Abstract
Several measures of quantum correlations such as Leggett–Garg and Bell-type inequalities have been extensively studied in the context of neutrino oscillations. However, these analyses are performed under the assumption of standard model (SM) interactions of neutrinos. In this work, we study new physics effects on \(l_1\)-norm based measure of quantum coherence which quantifies the quantumness embedded in the system and is also intrinsically related to various measures of quantum correlations. Moreover, it is considered to be a resource theoretical tool which can be utilized in quantum algorithms and quantum channel discrimination. The new physics effects are incorporated in a model independent way by using the effective Lagrangian for the neutral current non-standard neutrino interactions (NSI). Bounds on the NSI parameters are extracted from a recent global analysis of oscillation experiments including COHERENT (coherent neutrino-nucleus scattering experiment) data. In the context of upcoming DUNE experimental setup, we find that the most favourable combination of LMA-Light sector of \(\theta _{12}\) (i.e., \(\theta _{12}< 45^{\circ }\)) with normal mass ordering decreases the coherence in the system in comparison to the SM prediction for all values of neutrino energy E and CP violating phase \(\delta \) (except in the narrow region around \(E \sim \) 2 GeV). On the other hand, a large enhancement in the value of coherence parameter in the entire \((E-\delta )\) plane is possible for the dark octant of \(\theta _{12}\) (\(\theta _{12}> 45^{\circ }\)) with inverted ordering. For almost all values of CP violating phase, the enhancement is more protuberant in the region around \(E \sim \) 4 GeV where maximum neutrino flux is expected in the DUNE experiment. Therefore for the normal mass ordering, the SM interaction provides favourable conditions for quantum information tasks while the NSI favours inverted ordering scenario for such tasks.
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Notes
Although the dynamics of the mesonic system is also driven by weak interactions, owing to its short lifetime, this system would be more suitable for understanding foundational issues rather than having any applicational implications.
Solar neutrino data is found to disfavor the LMA-Dark solution with confidence level below 2\(\sigma \). However, LMA-D provides an equally good fit to the LBL data (specifically T2K data). Hence we have considered LMA-Light with NO and LMA-Dark with IO as most favoured solutions.
We converted the unit of matter density potential from \(\mathrm{g/cm}^3\) to eV using \(A = 7.6 \times \,Y_e\, \rho \times 10^{-14} \), where \(Y_e = N_e/(N_e + N_n)\). Here \(N_e\) and \(N_n\) are the number densities of electrons and neutrons in the Earth and \(\rho \) is the matter density in \(\mathrm{g/cm}^3\). We then have \(Y_e \approx 0.48\) and \(\rho = 2.8\,\mathrm{g/cm}^3\) which are convenient for Earth’s matter as shown by Dziewonski et al. [69]. Hence, the value of A turns out to be \( \approx 1.01 \times 10^{-13}\) eV.
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Acknowledgements
We are thankful to the organizing committee of the IITB–ICTP Workshop on Neutrino Physics–2018 where initial ideas related to this work were generated. We would also like to thank S. Uma Sankar for providing useful insights into the non-standard interactions in neutrinos
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Dixit, K., Alok, A.K. New physics effects on quantum coherence in neutrino oscillations. Eur. Phys. J. Plus 136, 334 (2021). https://doi.org/10.1140/epjp/s13360-021-01311-4
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DOI: https://doi.org/10.1140/epjp/s13360-021-01311-4