双势阱中玻色子的约化涨落
Reduced fluctuations for bosons in a double well
摘要：
本文综述了最近关于双势阱玻色子系统基态性质的两个结果。在限制的大人口和大的井之间的分离，我们证明了在每个单阱低能量模式的粒子数的波动发生在一个减少的规模相对于$ \sqrt{N}$，后者是典型的预测的中心极限定理。这标志着标准玻色-爱因斯坦凝聚的独立和不相关粒子图像的崩溃和基态中相互作用驱动的相关相的出现。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
