Liu Y M, He Y Z, Bao C G
Department of physics, Shaoguan University, Shaoguan, 510205, People's Republic of China.
State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing, 100190, People's Republic of China.
Sci Rep. 2021 Jan 19;11(1):1792. doi: 10.1038/s41598-021-81133-7.
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.
我们发现了N = 3系统的一种稳定自旋结构，其中三个自旋为3的原子被捕获并耦合到总自旋S = 3。我们已经证明，在参数空间的一个非常广阔的区域中，这种结构的一对对于N = 6系统几乎是一个精确解。与著名的单重态对相比，这一对更有希望作为具有自旋为3的原子的大N系统的构建块。这是因为后者的自旋结构可以根据相互作用进行修改以降低能量，而单重态对则不能。事实上，我们已经证明，对于一组特定的强度（参数空间中的一个点），基于这一对的乘积态是N体哈密顿量的精确解。因此，在这一点的邻域内，乘积态将表现为近似解。然而，这个邻域有多宽仍有待阐明。
