The categorization of quantum states for composite systems as either separable or entangled, or alternatively as Bell local or Bell non-local states based on local hidden variable theory is outlined, focusing on simple bipartite systems. The significance of states demonstrating Bell non-locality for settling the long standing controversy between the Copenhagen interpretation of the quantum measurement process involving “collapse of the wave-function” and the alternative interpretation based on pre-existing hidden variables is emphasized. Although experiments demonstrating violations of Bell locality in microscopic systems have now been carried out, there is current interest in finding Bell non-locality in quantum systems on a macroscopic scale, since this is a regime where a classical hidden variable theory might still apply. Progress towards finding macroscopic quantum states that violate Bell inequalities is reviewed. A new test for Bell non-locality that applies when the sub-system measured quantities are spin components with large outcomes is described, and applied to four mode systems of identical massive bosons in Bose-Einstein condensates.
机构:
Prince Sattam Bin Abdulaziz Univ, Coll Sci & Humanities Al Aflaj, Dept Math, Al Kharj, Saudi Arabia
Assiut Univ, Fac Sci, Assiut, EgyptPrince Sattam Bin Abdulaziz Univ, Coll Sci & Humanities Al Aflaj, Dept Math, Al Kharj, Saudi Arabia
Mohamed, A-B A.
Khalil, E. M.
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Taif Univ, Coll Sci, Dept Math, POB 11099, At Taif 21944, Saudi ArabiaPrince Sattam Bin Abdulaziz Univ, Coll Sci & Humanities Al Aflaj, Dept Math, Al Kharj, Saudi Arabia