论文标题
时间依赖于动量或位置缩放的谐波电位
Time-dependent harmonic potentials for momentum or position scaling
论文作者
论文摘要
冷却方法和粒子慢速器以及加速器是基础研究和在不同领域和系统中应用的基本工具。我们提出了一种通用机制，可以通过瞬时谐波电位来扩展粒子的动量，无论其初始位置和动量如何。时间相关频率的设计利用了从“捷径到绝热性”绘制的线性不变和反向技术。该过程的时机可以事先确定，并分析其对系统演变和最终特征的影响。我们解决量子系统，但发现的协议也适用于经典粒子。对于位置缩放，也可以使用类似的过程。
Cooling methods and particle slowers as well as accelerators are basic tools for fundamental research and applications in different fields and systems. We put forward a generic mechanism to scale the momentum of a particle, regardless of its initial position and momentum, by means of a transient harmonic potential. The design of the time-dependent frequency makes use of a linear invariant and inverse techniques drawn from ''shortcuts to adiabaticity''. The timing of the process may be decided beforehand and its influence on the system evolution and final features is analyzed. We address quantum systems but the protocols found are also valid for classical particles. Similar processes are possible as well for position scaling.
