Finite-time Unruh-DeWitt detector transition rate decomposes into time-independent thermal terms and oscillatory non-thermal transients; thermalization time is exponentially large for small accelerations and inversely proportional to energy gap for large accelerations.
If one demands a small value, say, δ ≪ 1, for the non-thermal parameter, εnt, i.e., εnt = δ, then we find the corresponding thermalization-time, τth, to be τth ∼ 1 ∆Eδ
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Finite-time Unruh effect: Waiting for the transient effects to fade off
Finite-time Unruh-DeWitt detector transition rate decomposes into time-independent thermal terms and oscillatory non-thermal transients; thermalization time is exponentially large for small accelerations and inversely proportional to energy gap for large accelerations.