Abstract In this paper, we explore the quantum properties of three-flavor neutrino propagating in a Schwarzschild metric. It is found that the different strength of gravitational effects are obtained by adjusting the magnitude of
GM G M arising in the oscillation phase. Using the weak field approximations, we show that the gravitational effects can make the entanglement oscillates over a large rage when
GM=5.1×108Km GM = 5.1 × 10 8 Km and
GM=7×107Km GM = 7 × 10 7 Km , respectively, Moreover, for
GM=4.8×108Km GM = 4.8 × 10 8 Km and
GM=9.3×107Km GM = 9.3 × 10 7 Km , the suppression of the entanglement can be observed due to the gravitational effects. Meanwhile, in this case, the gravitational effects also make the distribution of entanglement tighter through investing the entanglement complete monogamy relation. Furthermore, we examine the gravitational effects on the violation of the Svetlichny inequality to study the nonlocality of the system. It is shown that when
GM=6×108Km GM = 6 × 10 8 Km and
GM=7×107Km GM = 7 × 10 7 Km , the gravitational effects make the Svetlichny parameters always greater than 4, implying that the genuine tripartite nonlocality of the system is always present. However, the gravitational effects also restrain the violation of the Svetlichny to make the regions of the absence of nonlocality increase. The gravitational effects on the monogamy property of nonlocality lies in the change of the effective bound of the maximum bipartite nonlocality of the neutrinos system. Therefore, our investigations may be helpful to understanding of quantumness of the neutrinos system in curved space-time.
The phenomena of particle mixing and flavor oscillations in elementary-particle physics can be addressed from the point of view of quantum information theory, and described in terms of multi-mode entanglement of single-particle states. In this paper we show that such a description can be extended to the domain of quantum field theory, where we uncover a fine structure of quantum correlations associated with multi-mode, multi-particle entanglement. By means of an entanglement measure based on the linear entropies associated with all the possible bipartitions, we analyze the entanglement in the states of flavor neutrinos and antineutrinos. Remarkably, we show that the entanglement is connected with experimentally measurable quantities, i.e. the variances of the lepton numbers and charges.
Abstract Neutrino oscillation is deemed as an interesting physical phenomenon and shows the nonclassical features made apparently by the Leggett–Garg inequality. The uncertainty principle is one of the fundamental features that distinguishes the quantum world to its classical counterpart. And the principle can be depicted in terms of entropy, which forms the so-called entropic uncertainty relations (EUR). In this work, the entropic uncertainty relations that are relevant to the neutrino-flavor states are investigated by comparing the experimental observation of neutrino oscillations to predictions. From two different neutrino sources, we analyze ensembles of reactor and accelerator neutrinos for different energies, including measurements performed by the Daya Bay collaboration using detectors at 0.5 and 1.6 km from their source, and by the MINOS collaboration using a detector with a 735km distance to the neutrino source. It is found that the entropy-based uncertainty conditions strengths exhibits non-monotonic evolutions as the energy increases. We also quantify the systemic quantumness measured by quantum correlation, and derive the intrinsic relationship between quantum correlation and EUR. Furthermore, we utilize EUR as a criterion to detect entanglement of neutrino-flavor state. Our results could illustrate the potential applications of neutrino oscillations on quantum information processing in the weak-interaction processes.
The phenomena of particle mixing and flavor oscillations in elementary-particle physics can be addressed from the point of view of quantum information theory, and described in terms of multi-mode entanglement of single-particle states. In this paper we show that such a description can be extended to the domain of quantum field theory, where we uncover a fine structure of quantum correlations associated with multi-mode, multi-particle entanglement. By means of an entanglement measure based on the linear entropies associated with all the possible bipartitions, we analyze the entanglement in the states of flavor neutrinos and antineutrinos. Remarkably, we show that the entanglement is connected with experimentally measurable quantities, i.e. the variances of the lepton numbers and charges.
Two of us (Marletto and Vedral 2017 Phys. Rev. Lett . 119 240402) recently showed how the quantum character of a physical system, in particular the gravitational field, can in principle be witnessed without directly measuring observables of that system, solely by its ability to mediate entanglement between two other systems. Here we propose a variant of that scheme, where the entanglement is again generated via gravitational interaction, but now between two particles both at sharp locations (very close to each other) but each in a superposition of two different masses. We discuss an in principle example using two hypothetical massive, neutral, weakly-interacting particles generated in a superposition of different masses. The key property of such particles would be that, like neutrinos, they are affected only by weak nuclear interactions and gravity.
Abstract We study the evolution of quantum correlations in a lepton-antineutrino pair, as produced in weak interactions (e.g. pion decay). Assuming an inital state entangled in the spins of the two particles, we show that both chiral and flavor (neutrino) oscillations affect spin correlations. Such corrections are relevant in the non-relativistic regime. In the second part we focused our attention on the weak process n + νe → p + e in which the results found in the previous sections could be observed.