We consider systems of N bosons trapped on the two-dimensional unit torus, in the Gross-Pitaevskii regime, where the scattering length of the repulsive interaction is exponentially small in the number of particles. We show that low-energy states exhibit complete Bose–Einstein condensation, with almost optimal bounds on the number of orthogonal excitations.

中文翻译：

---

Gross-Pitaevskii 体系中二维玻色子的玻色-爱因斯坦凝聚

我们考虑在 Gross-Pitaevskii 体系中被困在二维单位环面上的 N 个玻色子系统，其中排斥相互作用的散射长度在粒子数量上呈指数级小。我们表明低能态表现出完全的玻色-爱因斯坦凝聚，正交激发的数量几乎是最佳的。