论文标题
Bogoliubov理论在GROSS-PITAEVSKII限制中：一种简化的方法
Bogoliubov Theory in the Gross-Pitaevskii Limit: a Simplified Approach
论文作者
论文摘要
我们表明，Bogoliubov理论正确地预测了GROSS-PITAEVSKII制度中Bose气体的低能光谱特性。我们从\ cite {bbcs，bbcs4}中恢复最新结果。尽管我们的主要策略类似于\ cite {bbcs，bbcs4}中开发的策略，但我们将其与新想法相结合，部分摘自\ cite {hainzl，nt};这使我们的证明变得更加简单，更短。作为朝着Bogoliubov理论证明的重要一步，我们表明，低能量状态表现出完整的Bose-Einstein凝结，并对正交激发的数量进行最佳控制。
We show that Bogoliubov theory correctly predicts the low-energy spectral properties of Bose gases in the Gross-Pitaevskii regime. We recover recent results from \cite{BBCS,BBCS4}. While our main strategy is similar to the one developed in \cite{BBCS,BBCS4}, we combine it with new ideas, taken in part from \cite{Hainzl,NT}; this makes our proof substantially simpler and shorter. As an important step towards the proof of Bogoliubov theory, we show that low-energy states exhibit complete Bose-Einstein condensation with optimal control on the number of orthogonal excitations.
