Abstract
Working in the framework of the Color Glass Condensate effective theory of high energy QCD, we revisit the momentum space entanglement entropy of the soft gluons produced in high energy dilute-dense collisions. We extend the work of [1] by considering entropy produced in a single event. This entropy arises due to decoherence of eigenstates with different energies during the time evolution after the collisions with the target. We define it rigorously as the entanglement entropy of the produced system with the experimental apparatus. We compute the time dependent single event entropy in the limit of weak projectile field. Further we compute the entropy for the ensemble of events defined by the McLerran–Venugopalan model for the projectile wave function. Interestingly the entropy of the ensemble has a much weaker time dependence than the entropy in any single event. We attribute this feature to the so called monogamy of entanglement.
Highlights
Entanglement is a unique feature of quantum systems, which distinguishes them profoundly from classical ones
Since the bulk of hadronic degrees of freedom are entangled with those that are probed in the scattering process, they may effectively act as a thermal bath even though no actual thermalization occurs since there is no interaction in the final state [4, 5]
We have extended the approach of [1], by considering the entropy of the soft gluons system produced in a single event in high-energy p-A collisions
Summary
Entanglement is a unique feature of quantum systems, which distinguishes them profoundly from classical ones. Both computations are performed by resorting to the so-called replica trick.
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