论文标题
稀释系统中的重力量子塌陷
Gravitational quantum collapse in dilute systems
论文作者
论文摘要
彭罗斯（Penrose）提出，量子系统的重力波动的大波动是由于其在太空中的密度波动而引起的，可能会引起量子塌陷机制\ cite {penrose-1996}，但他没有在此过程中提出精确的动力学。我们使用GBC（引力Bohmian崩溃）模型\ Cite {GBC}，它提供了这种动力学。在普通的3D空间和配置空间中，研究了稀释量子系统中崩溃的影响。 我们首先讨论在量子测量过程中如何出现单个结果。 GBC模型预测了状态矢量的连续但非常快速的演变，在测量结束时，它重现了von Neumann投影的假设。这样可以确保模型与相对论的nosignaling约束保持兼容。在没有任何测量的情况下，我们研究了GBC过程的自发效应，该过程取决于可观察到与空间密度算子的量子相关函数。如果所选可观察到的是密度流体的局部电流，我们表明崩溃项以标量或张量形式导致牛顿力的修改。
Penrose has suggested that large fluctuations of the gravitational energy of quantum systems, resulting from fluctuations of its density in space, may induce a quantum collapse mechanism \cite{Penrose-1996}, but he did not propose a precise dynamics for this process. We use the GBC (Gravitational Bohmian Collapse) model \cite{GBC}, which provides such a dynamics. The effects of collapse in dilute quantum systems are investigated, both in ordinary 3D space and in configuration space. We first discuss how a single result appears during a quantum measurement. The GBC model predicts a continuous but very fast evolution of the state vector that, at the end of the measurement, reproduces the von Neumann projection postulate. This ensures that the model remains compatible with the relativistic nosignaling constraint. In the absence of any measurement, we study the spontaneous effects of the GBC process, which depend on the quantum correlation function of observables with the spatial density operator. If the selected observable is the local current of the density fluid, we show that the collapse term leads to modifications of the Newton force, in a scalar or tensor form.
