English

A non-perturbative analysis of spin-boson interactions using the Weyl relations

Quantum Physics 2020-02-07 v1 Mathematical Physics math.MP

Abstract

We perform a non-perturbative analysis of the dynamics of a two-level quantum system subjected to repeated interactions with a bosonic environment when these interactions are intense and localized in time. We use the Weyl relations to obtain a closed expression for the resulting state of the spin despite the non-perturbative nature of the problem. Furthermore, we study divisibility and memory effects in the dynamics and draw conclusions about the role that the quantum-mechanical features of the environment play on the dynamics of the two-level system.

Keywords

Cite

@article{arxiv.2002.01994,
  title  = {A non-perturbative analysis of spin-boson interactions using the Weyl relations},
  author = {José de Ramón and Eduardo Martin-Martinez},
  journal= {arXiv preprint arXiv:2002.01994},
  year   = {2020}
}

Comments

20 pages ~2 pages of Appendices. RevTeX 4.1

R2 v1 2026-06-23T13:32:25.444Z