{ "id": "nucl-th/0309004", "version": "v1", "published": "2003-09-02T06:37:43.000Z", "updated": "2003-09-02T06:37:43.000Z", "title": "Quantum Phase Transitions in the Interacting Boson Model: Integrability, level repulsion and level crossing", "authors": [ "J. M. Arias", "J. Dukelsky", "J. E. Garcia-Ramos" ], "comment": "Accepted in PRL", "journal": "Phys.Rev.Lett. 91 (2003) 162502", "doi": "10.1103/PhysRevLett.91.162502", "categories": [ "nucl-th", "cond-mat", "quant-ph" ], "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.", "revisions": [ { "version": "v1", "updated": "2003-09-02T06:37:43.000Z" } ], "analyses": { "keywords": [ "interacting boson model", "level crossing", "level repulsion", "integrability", "quantum phase transition mechanisms" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. Lett." }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "inspire": 627095 } } }