Quantum phase transitions in the interacting boson model: integrability, level repulsion, and level crossing.

@article{Arias2003QuantumPT,
  title={Quantum phase transitions in the interacting boson model: integrability, level repulsion, and level crossing.},
  author={J. M. Arias and Jorge Dukelsky and Jos{\'e} Enrique Garcı́a-Ramos},
  journal={Physical review letters},
  year={2003},
  volume={91 16},
  pages={
          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. 
Quantum phase transitions in the consistent-Q Hamiltonian of the interacting boson model
Quantum phase transitional patterns in the whole parameter space of the consistent-Q Hamiltonian in the interacting boson model are studied based on an implemented Fortran code for the numerical
QUANTUM PHASE TRANSITIONAL BEHAVIOR IN THE EXTENDED CASTEN TRIANGLE OF THE INTERACTING BOSON MODEL
Quantum phase transitional patterns in the whole parameter space of the consistent-Q Hamiltonian in the Interacting Boson Model are studied based on an implemented Fortran code for numerical
Lie algebra symmetries and quantum phase transitions in nuclei
In this paper, an overview of some aspects of quantum phase transitions (QPT) in nuclei is given and they are: (i) QPT in interacting boson model (sdIBM), (ii) QPT in two-level models, (iii) critical
Quantum phase transitions in the interacting boson model
Abstract This review is focused on various properties of quantum phase transitions (QPTs) in the Interacting Boson Model (IBM) of nuclear structure. The model describes collective modes of motions in
Evolution of spectral properties along the O(6)-U(5) transition in the interacting boson model. I. Level dynamics
We investigate the evolution of quantal spectra and the corresponding wave functions along the [O(6)-U(5)] superset of O(5) transition of the interacting boson model. The model is integrable in this
Finite-size scaling exponents in the interacting boson model
We investigate the finite-size scaling exponents for the critical point at the shape-phase transition from U(5) (spherical) to O(6) (deformed {gamma}-unstable) dynamical symmetries of the interacting
Quantum phase crossovers with finite atom number in the Dicke model
Two-level atoms interacting with a one-mode cavity field at zero temperature have order parameters which reflect the presence of a quantum phase transition at a critical value of the atom–cavity
An Alternative Description of the Prolate-Oblate Shape Phase Transition in the Interacting Boson Model
The prolate-oblate shape phase transition in the interacting boson model is investigated for finite N as well as in the large-N classical limit by adopting the Hamiltonian with a linear dependence on
Phase transitions and quasi-dynamical symmetry in nuclear collective models, III: The U(5) to SU(3) phase transition in the IBM
Abstract This paper studies the dependence of the U(5) to SU(3) phase transition in the interacting boson model (IBM) on the finite number N of bosons. Such investigations illuminate the relationship
Some observables as an indication of atomic nuclear shape phase transition
Using interacting boson model, shape phase transitions from U(5) to O(6) and from U(5) to SU(3) are studied in the space of two control parameters. Some simple shape phase diagrams in terms of the
...
1
2
3
4
...

References

SHOWING 1-10 OF 32 REFERENCES
THE INTERACTING BOSON MODEL
This chapter examines the algebraic and geometric properties of the interacting boson model-1, and reviews the interacting boson model-2. Explains that the model was originally introduced with only
"J."
however (for it was the literal soul of the life of the Redeemer, John xv. io), is the peculiar token of fellowship with the Redeemer. That love to God (what is meant here is not God’s love to men)
The Interacting Boson Model (Cambridge
  • 1987
A 35
  • 7525
  • 2002
J. Phys A: Math. Gen
  • J. Phys A: Math. Gen
  • 2002
Phys. Rev. C
  • Phys. Rev. C
  • 2002
Phys. Rev. Lett
  • Phys. Rev. Lett
  • 2002
C
  • Esebbag, and P. Schuck, Phys. Rev. Lett. 87, 066403
  • 2001
P
  • von Brentano, and V. Werner, Phys. Rev. Lett. 87, 162501
  • 2001
Phys
  • Rev. Lett. 86, 4791
  • 2001
...
1
2
3
4
...