在时周期相空间中测量次普朗克结构类似物
Measuring sub-Planck structural analogues in chronocyclic phase space
摘要：
某些量子态的相空间结构揭示了与普朗克面积相比尺度较小的结构。利用单光子波函数和经典超短光脉冲的电场之间的模拟，我们证明了光谱剪切干涉术可以直接测量这种结构。从而扩展了Praxmeyer等人的思想。特别是，我们使用多剪切光谱干涉术来充分表征由两个时间和光谱不相交的子脉冲组成的脉冲，而没有相对相位模糊。这使我们能够计算脉冲的维格纳分布。这张脉冲场的光谱图显示了相对于时间轴和频率轴都倾斜的条纹，这表明通常最短的亚普朗克距离可能不在正则方向上（并且很容易通过实验获得）。此外，独立于该取向，可以直接从测量的信号中提取结构的亚普朗克尺度的证据。
英文摘要：
The phase space structure of certain quantum states reveals structure on a scale that is small compared to the Planck area. Using an analog between the wavefunction of a single photon and the electric field of a classical ultrashort optical pulse we show that spectral shearing interferometry enables measurement of such structures directly. Thereby extending the idea of Praxmeyer et al. In particular, we use multiple-shear spectral interferometry to fully characterize a pulse consisting of two sub-pulses which are temporally and spectrally disjoint, without a relative-phase ambiguity. This enables us to compute the Wigner distribution of the pulse. This spectrographic representation of the pulse field features fringes that are tilted with respect to both the time- and frequency axes, showing that in general the shortest sub-Planck distances may not be in the directions of the canonical (and easily experimentally accessible) directions. Further, independent of this orientation, evidence of the sub-Planck scale of the structure maybe extracted directly from the measured signal.
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