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

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...

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Detalhes bibliográficos
Autores: Arias Carrasco, José Miguel, Dukelsky, Jorge, García Ramos, José Enrique
Tipo de documento: artigo
Estado:Versão publicada
Data de publicação:2003
País:España
Recursos:Universidad de Sevilla (US)
Repositório:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/62800
Acesso em linha:http://hdl.handle.net/11441/62800
https://doi.org/10.1103/PhysRevLett.91.162502
Access Level:Acceso aberto
Descrição
Resumo: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.