Continuum limits of Matrix Product States
Quantum Physics
2018-12-03 v2 Strongly Correlated Electrons
Abstract
We determine which translationally invariant matrix product states have a continuum limit, that is, which can be considered as discretized versions of states defined in the continuum. To do this, we analyse a fine-graining renormalization procedure in real space, characterise the set of limiting states of its flow, and find that it strictly contains the set of continuous matrix product states. We also analyse which states have a continuum limit after a finite number of a coarse-graining renormalization steps. We give several examples of states with and without the different kinds of continuum limits.
Cite
@article{arxiv.1708.00880,
title = {Continuum limits of Matrix Product States},
author = {Gemma De las Cuevas and Norbert Schuch and David Perez-Garcia and J. Ignacio Cirac},
journal= {arXiv preprint arXiv:1708.00880},
year = {2018}
}
Comments
7 pages, 2 figures. New version: somewhat expanded, some explanations added. Close to published version