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Information-Theoretic Features of Many Fermion Systems: An Exploration Based on Exactly Solvable Models
Finite quantum many fermion systems are essential for our current understanding of Nature. They are at the core of molecular, atomic, and nuclear physics. In recent years, the application of information and complexity measures to the study of diverse types of many-fermion systems has opened a line o...
Autores principales: | , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
MDPI
2021
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8625102/ https://www.ncbi.nlm.nih.gov/pubmed/34828186 http://dx.doi.org/10.3390/e23111488 |
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author | Plastino, Angel Ricardo Monteoliva, Diana Plastino, Angelo |
author_facet | Plastino, Angel Ricardo Monteoliva, Diana Plastino, Angelo |
author_sort | Plastino, Angel Ricardo |
collection | PubMed |
description | Finite quantum many fermion systems are essential for our current understanding of Nature. They are at the core of molecular, atomic, and nuclear physics. In recent years, the application of information and complexity measures to the study of diverse types of many-fermion systems has opened a line of research that elucidates new aspects of the structure and behavior of this class of physical systems. In this work we explore the main features of information and information-based complexity indicators in exactly soluble many-fermion models of the Lipkin kind. Models of this kind have been extremely useful in shedding light on the intricacies of quantum many body physics. Models of the Lipkin kind play, for finite systems, a role similar to the one played by the celebrated Hubbard model of solid state physics. We consider two many fermion systems and show how their differences can be best appreciated by recourse to information theoretic tools. We appeal to information measures as tools to compare the structural details of different fermion systems. We will discover that few fermion systems are endowed by a much larger complexity-degree than many fermion ones. The same happens with the coupling-constants strengths. Complexity augments as they decrease, without reaching zero. Also, the behavior of the two lowest lying energy states are crucial in evaluating the system’s complexity. |
format | Online Article Text |
id | pubmed-8625102 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2021 |
publisher | MDPI |
record_format | MEDLINE/PubMed |
spelling | pubmed-86251022021-11-27 Information-Theoretic Features of Many Fermion Systems: An Exploration Based on Exactly Solvable Models Plastino, Angel Ricardo Monteoliva, Diana Plastino, Angelo Entropy (Basel) Article Finite quantum many fermion systems are essential for our current understanding of Nature. They are at the core of molecular, atomic, and nuclear physics. In recent years, the application of information and complexity measures to the study of diverse types of many-fermion systems has opened a line of research that elucidates new aspects of the structure and behavior of this class of physical systems. In this work we explore the main features of information and information-based complexity indicators in exactly soluble many-fermion models of the Lipkin kind. Models of this kind have been extremely useful in shedding light on the intricacies of quantum many body physics. Models of the Lipkin kind play, for finite systems, a role similar to the one played by the celebrated Hubbard model of solid state physics. We consider two many fermion systems and show how their differences can be best appreciated by recourse to information theoretic tools. We appeal to information measures as tools to compare the structural details of different fermion systems. We will discover that few fermion systems are endowed by a much larger complexity-degree than many fermion ones. The same happens with the coupling-constants strengths. Complexity augments as they decrease, without reaching zero. Also, the behavior of the two lowest lying energy states are crucial in evaluating the system’s complexity. MDPI 2021-11-10 /pmc/articles/PMC8625102/ /pubmed/34828186 http://dx.doi.org/10.3390/e23111488 Text en © 2021 by the authors. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). |
spellingShingle | Article Plastino, Angel Ricardo Monteoliva, Diana Plastino, Angelo Information-Theoretic Features of Many Fermion Systems: An Exploration Based on Exactly Solvable Models |
title | Information-Theoretic Features of Many Fermion Systems: An Exploration Based on Exactly Solvable Models |
title_full | Information-Theoretic Features of Many Fermion Systems: An Exploration Based on Exactly Solvable Models |
title_fullStr | Information-Theoretic Features of Many Fermion Systems: An Exploration Based on Exactly Solvable Models |
title_full_unstemmed | Information-Theoretic Features of Many Fermion Systems: An Exploration Based on Exactly Solvable Models |
title_short | Information-Theoretic Features of Many Fermion Systems: An Exploration Based on Exactly Solvable Models |
title_sort | information-theoretic features of many fermion systems: an exploration based on exactly solvable models |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8625102/ https://www.ncbi.nlm.nih.gov/pubmed/34828186 http://dx.doi.org/10.3390/e23111488 |
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