论文标题

bose-内施泰因的凝结,用于大比塔维斯基(Gross-Pitaevskii)制度中的二维玻色子

Bose-Einstein condensation for two dimensional bosons in the Gross-Pitaevskii regime

论文作者

Caraci, Cristina, Cenatiempo, Serena, Schlein, Benjamin

论文摘要

我们考虑了被困在二维单位圆环上的N玻色子的系统,在GROSS-PITAEVSKII状态下,在粒子数量中,排斥相互作用的散射长度成倍小。我们表明,低能状态表现出完整的Bose-Einstein凝结,几乎在正交激发的数量上具有最佳的界限。

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.

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