  We study the influence of the environment-induced interatomic interaction,
which is usually neglected, on the entanglement dynamics of two uniformly
accelerated atoms coupled with fluctuating massless scalar fields in the
Minkowski vacuum. When the two-atom system is initially prepared in a separable
state such that the two atoms are in the ground and excited states
respectively, the environment-induced interatomic interaction assists
entanglement generation, in the sense that the parameter space of acceleration
and interatomic separation that allows entanglement generation is enlarged, the
rate of entanglement generation at the initial time is enhanced, and the
maximum of concurrence generated during evolution is increased compared with
when the environment-induced interaction is neglected. Remarkably, the rate of
entanglement generation at the initial time and the maximal concurrence
generated during evolution decrease monotonically with the acceleration, in
contrast to that they exhibit a nonmonotonic behavior as the acceleration
varies when the environment-induced interatomic interaction is neglected. In
other words, the anti-Unruh phenomenon in terms of the entanglement generation
is deprived of by the consideration of the environment-induced interatomic
interaction.
