A stable spin-structure found in a 3-body system with spin-3 cold atoms and its role in N-body condensates

Abstract We have found a stable spin-structure of N $$=$$ = 3 system in which three spin-3 atoms are trapped and coupled to total spin S $$=$$ = 3. We have proved that a pair of this structure is nearly an exact solution for N $$=$$ = 6 systems in a very broad district in the parameter-space. Compar...

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Autores principales:	Y. M. Liu, Y. Z. He, C. G. Bao
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/46c82d31ea2a4594b3cff4c6dd08eb18
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spelling	oai:doaj.org-article:46c82d31ea2a4594b3cff4c6dd08eb182021-12-02T15:23:39ZA stable spin-structure found in a 3-body system with spin-3 cold atoms and its role in N-body condensates10.1038/s41598-021-81133-72045-2322https://doaj.org/article/46c82d31ea2a4594b3cff4c6dd08eb182021-01-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-81133-7https://doaj.org/toc/2045-2322Abstract We have found a stable spin-structure of N $$=$$ = 3 system in which three spin-3 atoms are trapped and coupled to total spin S $$=$$ = 3. We have proved that a pair of this structure is nearly an exact solution for N $$=$$ = 6 systems in a very broad district in the parameter-space. Comparing with the well-known singlet pairs, this pair is a more promising candidate to serve as a building block for large N systems with spin-3 atoms. This is because the spin-structure of the latter can be modified depending on the interactions to reduce the energy while the singlet pairs can not. In fact, we have proved that, for a specific set of strengths (a point in the parameter-space) the product state based on this pair is an exact solution of the N-body Hamiltonian. Thus, in the neighborhood of this point, the product state will appear as an approximate solution. However, how broad this neighborhood would be remains to be clarified.Y. M. LiuY. Z. HeC. G. BaoNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-7 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Y. M. Liu Y. Z. He C. G. Bao A stable spin-structure found in a 3-body system with spin-3 cold atoms and its role in N-body condensates
description	Abstract We have found a stable spin-structure of N $$=$$ = 3 system in which three spin-3 atoms are trapped and coupled to total spin S $$=$$ = 3. We have proved that a pair of this structure is nearly an exact solution for N $$=$$ = 6 systems in a very broad district in the parameter-space. Comparing with the well-known singlet pairs, this pair is a more promising candidate to serve as a building block for large N systems with spin-3 atoms. This is because the spin-structure of the latter can be modified depending on the interactions to reduce the energy while the singlet pairs can not. In fact, we have proved that, for a specific set of strengths (a point in the parameter-space) the product state based on this pair is an exact solution of the N-body Hamiltonian. Thus, in the neighborhood of this point, the product state will appear as an approximate solution. However, how broad this neighborhood would be remains to be clarified.
format	article
author	Y. M. Liu Y. Z. He C. G. Bao
author_facet	Y. M. Liu Y. Z. He C. G. Bao
author_sort	Y. M. Liu
title	A stable spin-structure found in a 3-body system with spin-3 cold atoms and its role in N-body condensates
title_short	A stable spin-structure found in a 3-body system with spin-3 cold atoms and its role in N-body condensates
title_full	A stable spin-structure found in a 3-body system with spin-3 cold atoms and its role in N-body condensates
title_fullStr	A stable spin-structure found in a 3-body system with spin-3 cold atoms and its role in N-body condensates
title_full_unstemmed	A stable spin-structure found in a 3-body system with spin-3 cold atoms and its role in N-body condensates
title_sort	stable spin-structure found in a 3-body system with spin-3 cold atoms and its role in n-body condensates
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/46c82d31ea2a4594b3cff4c6dd08eb18
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A stable spin-structure found in a 3-body system with spin-3 cold atoms and its role in N-body condensates

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