论文标题
在振荡镜上弹跳的超冷原子中时间晶体现象的基础
Basis for time crystal phenomena in ultra-cold atoms bouncing on an oscillating mirror
论文作者
论文摘要
我们考虑了在引力场存在下在振荡镜上弹跳的1D系统的经典动力学。颗粒的行为像硬球，它们是由镜子驱动的。我们识别颗粒继续前进并得出有效的世俗哈密顿量以进行颗粒的共振运动。适当选择镜子的时间周期性振荡允许工程粒子的有效行为。特别是，该系统的行为可能像$ n $维的虚拟粒子以$ n $维的结晶结构移动。我们的经典分析构成了在振荡原子镜上弹跳的超冷原子中新型时间晶体现象的量子研究的基础。
We consider classical dynamics of a 1D system of $N$ particles bouncing on an oscillating mirror in the presence of gravitational field. The particles behave like hard balls and they are resonantly driven by the mirror. We identify the manifolds the particles move on and derive the effective secular Hamiltonian for resonant motion of the particles. Proper choice of time periodic oscillations of the mirror allows for engineering of the effective behaviour of the particles. In particular, the system can behave like a $N$-dimensional fictitious particle moving in an $N$-dimensional crystalline structure. Our classical analysis constitutes a basis for quantum research of novel time crystal phenomena in ultra-cold atoms bouncing on an oscillating atom mirror.
