Infinitely dimensional Lax structure for one-dimensional Hubbard model
Mathematical Physics
2015-04-28 v2 Statistical Mechanics
Strongly Correlated Electrons
math.MP
Exactly Solvable and Integrable Systems
Abstract
We report a two-parametric irreducible infinitely dimensional representation of the Lax integrability condition for the fermi Hubbard chain. Besides being of fundamental interest, hinting on possible novel quantum symmetry of the model, our construction allows for an explicit representation of an exact steady state many-body density operator for non-equilibrium boundary-driven Hubbard chain with arbitrary (asymmetric) particle source/sink rates at the letf/right end of the chain and with arbitrary boundary values of chemical potentials.
Keywords
Cite
@article{arxiv.1501.02230,
title = {Infinitely dimensional Lax structure for one-dimensional Hubbard model},
author = {Vladislav Popkov and Tomaz Prosen},
journal= {arXiv preprint arXiv:1501.02230},
year = {2015}
}
Comments
5 pages in RevTex, 1 figure, version as accepted by Phys. Rev. Lett