Entanglement and U(D)-spin squeezing in symmetric multi-quDit systems and applications to quantum phase transitions in Lipkin–Meshkov–Glick D-level atom …

M Calixto, A Mayorgas, J Guerrero - Quantum Information Processing, 2021 - Springer
Collective spin operators for symmetric multi-quDit (namely identical D-level atom) systems
generate a U (D) symmetry. We explore generalizations to arbitrary D of SU (2)-spin …

[HTML][HTML] Excited state quantum phase transitions in the bending spectra of molecules

J Khalouf-Rivera, F Pérez-Bernal, M Carvajal - Journal of Quantitative …, 2021 - Elsevier
We present an extension of the Hamiltonian of the two dimensional limit of the vibron model
to encompass all possible interactions up to four-body operators. We apply this Hamiltonian …

Role of mixed permutation symmetry sectors in the thermodynamic limit of critical three-level Lipkin-Meshkov-Glick atom models

M Calixto, A Mayorgas, J Guerrero - Physical Review E, 2021 - APS
We introduce the notion of mixed symmetry quantum phase transition (MSQPT) as
singularities in the transformation of the lowest-energy state properties of a system of …

Inverse participation ratio and localization in topological insulator phase transitions

M Calixto, E Romera - Journal of Statistical Mechanics: Theory …, 2015 - iopscience.iop.org
Fluctuations of Hamiltonian eigenfunctions, measured by the inverse participation ratio
(IPR), turn out to characterize topological-band insulator transitions occurring in 2D Dirac …

Schmidt decomposition of parity adapted coherent states for symmetric multi-quDits

J Guerrero, A Sojo, A Mayorgas… - Journal of Physics A …, 2023 - iopscience.iop.org
In this paper we study the entanglement in symmetric N-quDit systems. In particular we use
generalizations to U (D) of spin U (2) coherent states (CSs) and their projections on definite …

Identifying the order of a quantum phase transition by means of Wehrl entropy in phase space

O Castanos, M Calixto, F Pérez-Bernal, E Romera - Physical Review E, 2015 - APS
We propose a method to identify the order of a quantum phase transition by using area
measures of the ground state in phase space. We illustrate our proposal by analyzing the …

Information diagrams in the study of entanglement in symmetric multi-quDit systems and applications to quantum phase transitions in Lipkin–Meshkov–Glick D-level …

J Guerrero, A Mayorgas, M Calixto - Quantum Information Processing, 2022 - Springer
In this paper we pursue the use of information measures (in particular, information diagrams)
for the study of entanglement in symmetric multi-quDit systems. We use generalizations to U …

Hilbert space and ground-state structure of bilayer quantum Hall systems at

M Calixto, C Peón-Nieto, E Pérez-Romero - Physical Review B, 2017 - APS
We analyze the Hilbert space and ground state structure of bilayer quantum Hall (BLQH)
systems at fractional filling factors ν= 2/λ (λ odd) and we also study the large SU (4) isospin-λ …

Analogies between the topological insulator phase of 2D Dirac materials and the superradiant phase of atom‐field systems

M Calixto, E Romera, O Castanos - International Journal of …, 2021 - Wiley Online Library
A semiclassical phase‐space perspective of band‐and topological‐insulator regimes of 2D
Dirac materials and normal‐and superradiant phases of atom‐field interacting models is …

Information measures and topological-band insulator transitions in 2D-Dirac materials under external circularly polarized lasers, and static electric and magnetic fields

E Romera, M Calixto, JC Bolívar - Physica A: Statistical Mechanics and its …, 2018 - Elsevier
The graphene family of 2D-Dirac materials shows different topological phases induced by
the application of electric fields and the circularly polarized lasers. In this paper we present …