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Quantum phase transitions in the interacting boson model: Integrability, level repulsion, and level crossing

 

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Opened Access Quantum phase transitions in the interacting boson model: Integrability, level repulsion, and level crossing
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Author: Arias Carrasco, José Miguel
Dukelsky, Jorge
García Ramos, José Enrique
Department: Universidad de Sevilla. Departamento de Física Atómica, Molecular y Nuclear
Date: 2003-10-17
Published in: Physical Review Letters, 91 (16), 162502-1-162502-4.
Document type: Article
Abstract: We study the quantum phase transition mechanisms that arise in the interacting boson model. We show that the second-order nature of the phase transition from U(5) to O(6) may be attributed to quantum integrability, whereas all the first-order phase transitions of the model are due to level repulsion with one singular point of level crossing. We propose a model Hamiltonian with a true first-order phase transition for finite systems due to level crossings.
Cite: Arias Carrasco, J.M., Dukelsky, J. y García Ramos, J.E. (2003). Quantum phase transitions in the interacting boson model: Integrability, level repulsion, and level crossing. Physical Review Letters, 91 (16), 162502-1-162502-4.
Size: 163.4Kb
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URI: http://hdl.handle.net/11441/62800

DOI: 10.1103/PhysRevLett.91.162502

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