@misc{10481/72786,
year = {2022},
month = {1},
url = {http://hdl.handle.net/10481/72786},
abstract = {A quantum phase transition (QPT) in a simple model that describes the coexistence of atoms
and diatomic molecules is studied. The model, which is briefly discussed, presents a second-order
ground state phase transition in the thermodynamic (or large particle number) limit, changing from a
molecular condensate in one phase to an equilibrium of diatomic molecules–atoms in coexistence
in the other one. The usual markers for this phase transition are the ground state energy and the
expected value of the number of atoms (alternatively, the number of molecules) in the ground state.
In this work, other markers for the QPT, such as the inverse participation ratio (IPR), and particularly,
the Rényi entropy, are analyzed and proposed as QPT markers. Both magnitudes present abrupt
changes at the critical point of the QPT.},
organization = {Consejería de Economía, Conocimiento, Empresas y Universidad, Junta de Andalucía},
organization = {Secretaría de Estado de Investigacion, Desarrollo e Innovacion

FQM-160, MCIN/AEI/10.13039/501100011033, PID2019-104002GB-C22, PID2020-114687GB-I00},
organization = {European Regional Development Fund

US-1380840},
publisher = {MDPI},
keywords = {Quantum phase transitions},
keywords = {Exactly solvable models},
keywords = {Inverse participation ratio},
keywords = {Rényi entropy},
title = {Entropies and IPR as Markers for a Phase Transition in a Two-Level Model for Atom–Diatomic Molecule Coexistence},
doi = {10.3390/e24010113},
author = {Baena, Ignacio and Pérez Fernández, Pedro and Rodríguez Gallardo, Manuela and Arias, José Miguel},
}