RT Conference Proceedings
T1 Quantum Phase Transitions in Coupled Systems :  an application of Catastrophe Theory
A1 García Ramos, José Enrique
A1 Arias Carrasco, José Miguel
A1 Freire, Emilio
AB 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.
YR 2015
FD 2015
LK http://hdl.handle.net/10272/11133
UL http://hdl.handle.net/10272/11133
LA eng
NO Charla presentada al Curso intensivo y Workshop de Física Matemática (Sevilla, 29 de junio - 10 de julio de 2015)
DS Repositorio Institucional de la Universidad de Huelva
RD 30 may 2026