Year: 2023
Type: article
Abstract: We propose a model for hard-core bosons in a lattice which allows to achieve the optimal occupation number predicted by Tennie et al (2017 Phys. Rev. B 96 064502) for a finite number of sites. The model is based on an extension of the Hamiltonian of the so-called Hubbard star, whose quantum properties are studied by means of quantum information descriptors such as the von Neumann entropy and the mutual information. These metrics are analyzed as a function of the one- and two-particle reduced density matrices, allowing to explore the relationship between condensation and entanglement by means of a control parameter that, under a given limit, connects our findings with previous results. All developments comprised in this article have been derived by analytical methods.
Authors: Elías Ríos, David M Schneider, Pablo Capuzzi, Diego R Alcoba, Ofelia B Oña, Alicia Torre, Luis Lain
Language: English
Topic: Quantum many-body systems
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: bronze
Awards: G1353864285, G1356765116, G2098434089, G2403323098, G2754259821, G3004000580, ESTUDIO Y DESARROLLO DE MODELOS EN LA TEORÍA QSAR/QSPR PARA LA PREDICCIÓN DE PROPIEDADES FISICOQUÍMICAS Y BIOLÓGICAS EN SISTEMAS MOLECULARES Y MACROMOLECULARES, G3779443375, G4428483902, G5462412021, G5604461982, G687022500, Ecuaciones de Schrödinger y Liouville-von Neumann Contraídas: Determinación Directa de Matrices de Densidad Reducida de 2-electrones en Sistemas Atómicos y Moleculares
OpenAlex ID: W4388933882