Toda chain flow in Krylov space
Statistical Mechanics
2020-08-26 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Quantum Physics
Abstract
We show in full generality that time-correlation function of a physical observable analytically continued to imaginary time is a tau-function of integrable Toda hierarchy. Using this relation we show that the singularity along the imaginary axis, which is a generic behavior for quantum non-integrable many-body system, is due to delocalization in Krylov space.
Cite
@article{arxiv.1912.12227,
title = {Toda chain flow in Krylov space},
author = {Anatoly Dymarsky and Alexander Gorsky},
journal= {arXiv preprint arXiv:1912.12227},
year = {2020}
}
Comments
8 pages