论文标题
Bose-Einstein冷凝物的碰撞动力学
Collision Dynamics of Bose-Einstein Condensates
论文作者
论文摘要
我们研究了两种玻色网凝结物的碰撞动力学及其动力波函数，该函数由一组耦合的，时间依赖的毛taevskii方程建模。从有效的一维系统开始，我们确定了以原子间相互作用和系统之间的关系和系统的初始配置为特征的制度，类似于两个相互作用的玻色冷凝物的平衡相图。我们考虑了一个动力学设置，其中两个波数据包最初在静止状态下，在不对称谐波陷阱的中心周围有一个小的分离。释放后，我们在非常大且非常小的粒子间排斥的限制中观察到一种快速的动态平衡方法，其特征在于冷凝物的周期性传播或反射为可区分的单位，而中间的临界状态的特征是延伸的瞬态动态，密度动力学分支和动力混合。因此，我们有理由相信，由于它们的非线性相互作用，在玻色网凝结过程中可能存在非平凡的行为，并且在合适的实验室环境中可以观察到这些影响。
We study the collision dynamics of two Bose-Einstein condensates with their dynamical wave functions modeled by a set of coupled, time-dependent Gross-Pitaevskii equations. Beginning with an effective one-dimensional system, we identify regimes characterized by the relationship between inter- and intra-atomic interactions and the initial configuration of the system, akin to the equilibrium phase diagram of two interacting Bose condensates. We consider a dynamical setup in which two wave packets are initially at rest with a small separation about the center of an asymmetric harmonic trap. Upon release, we observe a rapid approach to dynamical equilibrium in the limits of very large and very small inter-particle repulsion, characterized by periodic transmission or reflection of the condensates as distinguishable units, whereas the intermediate, critical regime is characterized by extended transient dynamics, density fracturing, and dynamical mixing. We therefore have reason to believe that non-trivial behavior may exist during the collisions of Bose-Einstein condensates as a result of their non-linear interactions, and these effects may be observable in a suitable laboratory environment.
