Quantum Dissipation in a Neutrino System Propagating in Vacuum and in Matter

Abstract

Considering the neutrino state like an open quantum system, we analyze its propagation in vacuum or in matter. After defining what can be called decoherence and relaxation effects, we show that in general the probabilities in vacuum and in constant matter can be written in a similar way, which is not an obvious result in this approach. From this result, we analyze the situation where neutrinos evolution satisfies the adiabatic limit and use this formalim to study solar neutrinos. We show that the decoherence effect may not be bounded by the solar neutrino data and review some results in the literature. We discuss the current results where solar neutrinos were used to put bounds on decoherence effects through a model-dependent approach. We conclude explaining how and why this models are not general and we reinterpret these constraints.

new version: title was changend and was added a table. To appear at Nucl. Physic. B

References in corpus (2)

• Probing non-standard decoherence effects with solar and KamLAND neutrinos
• Quantum Dissipation and CP Violation in MINOS

Cited by in corpus (5)

• Decoherence and oscillations of supernova neutrinos
• Density Matrix Formalism for PT-Symmetric Non-Hermitian Hamiltonians with the Lindblad Equation
• Neutrino decoherence in an electron and nucleon background
• Neutrino decoherence in a fermion and scalar background
• Taming the pinch singularities in the two-loop neutrino self-energy in a medium