论文标题

大型现实主义的Leggett-Garg测试:干扰实验和简单的谐波振荡器

Leggett-Garg tests for macrorealism: interference experiments and the simple harmonic oscillator

论文作者

Halliwell, J. J., Bhatnagar, A., Ireland, E., Nadeem, H., Wimalaweera, V.

论文摘要

最初设计用于探索宏观尺度上的量子相干性的大牙(LG)测试。由谐波振荡器建模的干扰实验和系统提供了有用的情况,这些情况已经在实验中进行了宏观镜像,并且很容易将单个二分法可变的LG测试Q进行。将这种方法应用于双裂缝实验,其中包括在缝隙中进行非侵入性测量,包括我们的slits lg abor lg abor lg abor lg abor lg abor lg。我们发现这些违规总是伴随着破坏性的干扰。相反通常不是真的,我们发现存在破坏性干扰的非平凡制度,但是满足了两次LG不等式,这意味着实际上通常可以为干涉仪路径分配(间接确定)概率(间接确定)。在最近的工作中也观察到类似的特征,涉及对马赫德尔干涉仪的LG分析,我们与这些结果进行了比较。我们将分析扩展到再次发现LG违规的三重实验,我们还展示了LG不平等与NSIT条件之间一些令人惊讶的关系的例子,这些关系对于二分法变量而言不存在。对于简单的谐波振荡器,我们找到了一个可分析的典型示例,显示了具有高斯初始状态两次违规的违规行为,以更简单的形式与Bose等人的最新结果相呼应(Phys。Rev.Lett。120,210402(2018))。

Leggett-Garg (LG) tests for macrorealism were originally designed to explore quantum coherence on the macroscopic scale. Interference experiments and systems modelled by harmonic oscillators provide useful examples of situations in which macroscopicity has been approached experimentally and are readily turned into LG tests for a single dichotomic variable Q. Applying this approach to the double-slit experiment in which a non-invasive measurement at the slits is included, we exhibit LG violations. We find that these violations are always accompanied by destructive interference. The converse is not true in general and we find that there are non-trivial regimes in which there is destructive interference but the two-time LG inequalities are satisfied which implies that it is in fact often possible to assign (indirectly determined) probabilities for the interferometer paths. Similar features have been observed in recent work involving a LG analysis of a Mach-Zehnder interferometer and we compare with those results. We extend the analysis to the triple-slit experiment again finding LG violations, and we also exhibit examples of some surprising relationships between LG inequalities and NSIT conditions that do not exist for dichotomic variables. For the simple harmonic oscillator, we find an analytically tractable example showing a two-time LG violation with a gaussian initial state, echoing in simpler form recent results of Bose et al (Phys. Rev. Lett. 120, 210402 (2018)).

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源