Quantum quench of the Sachdev-Ye-Kitaev Model
Strongly Correlated Electrons
2017-11-22 v2 High Energy Physics - Theory
Abstract
We describe the non-equilibrium dynamics of the Sachdev-Ye-Kitaev models of fermions with all-to-all interactions. These provide tractable models of the dynamics of quantum systems without quasiparticle excitations. The Kadanoff-Baym equations show that the final state is thermal, and their numerical analysis appears consistent with a thermalization rate proportional to the absolute temperature of the final state. We also obtain an exact analytic solution of the non-equilibrium dynamics in the large limit of a model with fermion interactions: in this limit, the thermalization of the fermion Green's function is instantaneous.
Keywords
Cite
@article{arxiv.1706.07803,
title = {Quantum quench of the Sachdev-Ye-Kitaev Model},
author = {Andreas Eberlein and Valentin Kasper and Subir Sachdev and Julia Steinberg},
journal= {arXiv preprint arXiv:1706.07803},
year = {2017}
}
Comments
35 pages, 9 figures; (v2) added clarifications and refs