论文标题
在非谐波陷阱中快速运输Bose-Einstein
Fast transport of Bose-Einstein condensates in anharmonic traps
论文作者
论文摘要
我们提出了一种在非谐波陷阱中运输Bose-Einstein冷凝物(BEC)的方法,并且在短时间内存在原子 - 原子相互作用的情况下而没有残留激发。使用变分方法和反向工程方法的组合,我们得出了一组类似Ermakov的方程,这些方程式考虑了质量运动中心和呼吸模式之间的耦合。通过这些方程式的适当逆工程策略,我们然后设计陷阱轨迹以达到所需的边界条件。为BEC的快速和高保真运输提供了用于立方或四分之一的非谐性的数值示例。潜在的应用是原子干涉法和量子信息处理。
We present a method to transport Bose-Einstein condensates (BECs) in anharmonic traps and in the presence of atom-atom interactions in short times without residual excitation. Using a combination of a variational approach and inverse engineering methods, we derive a set of Ermakov-like equations that take into account the coupling between the center of mass motion and the breathing mode. By an appropriate inverse engineering strategy of those equations, we then design the trap trajectory to achieve the desired boundary conditions. Numerical examples for cubic or quartic anharmonicities are provided for fast and high-fidelity transport of BECs. Potential applications are atom interferometry and quantum information processing.