论文标题
具有定期调制的弱相互作用的玻色气体中动量分布和结构因子的动力学
Dynamics of Momentum Distribution and Structure Factor in a Weakly Interacting Bose Gas with a Periodical Modulation
论文作者
论文摘要
研究了具有时间依赖性的周期性调节的动量分布和动力学结构因子在Bogoliubov处理方面。当定期调制耦合强度时，与Bogoliubov权重有关的演化方程恰好是可解决的MATHIEU方程。得出了动量分布的时间衍生物与动态结构因子之间的确切关系，这表明单粒子特性与Bose-Einstein冷凝物进化中的两体性质密切相关。发现动量分布和动态结构因子无法显示周期性行为。对于稳定的动力学，动量分布和动态结构因子的曲线中的某些特定峰同步出现，这与衍生关系一致。
The momentum distribution and dynamical structure factor in a weakly interacting Bose gas with a time-dependent periodic modulation in terms of the Bogoliubov treatment are investigated. The evolution equation related to the Bogoliubov weights happens to be a solvable Mathieu equation when the coupling strength is periodically modulated. An exact relation between the time derivatives of momentum distribution and dynamical structure factor is derived, which indicates that the single-particle property strongly related to the two-body property in the evolutions of Bose-Einstein condensates. It is found that the momentum distribution and dynamical structure factor cannot display periodical behavior. For stable dynamics, some particular peaks in the curves of momentum distribution and dynamical structure factor appear synchronously, which is consistent with the derivative relation.
