Violation of the Leggett-Garg Inequality in Neutrino Oscillations

Abstract

The Leggett-Garg inequality, an analogue of Bell's inequality involving correlations of measurements on a system at different times, stands as one of the hallmark tests of quantum mechanics against classical predictions. The phenomenon of neutrino oscillations should adhere to quantum-mechanical predictions and provide an observable violation of the Leggett-Garg inequality. We demonstrate how oscillation phenomena can be used to test for violations of the classical bound by performing measurements on an ensemble of neutrinos at distinct energies, as opposed to a single neutrino at distinct times. A study of the MINOS experiment's data shows a greater than $6\sigma$ violation over a distance of 735 km, representing the longest distance over which either the Leggett-Garg inequality or Bell's inequality has been tested.

Updated to match published version. 6 pages, 2 figures

References in corpus (4)

• Big-Bang Nucleosynthesis
• Significant-loophole-free test of Bell's theorem with entangled photons
• Measurement of the neutrino mass splitting and flavor mixing by MINOS
• Dynamical Pion Collapse and the Coherence of Conventional Neutrino Beams

Cited by in corpus (94)

• Advances in Quantum Cryptography
• Teleparallel Gravity: From Theory to Cosmology
• Entanglement and quantum tomography with top quarks at the LHC
• Quantum discord and steering in top quarks at the LHC
• Snowmass White Paper: Beyond the Standard Model effects on Neutrino Flavor
• Tuning entanglement by squeezing magnons in anisotropic magnets
• Quantum information and CP measurement in $H\to {\tau }^{+}{\tau }^{-}$ at future lepton colliders
• Leggett-Garg test of superconducting qubit addressing the clumsiness loophole
• Quantifying Quantum Coherence in Experimentally-Observed Neutrino Oscillations
• Leggett-Garg inequality in the context of three flavour neutrino oscillation
• A quantum information theoretic quantity sensitive to the neutrino mass-hierarchy
• Testing violation of the Leggett-Garg-type inequality in neutrino oscillations of the Daya Bay experiment
• Leggett-Garg macrorealism and the quantum nondisturbance conditions
• Wave packet approach to quantum correlations in neutrino oscillations
• Study of temporal quantum correlations in decohering B and K meson systems
• Three Flavoured neutrino oscillations and the Leggett Garg Inequality
• Probing various formulations of macrorealism for unsharp quantum measurements
• Assessing the quantumness of a damped two-level system
• Complete complementarity relations for quantum correlations in neutrino oscillations
• Enhanced violations of Leggett-Garg inequalities in an experimental three-level system
• Characterization of Unruh Channel in the context of Open Quantum Systems
• Physics with Reactor Neutrinos
• Leggett-Garg Macrorealism and temporal correlations
• Neutrino Oscillations in a Quantum Processor
• Detecting violations of macrorealism when the original Leggett-Garg inequalities are satisfied
• Ambiguous measurements, signalling and violations of Leggett-Garg inequalities
• Inequivalent Leggett-Garg inequalities
• Entanglement and Bell nonlocality with bottom-quark pairs at hadron colliders
• Loophole free interferometric test of macrorealism using heralded single photons
• New Test of Neutrino Oscillation Coherence with Leggett-Garg Inequality
• Tri-Partite entanglement in Neutrino Oscillations
• Subtleties of witnessing quantum coherence in non-isolated systems
• Leggett-Garg tests of macro-realism for multi-particle systems including double-well Bose-Einstein condensates
• No-signaling-in-time as a condition for macrorealism: the case of neutrino oscillations
• The Leggett--Garg K3 quantity discriminates Dirac and Majorana neutrinos
• Leggett-Garg tests of macro-realism for dynamical cat-states evolving in a nonlinear medium
• Quantum Correlations in Neutrino Oscillation: Coherence and Entanglement
• Influence of equilibrium and nonequilibrium environments on macroscopic realism through the Leggett-Garg inequalities
• Probing inequivalent forms of Legget-Garg inequality in subatomic systems
• New physics effects on quantum coherence in neutrino oscillations
• From Boole to Leggett-Garg: Epistemology of Bell-type Inequalities
• Ticking-clock performance enhanced by nonclassical temporal correlations
• Coherence and mixedness of neutrino oscillations in a magnetic field
• Enhanced violation of Leggett-Garg Inequality in three flavour neutrino oscillations via non-standard interactions
• Single system based generation of certified randomness using Leggett-Garg inequality
• Leggett-Garg tests for macrorealism in the quantum harmonic oscillator and more general bound systems
• Quantum witness and invasiveness of cosmic neutrino measurements
• NSI effects on tripartite entanglement in neutrino oscillations
• Neutrinos as qubits and qutrits
• Temporal correlation beyond quantum bounds in non-hermitian dynamics
• Quantum coherence and entanglement in neutral-current neutrino oscillation in matter
• Leggett-Garg violations for continuous variable systems with gaussian states
• Gravitational Effects on Quantum Coherence in Neutrino Oscillation
• Trade-off relations of quantum resource theory in neutrino oscillations
• How Does Nature Accomplish Spooky Action at a Distance?
• Can NSI affect non-local correlations in neutrino oscillations?
• Mass-Independent Scheme to Test the Quantumness of a Massive Object
• Quantum Spread Complexity in Neutrino Oscillations
• Wigner Inequalities for Test of Hypothesis of Realism and Concepts of Macroscopic and Local Realism
• Mesoscopic and macroscopic quantum correlations in photonic, atomic and optomechanical systems
• Cooling and entanglement of multimode graphene resonators via vacuum fluctuations
• Quantum discord and entropic measures of two relativistic fermions
• Neutrino Oscillations at JUNO, the Born Rule, and Sorkin's Triple Path Interference
• Connecting measurement invasiveness to optimal metrological scenarios
• Violation of LGtI inequalities in the light of NO$\nu$A and T2K anomaly
• Effects of nonstandard interaction on temporal and spatial correlations in neutrino oscillations
• Strict experimental test of macroscopic realism in a light-matter-interfaced system
• Quantum coherence in neutrino oscillation in matter
• Test of a hypothesis of realism in quantum theory using a bayesian approach
• Leggett-Garg inequalities and decays of unstable systems
• Observation of quantum temporal correlations well beyond Luders bound
• Tests of macrorealism in meson oscillation physics
• Proposal for a clumsiness-free test of macroscopic realism
• Quantum coherence in neutrino spin-flavor oscillations
• Neutrino Oscillations as a Probe of Macrorealism
• Probing Spin and Lifetime Correlations in Entangled Hyperon-AntiHyperon Pairs
• Quantum Correlations in NMR systems
• The Leggett-Garg inequality and Page-Wootters mechanism
• Neutrino Flavour Waves Through the Quantum Vacuum: A Theory of Oscillations
• Steering in Neutrino Oscillations with Non-Standard Interaction
• Exploring Quantumness at Long-Baseline Neutrino Experiments
• Constraints on a Generalization of Geometric Quantum Mechanics from Neutrino and $B^0$-$\overline{B^0}$ Oscillations
• Classical model of quantum interferometry tests of macrorealism
• Imprints of LGI violation in Mesons
• Violation of the Leggett-Garg inequality for dynamics of a Bose-Einstein condensate in a double-well potential
• Characterizing High-Dimensional Optical Systems with Applications in Compressive Sensing and Quantum Data Locking
• Impact of Scalar NSI on Spatial and Temporal Correlations in Neutrino Oscillations
• Spatial Leggett-Garg inequalities
• Violation of the Leggett-Garg inequality in photon-graviton conversion
• Genuine tripartite entanglement in Bhabha scattering with an entangled spectator particle
• Spread Complexity of High Energy Neutrino Propagation over Astrophysical Distances
• Dynamical redistribution of quantum resources in tree-level Bhabha scattering
• Quantumness of electron transport in quantum dot devices through Leggett-Garg inequalities: A non-equilibrium Green's function approach
• Probability vector representation of the Schrödinger equation and Leggett-Garg-type experiments