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...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autores principales: Plastino, Ángel Ricardo, Monteoliva, Diana, Plastino, Ángel Luis
Formato: Articulo
Lenguaje:Inglés
Publicado: 2021
Materias:
Física
Exactly solvable model
Pairing interaction
Monopole interaction
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/129995
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-129995
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Exactly solvable model
Pairing interaction
Monopole interaction
spellingShingle Física
Exactly solvable model
Pairing interaction
Monopole interaction
Plastino, Ángel Ricardo
Monteoliva, Diana
Plastino, Ángel Luis
Information-Theoretic Features of Many Fermion Systems: An Exploration Based on Exactly Solvable Models
topic_facet Física
Exactly solvable model
Pairing interaction
Monopole interaction
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 Articulo
Articulo
author Plastino, Ángel Ricardo
Monteoliva, Diana
Plastino, Ángel Luis
author_facet Plastino, Ángel Ricardo
Monteoliva, Diana
Plastino, Ángel Luis
author_sort Plastino, Ángel Ricardo
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
publishDate 2021
url http://sedici.unlp.edu.ar/handle/10915/129995
work_keys_str_mv AT plastinoangelricardo informationtheoreticfeaturesofmanyfermionsystemsanexplorationbasedonexactlysolvablemodels
AT monteolivadiana informationtheoreticfeaturesofmanyfermionsystemsanexplorationbasedonexactlysolvablemodels
AT plastinoangelluis informationtheoreticfeaturesofmanyfermionsystemsanexplorationbasedonexactlysolvablemodels
bdutipo_str Repositorios
_version_ 1764820452936515585

Ejemplares similares