Matrix Product States: Symmetries and Two-Body Hamiltonians
Strongly Correlated Electrons
2009-06-04 v1 Quantum Physics
Abstract
We characterize the conditions under which a translationally invariant matrix product state (MPS) is invariant under local transformations. This allows us to relate the symmetry group of a given state to the symmetry group of a simple tensor. We exploit this result in order to prove and extend a version of the Lieb-Schultz-Mattis theorem, one of the basic results in many-body physics, in the context of MPS. We illustrate the results with an exhaustive search of SU(2)--invariant two-body Hamiltonians which have such MPS as exact ground states or excitations.
Keywords
Cite
@article{arxiv.0901.2223,
title = {Matrix Product States: Symmetries and Two-Body Hamiltonians},
author = {M. Sanz and M. M. Wolf and D. Perez-Garcia and J. I. Cirac},
journal= {arXiv preprint arXiv:0901.2223},
year = {2009}
}
Comments
PDFLatex, 12 pages and 6 figures