论文标题
相对论向量玻色子系统的铃铛型不平等
Bell-type inequalities for systems of relativistic vector bosons
论文作者
论文摘要
我们对可能违反各种贝尔型不等式的矢量玻色子 - 抗体对系统进行详细分析。考虑到两部分系统的总体标态状态的一般情况,我们确定了两个不同的类别,并确定每个状态的共同概率。我们计算CHSH,MERMIN和CGLMP不平等的期望值,并发现,尽管预期的任何标量状态都不会违反广义的CHSH不平等现象,但如果Mermin和CGLMP不平等,情况是不同的,但这些不平等可能会违反某些标质状态,而这些不平等可能会违反其他情况。此外,违规程度取决于两个粒子的相对速度。
We perform a detailed analysis of the possible violation of various Bell-type inequalities for systems of vector boson-antiboson pairs. Considering the general case of an overall scalar state of the bipartite system, we identify two distinct classes of such states, and determine the joint probabilities of spin measurement outcomes for each them. We calculate the expectation values of the CHSH, Mermin and CGLMP inequalities and find that while the generalised CHSH inequality is not expected to be violated for any of the scalar states, in the case of the Mermin and CGLMP inequalities the situation is different -- these inequalities can be violated in certain scalar states while they cannot be violated in others. Moreover, the degree of violation depends on the relative speed of the two particles.