Signatures of excited-state quantum phase transitions in quantum many-body systems: Phase space analysis

Q Wang, F Pérez-Bernal - Physical Review E, 2021 - APS
Using the Husimi quasiprobability distribution, we investigate the phase space signatures of
excited-state quantum phase transitions (ESQPTs) in the Lipkin-Meshkov-Glick and coupled …

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 …

Localization measures of parity adapted -spin coherent states applied to the phase space analysis of the -level Lipkin-Meshkov-Glick model

A Mayorgas, J Guerrero, M Calixto - Physical Review E, 2023 - APS
We study phase space properties of critical, parity symmetric, N-qudit systems undergoing a
quantum phase transition (QPT) in the thermodynamic N→∞ limit. The D= 3 level (qutrit) …

Phase space analysis of first-, second-and third-order quantum phase transitions in the Lipkin–Meshkov–Glick model

E Romera, M Calixto, O Castaños - Physica Scripta, 2014 - iopscience.iop.org
We present a phase-space study of first-, second-and third-order quantum phase transitions
in the Lipkin–Meshkov–Glick model by means of the Husimi function. By analyzing the …

Anharmonicity-induced excited-state quantum phase transition in the symmetric phase of the two-dimensional limit of the vibron model

J Khalouf-Rivera, F Pérez-Bernal, M Carvajal - Physical Review A, 2022 - APS
In most cases, excited-state quantum phase transitions can be associated with the existence
of critical points (local extrema or saddle points) in a system's classical limit energy …

Relative Rényi entropy and fidelity susceptibility

Á Nagy, E Romera - Europhysics Letters, 2015 - iopscience.iop.org
It is shown that there is a linear relation between the relative Rényi entropy and the density
functional fidelity susceptibility. The derivative of the relative Rényi entropy with respect to …

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 …

Identifying topological-band insulator transitions in silicene and other 2D gapped Dirac materials by means of Rényi-Wehrl entropy

M Calixto, E Romera - Europhysics Letters, 2015 - iopscience.iop.org
We propose a new method to identify transitions from a topological insulator to a band
insulator in silicene (the silicon equivalent of graphene) in the presence of perpendicular …

[HTML][HTML] Signatures of topological phase transitions in higher Landau levels of HgTe/CdTe quantum wells from an information theory perspective

M Calixto, NA Cordero, E Romera… - Physica A: Statistical …, 2022 - Elsevier
We analyze the structure of low energy Hamiltonian eigenstates in zincblende
heterostructures (like HgTe/CdTe quantum wells) near the gamma point, under magnetic …