English

Lindblad dynamics in holography

High Energy Physics - Theory 2025-08-01 v2 Statistical Mechanics Quantum Physics

Abstract

We develop, in the AdS/CFT correspondence, a method to compute correlation functions when the CFT is governed by the Lindblad equation for open quantum systems, via the AdS theory. Using a simple example in AdS3_3/CFT2_2, we demonstrate that the predictions of the AdS theory based on our method match the direct computations in the dual CFT. We also briefly discuss the relaxation problem and the holographic entropy in this example.

Keywords

Cite

@article{arxiv.2504.17320,
  title  = {Lindblad dynamics in holography},
  author = {Takanori Ishii and Daichi Takeda},
  journal= {arXiv preprint arXiv:2504.17320},
  year   = {2025}
}

Comments

10 pages (4+6), 4 figures, comments and appendix on relaxation and entropy added

R2 v1 2026-06-28T23:09:30.812Z