Hydrodynamic non-linear response of interacting integrable systems
Abstract
We develop a formalism for computing the non-linear response of interacting integrable systems. Our results are asymptotically exact in the hydrodynamic limit where perturbing fields vary sufficiently slowly in space and time. We show that spatially resolved nonlinear response distinguishes interacting integrable systems from noninteracting ones, exemplifying this for the Lieb-Liniger gas. We give a prescription for computing finite-temperature Drude weights of arbitrary order, which is in excellent agreement with numerical evaluation of the third-order response of the XXZ spin chain. We identify intrinsically nonperturbative regimes of the nonlinear response of integrable systems.
Cite
@article{arxiv.2103.06899,
title = {Hydrodynamic non-linear response of interacting integrable systems},
author = {Michele Fava and Sounak Biswas and Sarang Gopalakrishnan and Romain Vasseur and S. A. Parameswaran},
journal= {arXiv preprint arXiv:2103.06899},
year = {2021}
}
Comments
8 pages, 3 figures + supplementary material (18 pages, 2 figures)