5 papers
The Fock-Darwin-Darboux system: eigenstates, information entropies and dispersion-like measures
Ignacio Baena-Jimenez, Angel Ballesteros, Ivan Gutierrez-Sagredo
The Fock-Darwin (FD) quantum system describes the motion on the plane of a charged particle under the action of an isotropic oscillator potential together with a perpendicular cons…
Universal -matrices for quantum Poincaré groups: contractions and quantum reference frames
Angel Ballesteros, Diego Fernandez-Silvestre, Ivan Gutierrez-Sagredo
Universal -matrices, or Hopf algebra dual forms, for quantum groups are revisited, and their contraction theory is developed. As a first illustrative example, the (1+1) timelike…
Deformations of the symmetric subspace of qubit chains
Angel Ballesteros, Ivan Gutierrez-Sagredo, Jose de Ramon +1
The symmetric subspace of multi-qubit systems, that is, the space of states invariant under permutations, is commonly encountered in applications in the context of quantum informat…
Quantum group deformation of the Kittel--Shore model
A. Ballesteros, I. Gutiérrez-Sagredo, V. Mariscal +1
The Kittel--Shore (KS) Hamiltonian describes spins with long-range interactions that are identically coupled; therefore, this (mean-field) model is also known as the Heisenberg…
Rényi and Tsallis information entropies for the Darboux III quantum nonlinear oscillator
Ignacio Baena-Jimenez, Angel Ballesteros, Ivan Gutierrez-Sagredo +1
The Darboux III oscillator is an exactly solvable -dimensional nonlinear oscillator defined on a radially symmetric space with non-constant negative curvature. Its one-dimension…