English

Dissipation- versus Chaos-Induced Relaxation in Non-Markovian Quantum Many-Body Systems

Statistical Mechanics 2026-03-12 v1 Disordered Systems and Neural Networks Strongly Correlated Electrons Quantum Physics

Abstract

In interacting quantum many-body systems, relaxation toward equilibrium reflects a competition between internal chaotic dynamics and environmental dissipation. While conventional Markovian baths typically produce exponential decay, non-Markovian dissipation can give rise to more intricate behavior, including algebraic relaxation. We study an open Sachdev-Ye-Kitaev (SYK) model coupled to a pseudogapped fermionic bath, using the Keldysh formalism to compute steady-state correlations in the large-NN limit. Our results uncover a rich dynamical phase diagram, with regimes of bath-driven power-law relaxation, chaos-driven exponential decay, and an intermediate pre-relaxation phase where exponential decay crosses over to algebraic decay. These findings demonstrate that non-Markovian environments can qualitatively reshape relaxation mechanisms in strongly correlated quantum many-body systems.

Keywords

Cite

@article{arxiv.2603.10815,
  title  = {Dissipation- versus Chaos-Induced Relaxation in Non-Markovian Quantum Many-Body Systems},
  author = {Gabriel Almeida and Pedro Ribeiro and Masudul Haque and Lucas Sá},
  journal= {arXiv preprint arXiv:2603.10815},
  year   = {2026}
}

Comments

12 pages, 7 figures