Attaining the maximum Bose–Einstein condensation in a finite-size hard-core boson model
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Published:2023-12-05
Issue:1
Volume:57
Page:015301
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ISSN:1751-8113
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Container-title:Journal of Physics A: Mathematical and Theoretical
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language:
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Short-container-title:J. Phys. A: Math. Theor.
Author:
Ríos ElíasORCID,
Schneider David MORCID,
Capuzzi PabloORCID,
Alcoba Diego RORCID,
Oña Ofelia BORCID,
Torre AliciaORCID,
Lain LuisORCID
Abstract
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.
Funder
Agencia Nacional de Promoción Cientıéfica y Tecnológica
Universidad de Buenos Aires
Consejo Nacional de Investigaciones Cientıéficas y Técnicas
Subject
General Physics and Astronomy,Mathematical Physics,Modeling and Simulation,Statistics and Probability,Statistical and Nonlinear Physics