  We study the Anti-Unruh effect in general stationary scenarios. We find that,
for accelerated trajectories, a particle detector coupled to a KMS state of a
quantum field can cool down (click less often) as the KMS temperature
increases. Remarkably, this is so even when the detector is switched on
adiabatically for infinitely long times. We also show that the Anti-Unruh
effect is characteristic of accelerated detectors, and cannot appear for
inertially moving detectors (e.g., in a thermal bath).
