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PreprintCC BY 4.0arXiv

A General Master Equation for Two Accelerated Detectors: Stationary States and Entanglement

Abstract

We derive a general Gorini-Kossakowski-Lindblad-Sudarshan master equation for two co-located, uniformly accelerated two-level detectors weakly coupled to scalar fields in the Minkowski vacuum, retaining coherent and dissipative contributions for arbitrary orientations, field masses, and spacetime dimensions. For equal orientations, we determine stationary states and their entanglement for two couplings to massless fields in four dimensions: symmetric coupling yields acceleration-dependent concurrence, whereas rotating-wave coupling gives acceleration-independent concurrence.

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BibTeX
@misc{acquaviva2026general,
  title = {{A General Master Equation for Two Accelerated Detectors: Stationary States and Entanglement}},
  author = {Riccardo Acquaviva and Paolo Facchi},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.26753},
  eprint = {2610.26753},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.26753},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - A General Master Equation for Two Accelerated Detectors: Stationary States and Entanglement
AU  - Riccardo Acquaviva
AU  - Paolo Facchi
PY  - 2026
DA  - 2026/10/19
PB  - arXiv
DO  - 10.48550/arxiv.2610.26753
UR  - https://arxiv.org/abs/2610.26753
AB  - We derive a general Gorini-Kossakowski-Lindblad-Sudarshan master equation for two co-located, uniformly accelerated two-level detectors weakly coupled to scalar fields in the Minkowski vacuum, retaining coherent and dissipative contributions for arbitrary orientations, field masses, and spacetime dimensions. For equal orientations, we determine stationary states and their entanglement for two couplings to massless fields in four dimensions: symmetric coupling yields acceleration-dependent concurrence, whereas rotating-wave coupling gives acceleration-independent concurrence.
ER  -