量子态之间的盲点
Blind spots between quantum states
摘要：
大量子态与它的图像的重叠，在微小的平移下，迅速振荡。我们在这里表明，完全正交性一般发生在孤立点。在马尔可夫近似中，消相干将相关最小值从零提升得比维格纳函数平滑到正相空间分布快得多。在相干态叠加的情况下，盲点强烈地依赖于分量的位置和振幅，但它们仅受相对相位和各种程度和方向的压缩的微弱影响。相干态三重态的盲点是特殊的，因为它们靠近六边形晶格：由一个子晶格的节点指定的平移三重态的进一步叠加与原始三重态和任何状态准正交，同样构建在另一个子晶格上。
英文摘要：
The overlap of a large quantum state with its image, under tiny translations, oscillates swiftly. We here show that complete orthogonality occurs generically at isolated points. Decoherence, in the Markovian approximation, lifts the correlation minima from zero much more quickly than the Wigner function is smoothed into a positive phase space distribution. In the case of a superposition of coherent states, blind spots depend strongly on positions and amplitudes of the components, but they are only weakly affected by relative phases and the various degrees and directions of squeezing. The blind spots for coherent state triplets are special in that they lie close to an hexagonal lattice: Further superpositions of translated triplets, specified by nodes of one of the sublattices, are quasi-orthogonal to the original triplet and to any state, likewise constructed on the other sublattice.
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