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

We have found a stable spin-structure of N [Formula: see text] 3 system in which three spin-3 atoms are trapped and coupled to total spin S [Formula: see text] 3. We have proved that a pair of this structure is nearly an exact solution for N [Formula: see text] 6 systems in a very broad district in...

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Bibliographic Details
Published in:	Scientific reports 2021-01, Vol.11 (1), p.1792-1792, Article 1792
Main Authors:	Liu, Y M, He, Y Z, Bao, C G
Format:	Article
Language:	eng
Subjects:	Atoms & subatomic particles Cold Few-body systems Physics Symmetry Theoretical physics
Online Access:	Get full text
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Summary:	We have found a stable spin-structure of N [Formula: see text] 3 system in which three spin-3 atoms are trapped and coupled to total spin S [Formula: see text] 3. We have proved that a pair of this structure is nearly an exact solution for N [Formula: see text] 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.
ISSN:	2045-2322 2045-2322