Role of non-Gaussian quantum fluctuations in neutrino entanglement
Role of non-Gaussian quantum fluctuations in neutrino entanglement
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DOI：
10.1103/physrevd.106.123006
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发表时间：
2022-05
影响因子：
5
通讯作者：
D. Lacroix;A. Balantekin;Michael J. Cervia;A. Patwardhan;P. Siwach
中科院分区：
文献类型：
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作者：
D. Lacroix;A. Balantekin;Michael J. Cervia;A. Patwardhan;P. Siwach
中微子在大中微子数密度环境中的演化是天体物理学和中微子演化物理学研究的一个热点问题。在与此相关的许多未解问题中，中微子-中微子相干散射是否能引起中微子之间的非平凡量子纠缠，以及这是否能以有意义的方式影响中微子的演化，仍然有待确定。为了进一步深入了解这个问题，在这里，我们研究了一个简单的系统的两个相互作用的中微子束，并获得精确的相空间探索这个系统使用的Husimi准概率分布。我们观察到，耦合引起的纠缠导致了强的离域在相空间中的很大程度上非高斯量子涨落。中微子纠缠和量子涨落之间的联系，说明使用一个和两个中微子熵。此外，我们提出了一种近似相空间方法来描述相互作用中微子问题，其中精确的演化被替换为一组独立的平均场演化，具有初始条件的统计采样。相空间方法提供了一种简单而精确的方法来描述中微子纠缠问题的总体特征。应用程序显示使用时间无关和时间相关的哈密顿在非绝热制度。
The flavor evolution of neutrinos in environments with large neutrino number densities is an open problem at the nexus of astrophysics and neutrino flavor physics. Among the many unanswered questions pertaining to this problem, it remains to be determined whether neutrino-neutrino coherent scattering can give rise to nontrivial quantum entanglement among neutrinos, and whether this can affect the flavor evolution in a meaningful way. To gain further insight into this question, here we study a simple system of two interacting neutrino beams and obtain the exact phase-space explored by this system using the Husimi quasi-probability distribution. We observe that the entanglement induced by the coupling leads to strong delocalization in phase-space with largely non-Gaussian quantum fluctuations. The link between the neutrino entanglement and quantum fluctuations is illustrated using the one- and two-neutrino entropy. In addition, we propose an approximate phase-space method to describe the interacting neutrinos problem, where the exact evolution is replaced by a set of independent mean-field evolutions with a statistical sampling of the initial conditions. The phase-space approach provides a simple and accurate method to describe the gross features of the neutrino entanglement problem. Applications are shown using time-independent and time-dependent Hamiltonians in the non-adiabatic regime.