Nonperturbative Squeezed and Entangled Collinear Gluon States

Abstract

We consider for the first time nonperturbative gluon state evolution up to the second order of smallness in time. Investigating gluon fluctuations at the nonperturbative stage we have proved theoretically the possibility of the existence of both single- and two-mode gluon squeezed states. The emergence of such remarkable states becomes possible owing to three-and four-gluon self-interactions. The three-gluon self-interaction leads to the squeezing effect at the next time stage of nonperturbative evolution. We have shown that the nonperturbative evolution during a short time leads both to colour squeezing and entanglement of gluons.