  In 4 dimensional Maxwell gauge theory, we study the changes of (Renyi)
entangle-ment entropy which are defined by subtracting the entropy for the
ground state from the one for the locally excited states generated by acting
with the gauge invariant local operators on the state. The changes for the
operators which we consider in this paper reflect the electric-magnetic
duality. The late-time value of changes can be interpreted in terms of
electromagnetic quasi-particles. When the operator constructed of both electric
and magnetic fields acts on the ground state, it shows that the operator acts
on the late-time structure of quantum entanglement differently from free scalar
fields.
