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
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Acceso en línea:https://doaj.org/article/46c82d31ea2a4594b3cff4c6dd08eb18
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Sumario: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.