English

Exact local correlations in kicked chains at light cone edges

Statistical Mechanics 2020-11-18 v2 Mathematical Physics math.MP Chaotic Dynamics

Abstract

We show that local correlators in a wide class of kicked chains can be calculated exactly at light cone edges. Extending previous works on dual-unitary systems, the correlators between local operators are expressed through the expectation values of transfer matrices TT with small dimensions. Contrary to the previous studies, our results are not restricted to dual-unitary systems with spatial-temporal symmetry of the dynamics. They hold for a generic case without fine tuning of model parameters. The results are exemplified on the kicked Ising spin chain model, where we provide an explicit formula for two-point correlators near light cone edges beyond the dual-unitary regime.

Keywords

Cite

@article{arxiv.2004.08386,
  title  = {Exact local correlations in kicked chains at light cone edges},
  author = {Boris Gutkin and Petr Braun and Maram Akila and Daniel Waltner and Thomas Guhr},
  journal= {arXiv preprint arXiv:2004.08386},
  year   = {2020}
}

Comments

11 pages, 4 figures. arXiv admin note: substantial text overlap with arXiv:2001.01298

R2 v1 2026-06-23T14:55:38.446Z