Li Jing, Chen Xi, Ruschhaupt Andreas
Department of Physics, University College Cork, Cork, T12 H6T1 Ireland.
Department of Physical Chemistry, University of the Basque Country UPV/EHU, Apartado 644, 48080 Bilbao, Spain.
Philos Trans A Math Phys Eng Sci. 2022 Dec 26;380(2239):20210280. doi: 10.1098/rsta.2021.0280. Epub 2022 Nov 7.
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 centre 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. This article is part of the theme issue 'Shortcuts to adiabaticity: theoretical, experimental and interdisciplinary perspectives'.
我们提出了一种方法，可在非简谐势阱中且存在原子-原子相互作用的情况下，在短时间内无残余激发地传输玻色-爱因斯坦凝聚体（BEC）。通过变分方法和逆工程方法相结合，我们推导了一组类厄马克夫方程，该方程考虑了质心运动与呼吸模式之间的耦合。然后，通过对这些方程采用适当的逆工程策略，我们设计阱轨迹以实现所需的边界条件。给出了立方或四次非简谐性的数值示例，用于BEC的快速和高保真传输。潜在应用包括原子干涉测量和量子信息处理。本文是主题为“绝热捷径：理论、实验和跨学科视角”的一部分。
