Abstract
We obtained an exact solution for a uniformly accelerated Unruh-DeWitt detector interacting with a massless scalar field in (3 + 1) dimensions which enables us to study the entire evolution of the total system, from the initial transient to late-time steady state. We find that the conventional transition probability of the detector from its initial ground state to excited states, as derived from time-dependent perturbation theory over an infinitely long duration of interaction, is valid only in the transient stage and is invalid for cases with proper acceleration smaller than the damping constant. We also found that, unlike in (1 + 1)D results, the (3 + 1)D uniformly accelerated Unruh- DeWitt detector in a steady state does emit a positive radiated power of quantum nature at late-times, but it is not connected to the thermal radiance experienced by the detector in the Unruh effect proper.
| Original language | English |
|---|---|
| Pages (from-to) | 480-490 |
| Number of pages | 11 |
| Journal | Foundations of Physics |
| Volume | 37 |
| Issue number | 4-5 |
| DOIs | |
| Publication status | Published - 2007 May 1 |
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All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)
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New insights into uniformly accelerated detector in a quantum field. / Lin, Shih Yuin; Hu, B. L.
In: Foundations of Physics, Vol. 37, No. 4-5, 01.05.2007, p. 480-490.Research output: Contribution to journal › Article
TY - JOUR
T1 - New insights into uniformly accelerated detector in a quantum field
AU - Lin, Shih Yuin
AU - Hu, B. L.
PY - 2007/5/1
Y1 - 2007/5/1
N2 - We obtained an exact solution for a uniformly accelerated Unruh-DeWitt detector interacting with a massless scalar field in (3 + 1) dimensions which enables us to study the entire evolution of the total system, from the initial transient to late-time steady state. We find that the conventional transition probability of the detector from its initial ground state to excited states, as derived from time-dependent perturbation theory over an infinitely long duration of interaction, is valid only in the transient stage and is invalid for cases with proper acceleration smaller than the damping constant. We also found that, unlike in (1 + 1)D results, the (3 + 1)D uniformly accelerated Unruh- DeWitt detector in a steady state does emit a positive radiated power of quantum nature at late-times, but it is not connected to the thermal radiance experienced by the detector in the Unruh effect proper.
AB - We obtained an exact solution for a uniformly accelerated Unruh-DeWitt detector interacting with a massless scalar field in (3 + 1) dimensions which enables us to study the entire evolution of the total system, from the initial transient to late-time steady state. We find that the conventional transition probability of the detector from its initial ground state to excited states, as derived from time-dependent perturbation theory over an infinitely long duration of interaction, is valid only in the transient stage and is invalid for cases with proper acceleration smaller than the damping constant. We also found that, unlike in (1 + 1)D results, the (3 + 1)D uniformly accelerated Unruh- DeWitt detector in a steady state does emit a positive radiated power of quantum nature at late-times, but it is not connected to the thermal radiance experienced by the detector in the Unruh effect proper.
UR - http://www.scopus.com/inward/record.url?scp=34249036777&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=34249036777&partnerID=8YFLogxK
U2 - 10.1007/s10701-007-9120-1
DO - 10.1007/s10701-007-9120-1
M3 - Article
AN - SCOPUS:34249036777
VL - 37
SP - 480
EP - 490
JO - Foundations of Physics
JF - Foundations of Physics
SN - 0015-9018
IS - 4-5
ER -