Quantum-entanglement production in a micromaser

Abstract

We show that a micromaser can work as an effective source of highly correlated atoms. We consider a one-photon micromaser pumped by a Poissonian beam of atomic pairs. We show that the atoms forming the pairs leave the micromaser's cavity in entangled states and that they can violate the Bell inequality. We consider two aspects of the violation of the Bell inequality: we study the maximal value ${\mathbf{B}}_{\mathrm{max}}$ of an expression appearing in the Bell inequality and we evaluate a vector-dependent $\mathbf{B}(\stackrel{\ensuremath{\rightarrow}}{a},{a}^{\ensuremath{'}},\stackrel{\ensuremath{\rightarrow}}{b},{b}^{\ensuremath{'}})$ depending upon experimental setup. We calculate the entanglement of the formation of states of the atomic pairs. We show that the pairs of atoms, which fly out from the micromaser cavity, are entangled for almost all values of control parameters characterizing the considered two-atom micromaser. This happens even if they do not violate the Bell inequality.