Published October 17, 2003
| Version v1
Journal article
Quantum phase transitions in the interacting boson model: Integrability, level repulsion, and level crossing
Creators
- 1. Departamento de Fisica Atomica, Molecular y Nuclear, Facultad de Fisica, Universidad de Sevilla, Apartado 1065, 41080 Sevilla (Spain)
- 2. Instituto de Estructura de la Materia, CSIC, Serrano 123, 28006 Madrid (Spain)
- 3. Departamento de Fisica Aplicada, Universidad de Huelva, 21071 Huelva (Spain)
Description
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
Additional details
Identifiers
- DOI
- 10.1103/PhysRevLett.91.162502;
- arXiv
- arXiv:nucl-th/0309004v1;
Publishing Information
- Journal Title
- Physical Review Letters
- Journal Volume
- 91
- Journal Issue
- 16
- Journal Page Range
- p. 162502-162502.4
- ISSN
- 0031-9007
- CODEN
- PRLTAO
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 36009658
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; S36: MATERIALS SCIENCE; S73: NUCLEAR PHYSICS AND RADIATION PHYSICS;
- Descriptors DEI
- COLLECTIVE EXCITATIONS; HAMILTONIANS; INTERACTING BOSON MODEL; O GROUPS; PHASE TRANSFORMATIONS; UNITARY SYMMETRY
- Descriptors DEC
- DYNAMICAL GROUPS; ENERGY-LEVEL TRANSITIONS; EXCITATION; LIE GROUPS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; NUCLEAR MODELS; QUANTUM OPERATORS; SHELL MODELS; SYMMETRY; SYMMETRY GROUPS
Optional Information
- Notes
- (c) 2003 The American Physical Society