English

Quantum dynamics far from equilibrium: a case study in the spherical model

High Energy Physics - Theory 2023-03-06 v1 Statistical Mechanics Mathematical Physics math.MP Quantum Physics

Abstract

The application of quantum Langevin equations for the study of non-equilibrium relaxations is illustrated in the exactly solved quantum spherical model. Tutorial sections on the physical background of non-markovian quantum noise, the spherical model quantum phase transition, the long-time limit of the quantum Langevin equation of the spherical model and physical ageing are followed by a brief review of the solution of the non-markovian time-dependent spherical constraint and about the consequences for quantum ageing at zero temperature, after a quantum quench.

Keywords

Cite

@article{arxiv.2201.06448,
  title  = {Quantum dynamics far from equilibrium: a case study in the spherical model},
  author = {Malte Henkel},
  journal= {arXiv preprint arXiv:2201.06448},
  year   = {2023}
}

Comments

1+17 pp, 6 figures. Conference proceedings of LT-14, based on arXiv:1809.08975 and arXiv:2106.08237

R2 v1 2026-06-24T08:52:27.298Z