纠缠的扩展和小Bose-Hubbard链的转向
Spreading of entanglement and steering along small Bose-Hubbard chains
摘要：
我们研究纠缠如何沿着小的玻色-哈伯德链传播，只有第一个井最初由介观数量的原子占据，随着网站数量的增加。对于两个和三个井链在非相互作用的情况下，我们能够获得解析解，并表明纠缠的存在取决于有一个亚泊松状态的原子在第一个井。在这些情况下，我们计算的相关性是完全周期性的。恢复碰撞相互作用或移动到一个四阱链需要一个数值处理，我们使用全量子正P表示。我们研究了两种不同的相关性，发现增加碰撞相互作用破坏了相关性的周期性，并导致它们随着时间的推移而退化。这发生在每个阱中的原子数对解的周期性有明显影响之前。
英文摘要：
We investigate how entanglement spreads along small Bose-Hubbard chains, with only the first well initially occupied by a mesoscopic number of atoms, as the number of sites increases. For two- and three-well chains in the non-interacting case, we are able to obtain analytical solutions and show that the presence of entanglement depends on having a sub-Poissonian state of the atoms in the first well. In these cases, the correlations we calculate are completely periodic. Restoring the collisional interactions or moving to a four-well chain necessitates a numerical treatment, for which we use the fully quantum positive-P representation. We examine two different correlations and find that adding collisional interactions destroys the periodicity of the correlations and causes them to degrade with time. This happens well before there is a noticeable effect on the periodicity of the solutions for the number of atoms in each well.
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