A new class of completely integrable quantum spin chains
solv-int
2009-10-30 v1 Strongly Correlated Electrons
Exactly Solvable and Integrable Systems
Abstract
A large (infinitely-dimensional) class of completely integrable (possibly non-autonomous) spin chains is discovered associated to an infinite-dimensional Lie Algebra of infinite rank. The complete set of integrals of motion is constructed explicitly, as well as their eigenstates and spectra. As an example we outline kicked Ising model: Ising chain periodically kicked with transversal magnetic field.
Cite
@article{arxiv.solv-int/9711007,
title = {A new class of completely integrable quantum spin chains},
author = {Tomaz Prosen},
journal= {arXiv preprint arXiv:solv-int/9711007},
year = {2009}
}
Comments
4 pages in RevTex