Emergence of generalized hydrodynamics in the non-local Luttinger model
Abstract
We propose the Luttinger model with finite-range interactions as a simple tractable example in 1+1 dimensions to analytically study the emergence of Euler-scale hydrodynamics in a quantum many-body system. This non-local Luttinger model is an exactly solvable quantum field theory somewhere between conformal and Bethe-ansatz integrable models. Applying the recent proposal of generalized hydrodynamics, we show that the model allows for fully explicit yet non-trivial solutions of the resulting Euler-scale hydrodynamic equations. Comparing with exact analytical non-equilibrium results valid at all time and length scales, we show perfect agreement at the Euler scale when the interactions are short range. A formal proof of the emergence of generalized hydrodynamics in the non-local Luttinger model is also given, and effects of long-range interactions are briefly discussed.
Keywords
Cite
@article{arxiv.2003.10993,
title = {Emergence of generalized hydrodynamics in the non-local Luttinger model},
author = {Per Moosavi},
journal= {arXiv preprint arXiv:2003.10993},
year = {2020}
}
Comments
16 pages, LaTeX; minor updates; typos corrected; final published version