论文标题
双井中玻色子的波动减少
Reduced fluctuations for bosons in a double well
论文作者
论文摘要
我们回顾了两个最新的结果，这些结果涉及双井外部电位困住的骨气系统的基态性能。在井之间的限制和井之间的较大分离中，我们证明，占据每个单孔低能模式的颗粒数量的波动在降低的尺度上发生，相对于$ \ sqrt {n} $，后者是中心限制定理的典型预测。这标志着标准玻色网凝结的独立和不相关颗粒的崩溃，以及在基态下相互作用驱动相关相的出现。
We review two recent results on the ground state properties of bosonic systems trapped by a double well external potential. In the limit of large population and large separation between the wells we prove that fluctuations in the number of particles occupying each single-well low energy mode occur at a reduced scale with respect to $ \sqrt{N}$, the latter being the typical prediction of the central limit theorem. This signals the breakdown of the independent and uncorrelated particles picture of standard Bose-Einstein condensation and the emergence of an interaction-driven correlated phase in the ground state.
