Test of Nonlocal Hidden Variable Theory by Leggett Inequality in High Energy Physics
arXiv:2003.04669 · doi:10.1103/PhysRevD.101.096016
Abstract
The Leggett inequality is a constraint on the bipartite correlation that admits certain types of non-localities. Existing tests mainly focused on the electromagnetic systems where measurement apparatus are assumed to be projective and sharp. However, in nature there are interactions that do not obey the same conservation laws for photon, and the actual measurements may subject to unavoidable uncertainties due to the fundamental physical principles. In this work, we generalize the Leggett inequality to incorporate the measurements that are unsharp and/or biased. It is found that the parity violation in nature provides a spontaneous implementation of an unsharp measurement for the spin of hyperon. A fine structured Leggett inequality for hyperon decays characterized by the asymmetry parameters is obtained and its violation is found which could be observed with the yet obtained data in experiment, like BESIII and Belle.
arXiv comment22 pages, 7 figures; published in Phys. Rev. D
References in corpus (13)
- Bell nonlocality
- An experimental test of non-local realism
- Universal Algorithm for Optimal Estimation of Quantum States from Finite Ensembles
- Optimal randomness certification from one entangled bit
- Testing quantum correlations versus single-particle properties within Leggett's model and beyond
- Experimental Falsification of Leggett's Non-Local Variable Model
- Experimental test of nonlocal realistic theories without the rotational symmetry assumption
- Entanglement, Bell Inequalities and Decoherence in Particle Physics
- Nonlocal Correlation of Spin in High Energy Physics
- Violation of a Bell inequality in particle physics experimentally verified?
- Entangled baryons: violation of Inequalities based on local realism assuming dependence of decays on hidden variables
- Weak Interaction Processes: Which Quantum Information is revealed?
- Testing Bell's Inequality using Charmonium Decays