Thermality of the Unruh effect with intermediate statistics

Abstract

Utilizing quantum coherence monotone, we reexamine the thermal nature of the Unruh effect of an accelerating detector. We consider an UDW detector coupling to a n-dimensional conformal field in Minkowski spacetime, whose response spectrum generally exhibits an intermediate statistics of (1+1) anyon field. We find that the thermal nature of the Unruh effect guaranteed by KMS condition is characterized by a vanishing asymptotic quantum coherence. We show that the time-evolution of coherence monotone can distinguish the different thermalizing ways of the detector, which depends on the scaling dimension of the conformal primary field. In particular, for the conformal background with certain scaling dimension, we demonstrate that at fixed proper time a revival of coherence can occur even for growing Unruh decoherence. Finally, we show that coherence monotone has distinct dynamics under the Unruh decoherence and a thermal bath for a static observer.