English

Quantum regression beyond the Born-Markov approximation for generalized spin-boson models

Quantum Physics 2022-06-13 v2

Abstract

The quantum regression formula for an open quantum system consists in an infinite hierarchy of conditions for its multi-time correlation functions, thus requiring full access to the total "system+environment" evolution, and providing a stronger requirement than CP-divisibility. Here, we analyze CP-divisibility and check the validity of quantum regression beyond the Born-Markov approximation (e.g. weak coupling limit) for a class of generalized spin-boson (GSB) models giving rise to a multi-level amplitude-damping evolution; in all cases, it is possible to engineer the system-bath coupling in such a way that quantum regression is exactly satisfied.

Keywords

Cite

@article{arxiv.2201.12326,
  title  = {Quantum regression beyond the Born-Markov approximation for generalized spin-boson models},
  author = {Davide Lonigro and Dariusz Chruściński},
  journal= {arXiv preprint arXiv:2201.12326},
  year   = {2022}
}

Comments

9 pages; to appear in Phys. Rev. A

R2 v1 2026-06-24T09:07:56.478Z