论文标题
Bose-Einstein凝结以外
Bose-Einstein Condensation Beyond the Gross-Pitaevskii Regime
论文作者
论文摘要
我们认为N BOSON在一个盒子中的盒子中，通过$ n^{ - 1+κ} $的散射长度的两体电位进行交互，以$κ> 0 $。假设$κ\在（0; 1/43）$中，我们表明，该系统的低能状态通过根据预期和更高的激发次数提供明确的界限来表现出完整的Bose-Einstein凝结。
We consider N bosons in a box with volume one, interacting through a two-body potential with scattering length of the order $N^{-1+κ}$, for $κ>0$. Assuming that $κ\in (0;1/43)$, we show that low-energy states of the system exhibit complete Bose-Einstein condensation by providing explicit bounds on the expectation and on higher moments of the number of excitations.
