Revealing Bell’s nonlocality for unstable systems in high energy physics

Abstract

Entanglement and its consequences-in particular the violation of Bell inequalities, which defies our concepts of realism and locality-have been proven to play key roles in Nature by many experiments for various quantum systems. Entanglement can also be found in systems not consisting of ordinary matter and light, i.e. in massive meson-antimeson systems. Bell inequalities have been discussed for these systems, but up to date no direct experimental test to conclusively exclude local realism was found. This mainly stems from the fact that one only has access to a restricted class of observables and that these systems are also decaying. In this Letter we put forward a Bell inequality for unstable systems which can be tested at accelerator facilities with current technology. Herewith, the long awaited proof that such systems at different energy scales can reveal the sophisticated "dynamical" nonlocal feature of Nature in a direct experiment gets feasible. Moreover, the role of entanglement and CP violation, an asymmetry between matter and antimatter, is explored, a special feature offered only by these meson-antimeson systems.

Three-photon Entanglement from Ortho-Positronium Revisited

“…This means that our coefficients depend explicitly on the coordinates (Φ i ) even if we take θ i = π/2. Dependence on Φ i has also been noticed in [2] which appeared after the talk was given.…”

“…The main question regarding Hdet = 0 is whether this is possible in accordance with energymomentum conservation (see also [2]). This remains to be our future task.…”

“…J-PET (Jagellonian Positron Emission Tomograph) is a tomography machine based on positron-electron annihilation with novel technological assesoire. It can be used to test CP/T and CPT violation in the purely leptonic sector of positronium [1] and probably also in probing non-locality aspects of quantum mechanics by studying the three photon entanglement from the decay of ortho-positronium (which is a spin-1 bound state of electron-positron) [1,2]. It is the latter topic which we will discuss in this paper.…”

Bell’s Universe: A Personal Recollection

“…However, Beatrix and a group of experimentalists and theorists [203] succeeded to establish a generalized Bell inequality for the K 0K 0 system, which is violated by quantum mechanics in certain measurable time regions. In this case hidden variable theories are excluded.…”

Newtonian self-gravitation in the neutral meson system

“…[20]). For example, a violation of Bell's inequality that is only due to the breaking of a discrete symmetry resulting in a tiny difference between matter and antimatter properties has been discovered [21]. Or due to the existence of two distinct measurement procedures, a special feature of kaons, the very working of a quantum eraser [22,23] or Heisenbergs principle [24] can in a novel way be demonstrated.…”