Understanding gravitationally induced decoherence parameters in neutrino oscillations using a microscopic quantum mechanical model

Abstract

In this work, a microscopic quantum mechanical model for gravitationally induced decoherence introduced by Blencowe and Xu is investigated in the context of neutrino oscillations. The focus is on the comparison with existing phenomenological models and the physical interpretation of the decoherence parameters in such models. The results show that for neutrino oscillations in vacuum gravitationally induced decoherence can be matched with phenomenological models with decoherence parameters of the form ${\Gamma }_{ij}\sim \Delta m_{ij}^4{E}^{-2}$. When matter effects are included, the decoherence parameters exhibit a dependence on the varying matter density across the Earth layers. This behavior can be explained by the nature of the coupling between neutrinos and the gravitational wave environment, as suggested by linearised gravity. On a theoretical level, these different models can be characterised by a different choice of Lindblad operators, with the model with decoherence parameters that do not include matter effects being less suitable from the point of view of linearised gravity. Consequently, in the case of neutrino oscillations in matter, the microscopic model does not agree with many existing phenomenological models that assume constant decoherence parameters in matter. Nonetheless, we identify the KamLAND experimental setup as particularly well-suited to establish the first experimental constraints on the model parameters, namely the neutrino coupling to the gravitational wave environment and its temperature, based on a prior analysis using the phenomenological model.

28 pages, 9 figures. v4: The text has been updated with minor changes to bring it into line with the published version, added Sec. 3.2 and Fig. 5, updated some references. v3: updated the color of the axis in Fig. 1, extended the discussion in the conclusion and updated some references

References in corpus (14)

• Gravitational Decoherence
• Probing non-standard decoherence effects with solar and KamLAND neutrinos
• Reconciling results of LSND, MiniBooNE and other experiments with soft decoherence
• Quantum-Gravity Decoherence Effects in Neutrino Oscillations: Expected Constraints from CNGS and J-PARC
• Methods of approaching decoherence in the flavour sector due to space-time foam
• Decoherence, matter effect, neutrino hierarchy signature in long baseline experiments
• Gravitational Decoherence: A Thematic Overview
• Neutrino oscillation bounds on quantum decoherence
• Gravitational decoherence of photons
• Searching for Decoherence from Quantum Gravity at the IceCube South Pole Neutrino Observatory
• Damping signatures at JUNO, a medium-baseline reactor neutrino oscillation experiment
• A gravitationally induced decoherence model using Ashtekar variables
• Neutrino Decoherence from Generalised Uncertainty
• Non-perturbative treatment of open-system multi-time expectation values in Gaussian bosonic environments

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• Effects of quantum geometry on the decoherence induced by black holes
• Horizon quantum geometries and decoherence
• Neutrino Decoherence via Modified Dispersion
• Impact of different neutrino decoherence formalisms at the future long-baseline Experiments