A fully general open quantum system description of arbitrarily complex oscillating and decaying neutrino systems is developed and shown to be implementable via Lindblad equations, Liouvillian superoperators, and Kraus operators.
Decoherence, matter effect, neutrino hierarchy signature in long baseline experiments
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abstract
Environmental decoherence of oscillating neutrinos of strength $\Gamma = (2.3 \pm 1.1) \times 10^{-23}$ GeV can explain how maximal $\theta_{23}$ mixing observed at 295 km by T2K appears to be non-maximal at longer baselines. As shown recently by R. Oliveira, the MSW matter effect for neutrinos is altered by decoherence: In normal (inverted) mass hierarchy, a resonant enhancement of $\nu_{\mu} (\bar{\nu}_{\mu}) \rightarrow \nu_{e} (\bar{\nu}_{e})$ occurs for $6 < E_{\nu} < 20$ GeV. Thus decoherence at the rated strength may be detectable as an excess of charged-current $\nu_{e}$ events in the full $\nu_{\mu}$ exposures of MINOS+ and OPERA.
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Extends linear toy model of gravitational decoherence to sinus-like Weyl couplings, derives master equation via two correlation-function methods, and solves the renormalised equation.
Two bases for the neutrino decoherence matrix yield identical vacuum probabilities at small Gamma but diverge at large Gamma or with strong matter effects, altering chi-squared sensitivities at DUNE and P2SO.
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Generalising gravitationally induced decoherence beyond linear environmental interactions in a microscopic quantum mechanical toy model
Extends linear toy model of gravitational decoherence to sinus-like Weyl couplings, derives master equation via two correlation-function methods, and solves the renormalised equation.