标题： 用超振荡驱动量子系统 显示英文标题

标题： Driving Quantum Systems with Superoscillations

摘要： 超振荡，即一种带限函数可以暂时比其最高傅里叶分量更快振荡的现象，因其在突破衍射极限的“超分辨率”方面的潜力而受到广泛关注。 在这里，我们考虑那些以非共振方式随时间变化的系统，在傅里叶意义上是非共振的。 我们表明，超振荡源在源表现出超振荡期间可以暂时引起共振。 这一观察引发了这样一个问题：当整个源作用完毕且其带限性变得明显后，系统是如何“消除”这种“虚假共振”的？ 我们讨论了一些可能能够通过某些非谐波效应（如高频下的耗散或色散）提炼出临时激发的系统实例，这为通过超振荡实现低频检测“快速”微观物理现象打开了可能性。 我们得出结论，要么超振荡真的能够突破带限并实现超分辨率（“运动学超分辨率”），要么超振荡的高频成分被吸收，我们则通过低频信号获得了对高频过程物理现象的动力学访问（“动力学超分辨率”）。 显示英文摘要

摘要： Superoscillations, i.e., the phenomenon that a bandlimited function can temporary oscillate faster than its highest Fourier component, are being much discussed for their potential for `superresolution' beyond the diffraction limit. Here, we consider systems that are driven with a time dependence that is off-resonance for the system, in the Fourier sense. We show that superoscillating sources can temporarily induce resonance during the period when the source is behaving superoscillatory. This observation poses the question as to how the system `undoes' the `false resonance' after the full source has acted and its band limitation is apparent. We discuss several examples of systems which might be capable of distilling the temporary excitation through some non-harmonic effects, such as dissipation or dispersion at high frequencies, opening up the possibility of low frequency detection of `fast' microphysics through superoscillations. We conclude that, either superoscillations really can beat the bandlimit and achieve superresolution (`kinematic superresolution') or the superoscillating high frequency is absorbed and we gain dynamical access to the physics of high frequency processes with low frequency signals (`dynamical superresolution').