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

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arxiv 2305.11453 v1 pith:XFU57HFO submitted 2023-05-19 gr-qc

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

classification gr-qc
keywords antiunruheffectdetectorsdimensionalfunctionsspacetimeswitchingcharacteristic
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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