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Phase diagram of the two-fluid Lipkin model: A "butterfly" catastrophe

Opened Access Phase diagram of the two-fluid Lipkin model: A "butterfly" catastrophe

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Autor: García Ramos, José Enrique
Pérez Fernández, P.
Arias Carrasco, José Miguel
Freire, E.
Departamento: Universidad de Sevilla. Departamento de Física Atómica, Molecular y Nuclear
Fecha: 2016-03-31
Publicado en: Physical Review C - Nuclear Physics, 93 (3), 034336-1-034336-14.
Tipo de documento: Artículo
Resumen: Background: In the past few decades quantum phase transitions have been of great interest in nuclear physics. In this context, two-fluid algebraic models are ideal systems to study how the concept of quantum phase transition evolves when moving into more complex systems, but the number of publications along this line has been scarce up to now. Purpose: We intend to determine the phase diagram of a two-fluid Lipkin model that resembles the nuclear proton-neutron interacting boson model Hamiltonian using both numerical results and analytic tools, i.e., catastrophe theory, and compare the mean-field results with exact diagonalizations for large systems. Method: The mean-field energy surface of a consistent-Q-like two-fluid Lipkin Hamiltonian is studied and compared with exact results coming from a direct diagonalization. The mean-field results are analyzed using the framework of catastrophe theory. Results: The phase diagram of the model is obtained and the order of the different phase-t...
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Cita: García Ramos, J.E., Pérez Fernández, P., Arias Carrasco, J.M. y Freire, E. (2016). Phase diagram of the two-fluid Lipkin model: A butterfly catastrophe. Physical Review C - Nuclear Physics, 93 (3), 034336-1-034336-14.
Tamaño: 1.554Mb
Formato: PDF

URI: http://hdl.handle.net/11441/64232

DOI: 10.1103/PhysRevC.93.034336

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