论文标题
针孔干扰三维模糊空间
Pinhole interference in three-dimensional fuzzy space
论文作者
论文摘要
我们研究了一种自然在模糊球体形式主义中，该量子到经典的过渡，用于三维非公共量子力学。这种过渡可以理解为逆转的机理，但不需要额外的外部热浴。我们专注于在这种形式主义中处理两针干扰构型，因为它提供了一个说明性的玩具模型，很容易观察和量化这种过渡。具体而言，我们证明了对穿过针孔的物体的量子干扰效应的抑制，并具有足够高的能量或数量的组成粒子。 我们的工作扩展了Pittaway和Scholtz（2021）在二维Moyal平面中对双缝实验的类似处理，只有它解决了在这种情况下出现的两个关键缺点。这些首先是，摩尔平面中的干扰模式缺乏针孔设置中存在的预期反射对称性，其次，在无摩尔平面中表现出的量子到经典过渡仅出现在不切实际的高速度和/或粒子上。这两个问题都在模糊的球体框架中解决。
We investigate a quantum-to-classical transition which arises naturally within the fuzzy sphere formalism for three-dimensional non-commutative quantum mechanics. This transition may be understood as the mechanism of decoherence, but without requiring an additional external heat bath. We focus on treating a two-pinhole interference configuration within this formalism, as it provides an illustrative toy model for which this transition is readily observed and quantified. Specifically, we demonstrate a suppression of the quantum interference effects for objects passing through the pinholes with sufficiently-high energies or numbers of constituent particles. Our work extends a similar treatment of the double slit experiment by Pittaway and Scholtz (2021) within the two-dimensional Moyal plane, only it addresses two key shortcomings that arise in that context. These are, firstly that the interference pattern in the Moyal plane lacks the expected reflection symmetry present in the pinhole setup, and secondly that the quantum-to-classical transition manifested in the Moyal plane occurs only at unrealistically high velocities and/or particle numbers. Both of these issues are solved in the fuzzy sphere framework.
