Critical properties of homogeneous binary trees
Quantum Physics
2010-09-13 v2 Statistical Mechanics
Abstract
Many-body states whose wave-function admits a representation in terms of a uniform binary-tree tensor decomposition are shown to obey to power-law two-body correlations functions. Any such state can be associated with the ground state of a translational invariant Hamiltonian which, depending on the dimension of the systems sites, involve at most couplings between third-neighboring sites. A detailed analysis of their spectra shows that they admit an exponentially large ground space.
Cite
@article{arxiv.0912.0466,
title = {Critical properties of homogeneous binary trees},
author = {P. Silvi and V. Giovannetti and S. Montangero and M. Rizzi and J. I. Cirac and R. Fazio},
journal= {arXiv preprint arXiv:0912.0466},
year = {2010}
}
Comments
6 pages, 2 figures