多项式扰动下玻色-爱因斯坦凝聚体的稳定性

Bose Condensate for Quasifree Fermions

We construct the fluctuation algebra for fermions in a quasifree state and its timedependence for quasifree evolutions. We find a Bose-Einstein-condensate and study its stability under interaction.

Central Limit Theorem for Bose-Einstein Condensates

We consider a Bose gas trapped in the unit torus in the Gross-Pitaevskii regime. In the ground state, we prove that fluctuations of bounded one-particle observables satisfy a central limit theorem.

玻色-爱因斯坦凝聚体量子耗尽的生成函数

Generating function for quantum depletion of Bose-Einstein condensates

本文研究Gross-Pitaevskii区域零温玻色气体的量子耗尽，推导出其生成函数的显式渐近公式，并给出量子耗尽尾部的上界。

任意调和函数作为玻色-爱因斯坦凝聚体

Arbitrary harmonic functions as Bose--Einstein condensates

通过选择适当的拉普拉斯算子边界条件，理想玻色气体在热力学极限下可产生由任意调和函数描述的任意数量凝聚体。

Transition of a mesoscopic bosonic gas into a Bose-Einstein condensate

The condensate number distribution during the transition of a dilute, weakly interacting gas of N=200 bosonic atoms into a Bose-Einstein condensate is modeled within number conserving master equation theory of Bose-Einstein condensation. Initial strong quantum fluctuations occuring during the exponential cycle of condensate growth reduce in a subsequent saturation stage, before the Bose gas finally relaxes towards the Gibbs-Boltzmann equilibrium.

Exactly solvable models for multiatomic molecular Bose-Einstein condensates

I introduce two family of exactly solvable models for multiatomic hetero-nuclear and homo-nuclear molecular Bose-Einstein condensates through the algebraic Bethe ansatz method. The conserved quantities of the respective models are also showed.