title: Complexity measure and quantum shape-phase transitions in the two-dimensional limit of the vibron model.
abstract: We obtain a characterization of quantum shape-phase transitions in the terms of complexity measures in the two-dimensional limit of the vibron model based on the spectrum generating algebra U(3). Complexity measures (in terms of the Rényi entropies) have been calculated for different values of the control parameter for the ground state of this model giving sharp signatures of the quantum shape-phase transition from linear to bent molecules.
authors.affiliation: Instituto Carlos I de Fisica Teorica y Computacional, Universidad de Granada, Fuentenueva s/n, 18071, Granada, Spain, eromera@ugr.es.
authors.forename: Elvira
authors.initials: E
authors.lastname: Romera
authors.forename: Manuel
authors.initials: M
authors.lastname: Calixto
authors.forename: Ágnes
authors.initials: Á
authors.lastname: Nagy