Magic Numbers and Mixing Degree in Many-Fermion Systems

We consider an N fermion system at low temperature T in which we encounter special particle number values Nₘ exhibiting special traits. These values arise when focusing attention upon the degree of mixture (DM) of the pertinent quantum states. Given the coupling constant of the Hamiltonian, the DMs...

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Autores principales: Monteoliva, Diana, Plastino, Ángel Luis, Plastino, Ángel Ricardo
Formato: Articulo
Lenguaje:Inglés
Publicado: 2023
Materias:
Física
tsallis entropy
many-fermion systems
mixture degree
finite temperature
magic numbers
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/159924
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-159924
record_format dspace
spelling I19-R120-10915-1599242023-11-08T20:07:22Z http://sedici.unlp.edu.ar/handle/10915/159924 Magic Numbers and Mixing Degree in Many-Fermion Systems Monteoliva, Diana Plastino, Ángel Luis Plastino, Ángel Ricardo 2023 2023-11-08T13:33:32Z en Física tsallis entropy many-fermion systems mixture degree finite temperature magic numbers We consider an N fermion system at low temperature T in which we encounter special particle number values Nₘ exhibiting special traits. These values arise when focusing attention upon the degree of mixture (DM) of the pertinent quantum states. Given the coupling constant of the Hamiltonian, the DMs stay constant for all N-values but experience sudden jumps at the Nm. For a quantum state described by the matrix ρ, its purity is expressed by Trρ² and then the degree of mixture is given by 1 − Trρ², a quantity that coincides with the entropy Sq for q = 2. Thus, Tsallis entropy of index two faithfully represents the degree of mixing of a state, that is, it measures the extent to which the state departs from maximal purity. Macroscopic manifestations of the degree of mixing can be observed through various physical quantities. Our present study is closely related to properties of many-fermion systems that are usually manipulated at zero temperature. Here, we wish to study the subject at finite temperature. The Gibbs ensemble is appealed to. Some interesting insights are thereby gained. Instituto de Física La Plata Articulo Articulo http://creativecommons.org/licenses/by/4.0/ Creative Commons Attribution 4.0 International (CC BY 4.0) application/pdf
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
tsallis entropy
many-fermion systems
mixture degree
finite temperature
magic numbers
spellingShingle Física
tsallis entropy
many-fermion systems
mixture degree
finite temperature
magic numbers
Monteoliva, Diana
Plastino, Ángel Luis
Plastino, Ángel Ricardo
Magic Numbers and Mixing Degree in Many-Fermion Systems
topic_facet Física
tsallis entropy
many-fermion systems
mixture degree
finite temperature
magic numbers
description We consider an N fermion system at low temperature T in which we encounter special particle number values Nₘ exhibiting special traits. These values arise when focusing attention upon the degree of mixture (DM) of the pertinent quantum states. Given the coupling constant of the Hamiltonian, the DMs stay constant for all N-values but experience sudden jumps at the Nm. For a quantum state described by the matrix ρ, its purity is expressed by Trρ² and then the degree of mixture is given by 1 − Trρ², a quantity that coincides with the entropy Sq for q = 2. Thus, Tsallis entropy of index two faithfully represents the degree of mixing of a state, that is, it measures the extent to which the state departs from maximal purity. Macroscopic manifestations of the degree of mixing can be observed through various physical quantities. Our present study is closely related to properties of many-fermion systems that are usually manipulated at zero temperature. Here, we wish to study the subject at finite temperature. The Gibbs ensemble is appealed to. Some interesting insights are thereby gained.
format Articulo
Articulo
author Monteoliva, Diana
Plastino, Ángel Luis
Plastino, Ángel Ricardo
author_facet Monteoliva, Diana
Plastino, Ángel Luis
Plastino, Ángel Ricardo
author_sort Monteoliva, Diana
title Magic Numbers and Mixing Degree in Many-Fermion Systems
title_short Magic Numbers and Mixing Degree in Many-Fermion Systems
title_full Magic Numbers and Mixing Degree in Many-Fermion Systems
title_fullStr Magic Numbers and Mixing Degree in Many-Fermion Systems
title_full_unstemmed Magic Numbers and Mixing Degree in Many-Fermion Systems
title_sort magic numbers and mixing degree in many-fermion systems
publishDate 2023
url http://sedici.unlp.edu.ar/handle/10915/159924
work_keys_str_mv AT monteolivadiana magicnumbersandmixingdegreeinmanyfermionsystems
AT plastinoangelluis magicnumbersandmixingdegreeinmanyfermionsystems
AT plastinoangelricardo magicnumbersandmixingdegreeinmanyfermionsystems
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