English

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

Nuclear Theory 2009-11-10 v1 Condensed Matter Quantum Physics

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.

Keywords

Cite

@article{arxiv.nucl-th/0309004,
  title  = {Quantum Phase Transitions in the Interacting Boson Model: Integrability, level repulsion and level crossing},
  author = {J. M. Arias and J. Dukelsky and J. E. Garcia-Ramos},
  journal= {arXiv preprint arXiv:nucl-th/0309004},
  year   = {2009}
}

Comments

Accepted in PRL

R2 v1 2026-07-22T18:30:08.582Z