  We have investigated the effect of counter-rotating terms on the dynamics of
entanglement and quantum discord between two identical atoms interacting with a
lossy single mode cavity field for a system initially in a vacuum state. The
counter-rotating terms are found to lead to steady states in the long time
limit which can have high quantum discord, but have no entanglement. The effect
of cavity decay rate on this steady state quantum discord has been also
investigated, surprisingly, the increase in cavity decay rate is found to both
enhance and maximize the steady quantum discord for separable states.
