English

Yang-Baxter integrable Lindblad equations

Statistical Mechanics 2020-04-21 v1 Quantum Physics

Abstract

We consider Lindblad equations for one dimensional fermionic models and quantum spin chains. By employing a (graded) super-operator formalism we identify a number of Lindblad equations than can be mapped onto non-Hermitian interacting Yang-Baxter integrable models. Employing Bethe Ansatz techniques we show that the late-time dynamics of some of these models is diffusive.

Keywords

Cite

@article{arxiv.1911.04883,
  title  = {Yang-Baxter integrable Lindblad equations},
  author = {Aleksandra A. Ziolkowska and Fabian H. L. Essler},
  journal= {arXiv preprint arXiv:1911.04883},
  year   = {2020}
}

Comments

26 pages, Submission to SciPost

R2 v1 2026-06-23T12:13:02.586Z