论文标题
关于量子相空间中线的形成
On the Formation of Lines in Quantum Phase Space
论文作者
论文摘要
我们研究了Wigner分布分布$ W的相空间中线的形成。$ $，而相位空间中的线路不会在经典系统中形成，除非选择了特殊的初始状态，否则我们发现，对于大量的系统和量子系统的初始状态，$ w $倾向于形成直线模式。这些来自国家的连贯性。其中一些线条具有惊人的程度，遍及整个州。我们表明，这种直线模式的形成是由于“随机网格状态”的形成。我们建立了它们对扰动的稳定性，并与配置空间中的干扰现象相关。我们还确定了相位空间中的通用高阶“眼”模式，因为它们需要形成更特定的规则网格状态，因此发生的频率较低。我们表明，眼睛模式的随机化倾向于将它们变形为线条。
We study the formation of lines in phase space in Wigner's distribution $W.$ Whereas lines in phase space do not form in classical systems, unless special initial states are chosen, we find, for large classes of systems and initial states of quantum systems that $W$ tends to form straight line patterns crisscrossing phase space. These arise from the states' coherences. Some of those lines have astonishing extent, reaching across the entire state. We show that the formation of such straight line patterns is due to the formation of 'randomized grid states'. We establish their stability to perturbations, and that they are tied to interference phenomena in configuration space. We additionally identify generic higher-order `eye' patterns in phase space which occur less often since they require the formation of more specific regular grid states; and we show that the randomization of eye patterns tends to deform them into lines.
