Quantum Phase Transitions in the Interacting Boson Model: Integrability, level repulsion and level crossing

Details Quantum Phase Transitions in the Interacting Boson Model: Integrability, level repulsion and level crossing Quantum Phase Transitions in the Interacting Boson Model: Integrability, level repulsion and level crossing

2003-09-02

arxiv.org/abs/nucl-th/0309004v1

Phys.Rev.Lett. 91 (2003) 162502

Physics

Nuclear Physics

Nuclear Theory

Accepted in PRL

Scientific paper

10.1103/PhysRevLett.91.162502

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.

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