We establish a novel procedure to analyze the entanglement properties of extremal density matrice... more We establish a novel procedure to analyze the entanglement properties of extremal density matrices depending on the parameters of a finite dimensional Hamiltonian. It was applied to a general 2-qubit Hamiltonian which could exhibit Kramers degeneracy. This is done through the extremal density matrix formalism, which allows to extend the conventional variational principle to mixed states. By applying the positive partial transpose criterion in terms of the Correlation and Schlienz-Mahler matrices on the extremal density matrices, we demonstrate that it is possible to reach both pure and mixed entangled states, changing properly the parameters of the Hamiltonian. For time-reversal invariant Hamiltonians, the extremal pure states can be entangled or not and we prove that they are not time-reversal invariants. For extremal mixed states we have in general 5 possible cases: three of them are entangled and the other two separable.
Computational and Group-Theoretical Methods in Nuclear Physics, 2004
The pick-up reaction 196{Pt}(vec d,t)195{Pt} has been recently the object of a detailed experimen... more The pick-up reaction 196{Pt}(vec d,t)195{Pt} has been recently the object of a detailed experimental study1. Its main interest is to test if the nuclear dynamical supersymmetry (SUSY) is a valid model to describe nuclei in this region. We compare the spectroscopic strengths obtained with different forms of the transfer operator and show that by introducing some parameters to weigh the
The pseudo SU(3) model is shown to be a powerful scheme for describing the excitation spectra as ... more The pseudo SU(3) model is shown to be a powerful scheme for describing the excitation spectra as well asB(E2) andB(M1) transition strengths in heavy deformed nuclei. It is also useful for describing double beta decay amplitudes for transitions from the ground state of an even-even nucleus to the ground and excited states of the daughter nucleus, both for the two
Resumen en: The low energy spectra, electric quadrupole transitions, and quadrupole moments for t... more Resumen en: The low energy spectra, electric quadrupole transitions, and quadrupole moments for the germanium isotopes are determined in the formalism of the IBM-2 w...
A procedure to study shapes and stability of algebraic models introduced by Gilmore is presented.... more A procedure to study shapes and stability of algebraic models introduced by Gilmore is presented. According to tbe time dependent variational principie the coherent states, for al- gebraic models, are appropriate trial wavefunctions. Qne calculates the expectation vaJue of the Hamiltonian with respect to the corresponding coherent states to study the energy surfaces of the mode!. Tben equilibrium configurations of the resulting energy surface, which depends in general on state variables and a set of parameters, are classified through the catastrophe theory. For one and two-body interactions in the Hamiltonian of the interacting basan model (IBA-l), the critical points are organized through the separatrix. As an example, we apply this separatrix to describe the energy surfaces associated to the dynamical symmetries of the IBA-l, and to the effective hamiltonians of the Ru, Os and Sm isotopes. RESUMEN. Presentamos un procedimiento establecido por Gilmore para estudiar las formas y es-...
We report on recent experiments performed at the HRIBF of Oak Ridge National Laboratory (ORNL) ai... more We report on recent experiments performed at the HRIBF of Oak Ridge National Laboratory (ORNL) aimed to study neutron-rich nuclei in the A 80 mass region. First time use of Radioactive Ion Beams (RIBs) (78,80)Ge complemented with stable beam information allowed a systematic study of B(E2)-values that characterize the n-rich even-even Ge and Se isotopes. A comparison of the experimental
The potential-energy-surface concept of the generalized collective model is given a shell-model i... more The potential-energy-surface concept of the generalized collective model is given a shell-model interpretation. For deformations less than the equilibrium value, ..beta.. ..beta../sub 0/ is shown to be an intershell phenomenon that depends on competition between major shell excitation energies and the binding energy of the residual interaction. The exclusion principle plays an essential role in the argument. Results for /sup 24/Mg illustrate the necessity of an open-shell picture.
We establish a novel procedure to analyze the entanglement properties of extremal density matrice... more We establish a novel procedure to analyze the entanglement properties of extremal density matrices depending on the parameters of a finite dimensional Hamiltonian. It was applied to a general 2-qubit Hamiltonian which could exhibit Kramers degeneracy. This is done through the extremal density matrix formalism, which allows to extend the conventional variational principle to mixed states. By applying the positive partial transpose criterion in terms of the Correlation and Schlienz-Mahler matrices on the extremal density matrices, we demonstrate that it is possible to reach both pure and mixed entangled states, changing properly the parameters of the Hamiltonian. For time-reversal invariant Hamiltonians, the extremal pure states can be entangled or not and we prove that they are not time-reversal invariants. For extremal mixed states we have in general 5 possible cases: three of them are entangled and the other two separable.
Computational and Group-Theoretical Methods in Nuclear Physics, 2004
The pick-up reaction 196{Pt}(vec d,t)195{Pt} has been recently the object of a detailed experimen... more The pick-up reaction 196{Pt}(vec d,t)195{Pt} has been recently the object of a detailed experimental study1. Its main interest is to test if the nuclear dynamical supersymmetry (SUSY) is a valid model to describe nuclei in this region. We compare the spectroscopic strengths obtained with different forms of the transfer operator and show that by introducing some parameters to weigh the
The pseudo SU(3) model is shown to be a powerful scheme for describing the excitation spectra as ... more The pseudo SU(3) model is shown to be a powerful scheme for describing the excitation spectra as well asB(E2) andB(M1) transition strengths in heavy deformed nuclei. It is also useful for describing double beta decay amplitudes for transitions from the ground state of an even-even nucleus to the ground and excited states of the daughter nucleus, both for the two
Resumen en: The low energy spectra, electric quadrupole transitions, and quadrupole moments for t... more Resumen en: The low energy spectra, electric quadrupole transitions, and quadrupole moments for the germanium isotopes are determined in the formalism of the IBM-2 w...
A procedure to study shapes and stability of algebraic models introduced by Gilmore is presented.... more A procedure to study shapes and stability of algebraic models introduced by Gilmore is presented. According to tbe time dependent variational principie the coherent states, for al- gebraic models, are appropriate trial wavefunctions. Qne calculates the expectation vaJue of the Hamiltonian with respect to the corresponding coherent states to study the energy surfaces of the mode!. Tben equilibrium configurations of the resulting energy surface, which depends in general on state variables and a set of parameters, are classified through the catastrophe theory. For one and two-body interactions in the Hamiltonian of the interacting basan model (IBA-l), the critical points are organized through the separatrix. As an example, we apply this separatrix to describe the energy surfaces associated to the dynamical symmetries of the IBA-l, and to the effective hamiltonians of the Ru, Os and Sm isotopes. RESUMEN. Presentamos un procedimiento establecido por Gilmore para estudiar las formas y es-...
We report on recent experiments performed at the HRIBF of Oak Ridge National Laboratory (ORNL) ai... more We report on recent experiments performed at the HRIBF of Oak Ridge National Laboratory (ORNL) aimed to study neutron-rich nuclei in the A 80 mass region. First time use of Radioactive Ion Beams (RIBs) (78,80)Ge complemented with stable beam information allowed a systematic study of B(E2)-values that characterize the n-rich even-even Ge and Se isotopes. A comparison of the experimental
The potential-energy-surface concept of the generalized collective model is given a shell-model i... more The potential-energy-surface concept of the generalized collective model is given a shell-model interpretation. For deformations less than the equilibrium value, ..beta.. ..beta../sub 0/ is shown to be an intershell phenomenon that depends on competition between major shell excitation energies and the binding energy of the residual interaction. The exclusion principle plays an essential role in the argument. Results for /sup 24/Mg illustrate the necessity of an open-shell picture.
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