Thermality of the Unruh effect with intermediate statistics

¹ School of Physics, Xi'an Jiaotong University - Xi'an 710049, China
² Institute of Theoretical Physics, Xi'an Jiaotong University - Xi'an, Shaanxi 710049, China

^(a) j.feng@xjtu.edu.cn (corresponding author)

Received: 11 December 2021
Accepted: 15 March 2022

Abstract

Utilizing quantum coherence monotone, we re-examine the thermal nature of the Unruh effect of an accelerating detector. We consider a UDW detector coupling to a n-dimensional conformal field in the Minkowski spacetime, whose response spectrum generally exhibits an intermediate statistics of the anyon field. We find that the thermal nature of the Unruh effect guaranteed by the 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 the growing Unruh decoherence. Finally, we show that coherence monotone has distinct dynamics under the Unruh decoherence and a thermal bath for a static observer.