  We study the radiative process of two entangled two-level atoms uniformly
accelerated in a thermal bath, coupled to a massless scalar field. First, using
the positive frequency Wightman function from the Minkowski modes with a
Rindler transformation we provide the transition probabilities for the
transitions from maximally entangled symmetric and anti-symmetric Bell states
to the collective excited state in $(1+1)$ and $(1+3)$ dimensions. We observe a
possible case of \emph{anti-Unruh-like} event in these transition
probabilities, though the $(1+1)$ and $(1+3)$ dimensional results are not
completely equivalent. We infer that thermal bath plays a major role in the
occurrence of the anti-Unruh-like effect, as it is also present in the
transition probabilities corresponding to a single detector in this case.
Second, we have considered the Green's functions in terms of the Rindler modes
with the vacuum of Unruh modes for estimating the same. Here the anti-Unruh
effect appears only for the transition from the anti-symmetric state to the
collective excited state. It is noticed that here the $(1+1)$ and $(1+3)$
dimensional results are equivalent, and for a single detector, we do not
observe any anti-Unruh effect. This suggests that the entanglement between the
states of the atoms is the main cause for the observed anti-Unruh effect in
this case. In going through the investigation, we find that the transition
probability for a single detector case is symmetric under the interchange
between the thermal bath's temperature and the Unruh temperature for Rindler
mode analysis; whereas this is not the case for Minkowski mode. We further
comment on whether this observation may shed light on the analogy between an
accelerated observer and a real thermal bath. An elaborate investigation for
the classifications of our observed anti-Unruh effects is also thoroughly
demonstrated.
