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arXiv 1801.02500quant-phcond-mat.other
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非么正牛顿引力的两粒子模拟

A two-particle simulation of Nonunitary Newtonian Gravity

Giovanni Scelza, Filippo Maimone, Adele Naddeo

摘要:

本文给出了在非么正牛顿引力理论框架下两粒子相互作用的数值模拟结果。粒子被一个3维谐波陷阱紧紧地束缚在一起,并通过一个“电”δ势和普通牛顿项以及后者的波动非幺正对应项相互作用。基本非幺正性可以被看作是物理自由度与它们的(引力)隐藏副本的相互作用所产生的。从一个普通的设置内的能量本征态,它示出,而能量期望值保持不变,一个缓慢的净变化的冯诺伊曼熵的系统作为一个整体发生,与一个小的调制诱导的相对纠缠熵的两个粒子。此外,模拟明确显示了基本引力诱导熵如何与粗粒度熵的主观概念,即一个粒子相对于另一个粒子的“环境”的熵,清楚地区分开来。

英文摘要:

The result of a numerical simulation of two interacting particles in the framework of Nonunitary Newtonian Gravity is presented here. Particles are held close together by a 3-d harmonic trap and interact with each other via an `electrical' delta-like potential and via the ordinary Newtonian term, together with a fluctuational nonunitary counterpart of the latter. Fundamental nonunitarity can be seen as arising from the interaction of the physical degrees of freedom with (gravitational) hidden copies of them. Starting from an energy eigenstate within the ordinary setting, it is shown that, while energy expectation remains constant, a slow net variation of the von Neumann entropy for the system as a whole takes place, with a small modulation induced on the relative entanglement entropy of the two particles. Besides, the simulation shows explicitly how fundamental gravity-induced entropy can be clearly distinguished from the subjective notion of coarse-grained entropy, i.e. from the entropy of one particle with respect to the `environment' of the other.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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