Neutrino flavor-mass uncertainty relations and an entanglement-assisted determination of the PMNS matrix

• Verfasst von: Flörchinger, Stefan [VerfasserIn]
• Verfasst von: Schwindt, Jan-Markus [VerfasserIn]
• Titel: Neutrino flavor-mass uncertainty relations and an entanglement-assisted determination of the PMNS matrix
• Verf.angabe: Stefan Floerchinger and Jan-Markus Schwindt
• Fussnoten: Gesehen am 16.01.2019
• Titel Quelle: Enthalten in: De.arxiv.org
• Jahr Quelle: 2018
• Band/Heft Quelle: (2018) Artikel-Nummer 1811.06403, 17 Seiten
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1586277979

Abstract

As a result of a non-trivial mixing matrix, neutrinos cannot be simultaneously in a flavor and mass eigenstate. We formulate and discuss information entropic relations that quantify the associated quantum uncertainty. We also formulate a protocol to determine the Pontecorvo-Maki-Nakagawa-Sakata (PMNS) matrix from quantum manipulations and measurements on an entangled lepton-neutrino pair. The entangled state features neutrino oscillations in a conditional probability involving measurements on the lepton and the neutrino. They can be switched off by choosing a specific observable on the lepton side which is determined by the PMNS matrix. The parameters of the latter, including the CP-violating phase $\delta$, can be obtained by guessing them and improving the guess by minimizing the remaining oscillations.