Entropic uncertainty relation in neutrino oscillations
- PDF / 801,311 Bytes
- 9 Pages / 595.276 x 790.866 pts Page_size
- 84 Downloads / 221 Views
Regular Article - Theoretical Physics
Entropic uncertainty relation in neutrino oscillations Dong Wang1,2,a
, Fei Ming1, Xue-Ke Song1, Liu Ye1,b , Jing-Ling Chen3,c
1
School of Physics and Material Science, Anhui University, Hefei 230601, People’s Republic of China CAS Key Laboratory of Quantum Information, University of Science and Technology of China, Hefei 230026, People’s Republic of China 3 Theoretical Physics Division, Chern Institute of Mathematics, Nankai University, Tianjin 300071, People’s Republic of China
2
Received: 3 June 2020 / Accepted: 25 August 2020 © The Author(s) 2020
Abstract Neutrino oscillation is deemed as an interesting physical phenomenon and shows the nonclassical features made apparently by the Leggett–Garg inequality. The uncertainty principle is one of the fundamental features that distinguishes the quantum world to its classical counterpart. And the principle can be depicted in terms of entropy, which forms the so-called entropic uncertainty relations (EUR). In this work, the entropic uncertainty relations that are relevant to the neutrino-flavor states are investigated by comparing the experimental observation of neutrino oscillations to predictions. From two different neutrino sources, we analyze ensembles of reactor and accelerator neutrinos for different energies, including measurements performed by the Daya Bay collaboration using detectors at 0.5 and 1.6 km from their source, and by the MINOS collaboration using a detector with a 735km distance to the neutrino source. It is found that the entropy-based uncertainty conditions strengths exhibits nonmonotonic evolutions as the energy increases. We also quantify the systemic quantumness measured by quantum correlation, and derive the intrinsic relationship between quantum correlation and EUR. Furthermore, we utilize EUR as a criterion to detect entanglement of neutrino-flavor state. Our results could illustrate the potential applications of neutrino oscillations on quantum information processing in the weakinteraction processes.
1 Introduction The intriguingly physical phenomena of neutrino oscillations were proposed over half a century ago [1–3]. Subsequently, some experimental collaboration groups achieved the convincing evidences of the transitions among various neutrino flavors from the various neutrino sources, including solar a e-mail:
[email protected] (corresponding author)
b e-mail:
[email protected]
c e-mail:
[email protected]
0123456789().: V,-vol
neutrinos [4–6], atmospheric neutrinos [7,8], reactor neutrinos [9,10] and accelerator neutrinos [11–14]. In the regime of three generation neutrinos, neutrinos and antineutrinos can be simultaneously generated and they are available in the different kinds of flavors, namely, the electron e, muon μ and tau τ neutrinos [15]. The interestingly physical details of neutrinos have been revealed on measuring and analyzing the refined oscillations parameters [16–19]. Generally, the so-called neutrino oscillation is a physical process that one flavor can transform to ano
Data Loading...
