Coherence and mixedness of neutrino oscillations in a magnetic field
arXiv:2008.04727 · doi:10.1140/epjc/s10052-021-09039-2
Abstract
The radical departure from classical physics implies quantum coherence, i.e., coherent superposition of eigenstates of Hermitian operators with a discrete spectrum. In resource theory, quantum coherence is a resource for quantum operations. Typically the stochastic phenomenon induces decoherence effects. However, in the present work, we prove that nonunitary evolution leads to the generation of quantum coherence in some cases. Specifically, we consider the neutrino propagation in the dissipative environment, namely in a magnetic field with a stochastic component, and focus on neutrino flavor, spin and spin-flavor oscillations. We present exact analytical results for quantum coherence in neutrino oscillations quantified in terms of the relative entropy. Starting from an initial zero coherence state, we observe persistent oscillations of coherence during the dissipative evolution. We found that after dissipative evolution, the initial spin-polarized state entirely thermalizes, and in the final steady state, the spin-up/down states have the same probabilities. On the other hand, neutrino flavor states also thermalize, byt the populations of two flavor states do not equate to each other. The initial flavor still dominates in the final steady state
References in corpus (11)
- Measuring Quantum Coherence with Entanglement
- Frozen Quantum Coherence
- Entanglement in neutrino oscillations
- Maximally coherent mixed states: Complementarity between maximal coherence and mixedness
- Evolution of hydromagnetic turbulence from the electroweak phase transition
- Multipartite entangled states in particle mixing
- Leggett-Garg inequality in the context of three flavour neutrino oscillation
- Spin-flavor oscillations of ultrahigh-energy cosmic neutrinos in interstellar space: The role of neutrino magnetic moments
- Neutrino eigenstates and flavour, spin and spin-flavour oscillations in a constant magnetic field
- Neutrino quantum decoherence engendered by neutrino radiative decay
- Generation of coherence in an exactly solvable nonlinear nanomechanical system