# Manipulation of two quantum systems through their mutual interaction in presence of a radiation field. (arXiv:1802.01935v1 [quant-ph])

In cavity QED, the mutual interaction between natural atomic systems in

presence of a radiation field was ignored due to its negligible impact compared

with the coupling to the field. The newly engineered artificial atomic systems

(such as quantum dots and superconducting circuits) proposed for quantum

information processing enjoy strong interaction with same type of systems or

even with other types in hybrid structures, which is coherently controllable

and moreover they can be efficiently coupled to radiation fields. We present an

exact analytic solution for the time evolution of a composite system of two

interacting two-level quantum systems coupled to a single mode radiation field,

which can be realized in cavity (circuit) QED. We show how the non-classical

dynamical properties of the composite system are affected and can be tuned by

introducing and varying the mutual coupling between the two systems.

Particularly, the collapse-revival pattern shows a splitting during the revival

intervals as the coupling ratio (system-system to system-field) increases,

which is a sign of an interruption in the system-radiation energy exchange

process. Furthermore, the time evolution of the bipartite entanglement between

the two systems is found to vary significantly depending on the coupling ratio

as well as the initial state of the composite system resulting in either an

oscillatory behavior or a collapse-revival like pattern. Increasing the

coupling ratio enhances the entanglement, raises its oscillation average value

and emphasizes the collapse-revival like pattern. However, raising the coupling

ratio beyond unity increases the revival time considerably. The effect of the

other system parameters such as detuning and radiation field intensity on the

system dynamics has been investigated as well.