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PreprintarXiv licencearXiv

Lindblad equation for the quantum Rabi model in the deep strong coupling regime

Abstract

We derive a quantum master equation in Lindblad form for the open quantum Rabi model in the perturbative deep strong coupling regime, where the spectrum is close to degenerate and harmonic. The Lindblad form is obtained by combining secular and singular-coupling approximations, working in a Schrieffer-Wolff transformed frame. We benchmark our equation against a Bloch-Redfield one, analyzing the time-evolution and steady state properties of several observables and find excellent agreement. Analytical results are obtained in limiting cases.

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BibTeX
@misc{holst2026lindblad,
  title = {{Lindblad equation for the quantum Rabi model in the deep strong coupling regime}},
  author = {Daniel Holst and Patrick Potts and Peter Samuelsson},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.06417},
  eprint = {2610.06417},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.06417},
}
RIS
TY  - UNPB
TI  - Lindblad equation for the quantum Rabi model in the deep strong coupling regime
AU  - Daniel Holst
AU  - Patrick Potts
AU  - Peter Samuelsson
PY  - 2026
DA  - 2026/10/05
PB  - arXiv
DO  - 10.48550/arxiv.2610.06417
UR  - https://arxiv.org/abs/2610.06417
AB  - We derive a quantum master equation in Lindblad form for the open quantum Rabi model in the perturbative deep strong coupling regime, where the spectrum is close to degenerate and harmonic. The Lindblad form is obtained by combining secular and singular-coupling approximations, working in a Schrieffer-Wolff transformed frame. We benchmark our equation against a Bloch-Redfield one, analyzing the time-evolution and steady state properties of several observables and find excellent agreement. Analytical results are obtained in limiting cases.
ER  -