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arXiv quant-ph/0212120quant-ph
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隧道图上玻色凝聚体的二体模纠缠

Bi-partite mode entanglement of bosonic condensates on tunneling graph

Paolo Zanardi

摘要:

我们研究了一组定域在图$Γ.$上的$L$空间玻色模。粒子可以通过沿图$Γ.$的边跳跃而从一个顶点隧穿到另一个顶点。我们分析了在系统的精确多体本征态中,在单粒子本征函数上的玻色-爱因斯坦凝聚体中,格点相对于图的其余部分的二分量子纠缠依赖于$Γ.$的拓扑结构

英文摘要:

We study a set of $L$ spatial bosonic modes localized on a graph $Γ.$ The particles are allowed to tunnel from vertex to vertex by hopping along the edges of $Γ.$ We analyze how, in the exact many-body eigenstates of the system i.e., Bose-Einstein condensates over single-particle eigenfunctions, the bi-partite quantum entanglement of a lattice vertex with respect to the rest of the graph depends on the topology of $Γ.$

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