Cargando…

Spin-textures of medium-body boson systems with trapped spin-f cold atoms

The spin-textures of bound medium-body systems with spin-[Formula: see text] atoms ([Formula: see text] ) have been studied. The Hamiltonian is assumed to be dominated by the two-body interaction favoring parallel spins. The system with particle number [Formula: see text] and [Formula: see text] is...

Descripción completa

Detalles Bibliográficos
Autores principales: He, Y. Z., Bao, C. G., Li, Z. B.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9470676/
https://www.ncbi.nlm.nih.gov/pubmed/36100622
http://dx.doi.org/10.1038/s41598-022-19184-7
_version_ 1784788896095141888
author He, Y. Z.
Bao, C. G.
Li, Z. B.
author_facet He, Y. Z.
Bao, C. G.
Li, Z. B.
author_sort He, Y. Z.
collection PubMed
description The spin-textures of bound medium-body systems with spin-[Formula: see text] atoms ([Formula: see text] ) have been studied. The Hamiltonian is assumed to be dominated by the two-body interaction favoring parallel spins. The system with particle number [Formula: see text] and [Formula: see text] is first chosen, and the Hamiltonian is exactly diagonalized by using Fock-states as basis-states, thereby all the eigenenergies and eigenstates are obtained and a detailed analysis is made. Then the cases with [Formula: see text] and [Formula: see text] are further studied. Since the total spin S is conserved, the eigenstates having the same S form an S-group. Let the lowest (highest) energy state of an S-group be called a bottom-state (top-state). We found that all the bottom-states are bipartite product states with constituent states describing fully polarized subsystems containing [Formula: see text] and [Formula: see text] ([Formula: see text] ) particles, respectively. For two bottom-states different in [Formula: see text] , the one with a larger [Formula: see text] is higher. For two having the same [Formula: see text] , the one with a smaller S is higher. Whereas all the top-states are found to be essentially a product state of the pairs, in each pair the two spins are coupled to [Formula: see text] if the strength of the [Formula: see text] -channel is more repulsive than the others. For the states belonging to an S-group, the higher one would contain more pieces. As the energy goes up, larger pieces (those containing more than two particles) will disappear.
format Online
Article
Text
id pubmed-9470676
institution National Center for Biotechnology Information
language English
publishDate 2022
publisher Nature Publishing Group UK
record_format MEDLINE/PubMed
spelling pubmed-94706762022-09-15 Spin-textures of medium-body boson systems with trapped spin-f cold atoms He, Y. Z. Bao, C. G. Li, Z. B. Sci Rep Article The spin-textures of bound medium-body systems with spin-[Formula: see text] atoms ([Formula: see text] ) have been studied. The Hamiltonian is assumed to be dominated by the two-body interaction favoring parallel spins. The system with particle number [Formula: see text] and [Formula: see text] is first chosen, and the Hamiltonian is exactly diagonalized by using Fock-states as basis-states, thereby all the eigenenergies and eigenstates are obtained and a detailed analysis is made. Then the cases with [Formula: see text] and [Formula: see text] are further studied. Since the total spin S is conserved, the eigenstates having the same S form an S-group. Let the lowest (highest) energy state of an S-group be called a bottom-state (top-state). We found that all the bottom-states are bipartite product states with constituent states describing fully polarized subsystems containing [Formula: see text] and [Formula: see text] ([Formula: see text] ) particles, respectively. For two bottom-states different in [Formula: see text] , the one with a larger [Formula: see text] is higher. For two having the same [Formula: see text] , the one with a smaller S is higher. Whereas all the top-states are found to be essentially a product state of the pairs, in each pair the two spins are coupled to [Formula: see text] if the strength of the [Formula: see text] -channel is more repulsive than the others. For the states belonging to an S-group, the higher one would contain more pieces. As the energy goes up, larger pieces (those containing more than two particles) will disappear. Nature Publishing Group UK 2022-09-13 /pmc/articles/PMC9470676/ /pubmed/36100622 http://dx.doi.org/10.1038/s41598-022-19184-7 Text en © The Author(s) 2022 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
He, Y. Z.
Bao, C. G.
Li, Z. B.
Spin-textures of medium-body boson systems with trapped spin-f cold atoms
title Spin-textures of medium-body boson systems with trapped spin-f cold atoms
title_full Spin-textures of medium-body boson systems with trapped spin-f cold atoms
title_fullStr Spin-textures of medium-body boson systems with trapped spin-f cold atoms
title_full_unstemmed Spin-textures of medium-body boson systems with trapped spin-f cold atoms
title_short Spin-textures of medium-body boson systems with trapped spin-f cold atoms
title_sort spin-textures of medium-body boson systems with trapped spin-f cold atoms
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9470676/
https://www.ncbi.nlm.nih.gov/pubmed/36100622
http://dx.doi.org/10.1038/s41598-022-19184-7
work_keys_str_mv AT heyz spintexturesofmediumbodybosonsystemswithtrappedspinfcoldatoms
AT baocg spintexturesofmediumbodybosonsystemswithtrappedspinfcoldatoms
AT lizb spintexturesofmediumbodybosonsystemswithtrappedspinfcoldatoms