Exact conditions for antiUnruh effect in (1+1)-dimensional spacetime

TL;DR

This paper derives exact conditions for the antiUnruh effect in (1+1)-dimensional spacetime, revealing how switching functions influence its occurrence and showing its absence in (3+1)-dimensions for Gaussian switching.

Contribution

It provides the first exact analytical conditions for the antiUnruh effect in (1+1)-dimensional spacetime, highlighting the role of switching functions and dimensionality.

Findings

AntiUnruh effect occurs when energy gap matches characteristic time for Gaussian switching in (1+1)D.

For square wave switching, the condition depends on both energy gap and time scale.

No antiUnruh effect for Gaussian switching in (3+1)D spacetime.

Abstract

Exact conditions for antiUnruh effect in (1+1)-dimensional spacetime are obtained. For detectors with Gaussian switching functions, the analytic results are similar to previous ones, indicating that antiUnruh effect occurs when the energy gap matches the characteristic time scale. However, this conclusion does not hold for detectors with square wave switching functions, in which case the condition turns out to depend on both the energy gap and the characteristic time scale in some nontrivial way. We also show analytically that there is no antiUnruh effect for detectors with Gaussian switching functions in (3+1)-dimensional spacetime.