Evolution of spectral properties along the O(6)-U(5) transition in the interacting boson model. I. Level dynamics
arXiv:nucl-th/0504016 · doi:10.1103/PhysRevC.73.014306
Abstract
We investigate the evolution of quantal spectra and the corresponding wave functions along the [O(6)-U(5)]O(5) transition of the interacting boson model. The model is integrable in this regime and its ground state passes through a second-order structural phase transition. We show that the whole spectrum as a function of the Hamiltonian control parameter, as well as structures of all excited states, exhibit rather organized and correlated behaviors, that provide deeper insight into the nature of this transitional path.
arXiv comment10 pages, 8 figures
References in corpus (8)
- Quasi dynamical symmetry in an interacting boson model phase transition
- The U(5)-O(6) transition in the Interacting Boson Model and the E(5) critical point symmetry
- Quantum Phase Transitions in the Interacting Boson Model: Integrability, level repulsion and level crossing
- Thermodynamic analogy for quantum phase transitions at zero temperature
- Wave-function entropy and dynamical-symmetry breaking in the interacting boson model
- Evolution of spectral properties along the O(6)-U(5) transition in the interacting boson model. II. Classical trajectories
- New mechanism for the enhancement of dominance in interacting boson models
- Correlations in quantum systems and branch points in the complex plane
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