Entangled coherent states and violations of Bell-CHSH inequalities

Abstract

Three classes of entangled coherent states are employed to study the Bell-CHSH inequality. By using pseudospin operators in infinite dimensional Hilbert spaces, four dichotomic operators (A,A′,B,B′) entering the inequality are constructed. For each class of coherent states, we compute the correlator 〈ψ|AB+A′B+AB′−A′B′|ψ〉, analyzing the set of parameters that leads to a Bell-CHSH inequality violation and, particularly, to the saturation of Tsirelson's bound.