$δ$反冲转子共振的亚傅立叶特性
Sub-Fourier characteristics of a $δ$-kicked rotor resonance
摘要：
我们通过测量暴露于周期性脉冲驻波的玻色-爱因斯坦凝聚体（BEC）的保真度或重叠，实验研究了$δ$ -反冲转子共振的亚傅立叶行为。以Talbot时间和零初始动量为中心的保真度共振峰的时间宽度与相同共振下的平均能量宽度的$1/N^{2}$依赖性相比，表现出立方脉冲数倒数（$1/N^{3}$）依赖性缩放。理论分析表明，对于一个加速电位的共振在加速空间的宽度取决于$1/N^{3}$，一个属性，我们也验证了实验。这种亚傅立叶效应对于高精度重力测量是有用的。
英文摘要：
We experimentally investigate the sub-Fourier behavior of a $δ$-kicked rotor resonance by performing a measurement of the fidelity or overlap of a Bose-Einstein condensate (BEC) exposed to a periodically pulsed standing wave. The temporal width of the fidelity resonance peak centered at the Talbot time and zero initial momentum exhibits an inverse cube pulse number ($1/N^{3}$) dependent scaling compared to a $1/N^{2}$ dependence for the mean energy width at the same resonance. A theoretical analysis shows that for an accelerating potential the width of the resonance in acceleration space depends on $1/N^{3}$, a property which we also verify experimentally. Such a sub-Fourier effect could be useful for high precision gravity measurements.
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