光晶格中自旋1玻色子的三重单重态
Quaternary-singlet State of Spin-1 Bosons in Optical Lattice
摘要：
我们研究了$^{23}$ Na旋量凝聚体的量子基态性质。该凝聚体被限制在周期势或双势阱中，并受到附近势阱间磁偶极-偶极相互作用的影响。在体系中出现了一种新的单重态，并可以用显式形式进行讨论。这种四重单态是由格点内的自旋交换相互作用和格点间的偶极-偶极相互作用相互竞争而产生的，它是由至少四个粒子形成的纠缠态，总自旋为零.这与两个常规单重态对的直接乘积不同。
英文摘要：
We present the quantum ground state properties of $^{23}$Na spinor condensates, which is confined in a periodic or double-well potential and subject to a magnetic dipole-dipole interaction between nearby wells. A novel singlet state arise in the system and can be discussed in explicit form. Caused by the competition between the intra-site spin exchange interactions and the inter-site dipole-dipole interactions, this quaternary-singlet\ state is a entangled state formed by at lest four particles and vanish the total spin. This is distinct from the direct product of the two conventional singlet pairs.
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