QUANTUM ENTANGLEMENT BETWEEN DIFFERENT FLAVORS OF A NEUTRINO

Abstract

In quantum mechanics, entanglement is an interesting and important concept, serving as the cornerstone for various applications in quantum information sci ence. Non-locality is a crucial quantum correlation to study this quantum me chanical phenomenon. In the field of high energy physics there are numerous phenomenon which exhibits non-local behavior hence in our work we focused in entanglement of different flavor of neutrinos. Neutrino Oscillations is an in teresting quantum mechanical phenomenon in which a neutrino changes its flavor. Using the theoretical framework of neutrino oscillations, entangled state of two flavor and three flavor neutrinos is defined. The density matrix for entangled state is dependent on the oscillation probabilities of the neutrinos hence the quantum correlations are studied in terms of the transition and survival probabilities. To understand the quantum correlations between two flavors of a neutrino we used the theoretical framework of two flavor neutrino oscillation. The entangled state of a two flavor neutrino is defined by 4x4 density operator. Using the density operator of the entangled state of a two flavor neutrino, we studied the negativ ity to measure the intra-particle entanglement and quantify the entanglement for different neutrino oscillation experiments between two flavors of a neutrino. The dependence of entanglement on oscillation parameter L E is expressed analytically in order to analyze the different cases of intra-particle entanglement between the two flavors of a neutrino. We found that the entanglement between two flavors of a neutrino vanishes at extremely high energy. Therefore, we may predict that the two flavor of a neutrino may not be entangled when they pass through a high density matter such as neutron stars, supernovae etc. For three flavor neutrinos we use the svetlichny inequality and we the genuine tripartite entanglement by showing the genuine non-locality in three qubit state of the neutrinos. Lower bound and upper bound value of the svetlichny operator for the three qubit state violates the svetlichny inequality.