On a possible EPR experiment with $B^{0}_{d}\overline{B^{0}_{d}}$ pairs

Abstract

A very general local realistic theory of single B 0 d mesons and of correlated B 0 d B 0 d pairs is formulated. If these pairs are produced in the Υ(4S) decay, the local realistic asymmetry for observing pairs with like and unlike flavour at different proper times remarkably differs from the quantum mechanical prediction. Asymmetric B-factories provide a powerful tool for the study of the EPR problem since the relative detection experiments are shown to be capable of a time-dependent measurement precise enough to discriminate between local realism and quantum theory.

Decoherence of entangled kaons and its connection to entanglement measures

“…(4.7)), i.e.ρ N = ρ N and thus ρ NρN = ρ 2 N , we get for the concurrence 24) and for the fully entangled fraction of ρ N (t) 25) which is simply the largest eigenvalue of ρ N (t). Clearly, in our case the functions C and f are related by…”

Measurement of Einstein-Podolsky-Rosen-Type Flavor Entanglement inΥ(4S)→B0B¯0Decays

“…Related studies have been performed in the K-meson system [8,9] to test decoherence [10] effects; Υ(4S) → B 0 B 0 data have also been analyzed, but using time-integrated information only [11]. Here, we use information on reconstructed B-meson decay times to test both decoherence and the Pompili-Selleri model [12], which represents a range of possible local hidden-variable theories [13].…”

“…By contrast, we can consider Spontaneous Disentanglement (SD), an extreme case of decoherence, in which the B-meson pair immediately separates into a B 0 and B 0 with well-defined flavour, which then evolve independently [16]. The asymmetry becomes [10,16], and (PSmin to PSmax) the range of asymmetries allowed by the Pompili-Selleri model [12]. ∆m d = 0.507 ps −1 is assumed [24].…”

“…In the model of Pompili and Selleri (PS) [12], each B has well-defined flavour, B 0 or B 0 , and mass, corresponding to the heavy and light B 0 -B 0 eigenstates. There are thus four basic states:…”

Bell’s Inequality Tests with Meson–Antimeson Pairs

“…Over the past ten years or so there has been an increased interest on the possibility to test LR vs QM in particle physics, i.e., by using entangled neutral kaons [21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38] or B-mesons [39][40][41][42][43]. This is also a manifestation of the desire to go beyond the usually considered spin-singlet case and to have new entangled systems made of massive particles with peculiar quantum-mechanical properties.…”