论文标题
来自广义不确定性的中微子破坏性
Neutrino Decoherence from Generalised Uncertainty
论文作者
论文摘要
量子重力模型预测最小的可测量长度，从而导致不确定性原理的修改。这些广义不确定性原理的最简单表现之一是线性二次概括性不确定性原理，它导致修改后的海森伯格代数。这可以将密度矩阵的常用Von-Neumann演变转换为lindblad型方程。我们展示了这会导致真空中中微子繁殖的变质。线性二次概括性不确定性原理引起的破坏性效应极少，并且在任何自然中微子的自然来源的现有或即将实验的设施中不可能被检测到。我们还表明，原则上，可能还有其他普遍不确定性原理的变体，该变体可以预测宇宙中微子背景的可验证的破坏性效应。
Quantum gravity models predict a minimal measurable length which gives rise to a modification in the uncertainty principle. One of the simplest manifestations of these generalised uncertainty principles is the linear quadratic generalised uncertainty principle which leads to a modified Heisenberg algebra. This can alter the usual von-Neumann evolution of density matrix to a Lindblad-type equation. We show how this can give rise to a decoherence in neutrino propagation in vacuum. The decoherence effects due to the linear quadratic generalised uncertainty principle are extremely minimal and is unlikely to be detectable in the existing or upcoming experimental facilities for any of the natural sources of neutrinos. We also show that, in principle, there can be other variants of generalised uncertainty principle which predicts verifiable decoherence effects for the cosmic neutrino background.
