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...

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Autores principales:	Angel Ricardo Plastino, Diana Monteoliva, Angelo Plastino
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	exactly solvable model pairing interaction monopole interaction Science Q Astrophysics QB460-466 Physics QC1-999
Acceso en línea:	https://doaj.org/article/bde378b6dbef44a0a1c5409b25bef1ad
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spelling	oai:doaj.org-article:bde378b6dbef44a0a1c5409b25bef1ad2021-11-25T17:30:04ZInformation-Theoretic Features of Many Fermion Systems: An Exploration Based on Exactly Solvable Models10.3390/e231114881099-4300https://doaj.org/article/bde378b6dbef44a0a1c5409b25bef1ad2021-11-01T00:00:00Zhttps://www.mdpi.com/1099-4300/23/11/1488https://doaj.org/toc/1099-4300Finite 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.Angel Ricardo PlastinoDiana MonteolivaAngelo PlastinoMDPI AGarticleexactly solvable modelpairing interactionmonopole interactionScienceQAstrophysicsQB460-466PhysicsQC1-999ENEntropy, Vol 23, Iss 1488, p 1488 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	exactly solvable model pairing interaction monopole interaction Science Q Astrophysics QB460-466 Physics QC1-999
spellingShingle	exactly solvable model pairing interaction monopole interaction Science Q Astrophysics QB460-466 Physics QC1-999 Angel Ricardo Plastino Diana Monteoliva Angelo Plastino Information-Theoretic Features of Many Fermion Systems: An Exploration Based on Exactly Solvable Models
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	article
author	Angel Ricardo Plastino Diana Monteoliva Angelo Plastino
author_facet	Angel Ricardo Plastino Diana Monteoliva Angelo Plastino
author_sort	Angel Ricardo Plastino
title	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_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_sort	information-theoretic features of many fermion systems: an exploration based on exactly solvable models
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/bde378b6dbef44a0a1c5409b25bef1ad
work_keys_str_mv	AT angelricardoplastino informationtheoreticfeaturesofmanyfermionsystemsanexplorationbasedonexactlysolvablemodels AT dianamonteoliva informationtheoreticfeaturesofmanyfermionsystemsanexplorationbasedonexactlysolvablemodels AT angeloplastino informationtheoreticfeaturesofmanyfermionsystemsanexplorationbasedonexactlysolvablemodels
_version_	1718412308293615616

Information-Theoretic Features of Many Fermion Systems: An Exploration Based on Exactly Solvable Models

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