Quantum speed limit time of a uniformly accelerated Unruh-DeWitt detector
Abstract
Within the open quantum system formalism, using the Markovian process, we investigate the {\it quantum speed limit time} (QSLT) of a uniformly accelerated Unruh-DeWitt detector, interacting with the massless real scaler field. Three specific scenarios are being studied -- the field is in Minkowski spacetime (i) without any reflecting boundary but at a finite temperature, (ii) presence of single boundary with the detector is accelerating parallel to the plane of it, and (iii) presence of two boundaries with the detector is moving between them along the parallel direction. Interestingly, the behavior of QSLT appears to be very distinctive around a particular value of a. For the first scenario QSLT shows very noticeable change around a specific a and the required value of a corresponding to this change decreases with the increase of field temperature. In the other two scenarios, QSLT starts to fluctuate after a critical value of a. If we further increase a, more vigorous fluctuation emerges. The value of a required for the starting of the oscillation is much less for the double boundary case compared to the single boundary. Taking into account specific values of the distance between the boundaries and the detector's frequency, we estimate that the critical value of a can be as low as ∼ 105 m/s2 for the double boundary situation. We argue that such a distinctive feature in QSLT can be a fruitful tool to diagnose the Unruh effect.
Related
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- Tunable-Size Unruh-DeWitt Detector in a Multimode Cavity
- Boundary-induced corrections to the response of an Unruh-DeWitt detector outside a compact star with Robin surface conditions
- Asymptotic Decoherence of an Unruh--DeWitt Detector in de Sitter Spacetime: Conformal versus Minimal Coupling
- Phase-controlled recoverable entanglement in accelerated detector registers
BibTeX
@misc{ghosh2026quantum,
title = {{Quantum speed limit time of a uniformly accelerated Unruh-DeWitt detector}},
author = {Debasish Ghosh and Bibhas Ranjan Majhi},
howpublished = {arXiv},
year = {2026},
month = aug,
doi = {10.48550/arxiv.2608.27478},
eprint = {2608.27478},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.27478},
}
RIS
TY - UNPB
TI - Quantum speed limit time of a uniformly accelerated Unruh-DeWitt detector
AU - Debasish Ghosh
AU - Bibhas Ranjan Majhi
PY - 2026
DA - 2026/08/21
PB - arXiv
DO - 10.48550/arxiv.2608.27478
UR - https://arxiv.org/abs/2608.27478
AB - Within the open quantum system formalism, using the Markovian process, we investigate the {\it quantum speed limit time} (QSLT) of a uniformly accelerated Unruh-DeWitt detector, interacting with the massless real scaler field. Three specific scenarios are being studied -- the field is in Minkowski spacetime (i) without any reflecting boundary but at a finite temperature, (ii) presence of single boundary with the detector is accelerating parallel to the plane of it, and (iii) presence of two boundaries with the detector is moving between them along the parallel direction. Interestingly, the behavior of QSLT appears to be very distinctive around a particular value of a. For the first scenario QSLT shows very noticeable change around a specific a and the required value of a corresponding to this change decreases with the increase of field temperature. In the other two scenarios, QSLT starts to fluctuate after a critical value of a. If we further increase a, more vigorous fluctuation emerges. The value of a required for the starting of the oscillation is much less for the double boundary case compared to the single boundary. Taking into account specific values of the distance between the boundaries and the detector's frequency, we estimate that the critical value of a can be as low as ∼ 10^5 m/s^2 for the double boundary situation. We argue that such a distinctive feature in QSLT can be a fruitful tool to diagnose the Unruh effect.
ER -