The paper derives a density-matrix perturbation formula for two-state non-adiabatic transitions that reproduces the Landau-Zener result only to first order.
Relic neutrino asymmetry evolution from first principles
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abstract
The exact Quantum Kinetic Equations for a two-flavour active-sterile neutrino system are used to provide a systematic derivation of approximate evolution equations for the relic neutrino asymmetry. An extension of the adiabatic approximation for matter-affected neutrino oscillations is developed which incorporates decoherence due to collisions. Exact and approximate expressions for the decoherence and repopulation functions are discussed. A first pass is made over the exact treatment of multi-flavour partially incoherent oscillations.
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2026 1verdicts
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Non-adiabatic transitions in the density matrix formalism
The paper derives a density-matrix perturbation formula for two-state non-adiabatic transitions that reproduces the Landau-Zener result only to first order.