q like two-fluid Lipking Hamiltonian and we compare with exact results coming from a direct diagonalization. We obtain the phase diagram of the model, identifying the order of the different phase-transition lines and surfaces using  a Catastrophe Theory analysis. We found that there are two first order surfaces, one separating the spherical and the deformed shape, while the other separating the ``oblate'' and the "prolate" phases. We also found a  second order line finishing in a third order phase transition point.},
title = {Quantum Phase Transitions in Coupled Systems :  an application of Catastrophe Theory},
author = {García Ramos, José Enrique and Arias Carrasco, José Miguel and Freire, Emilio},
}