Entanglement renormalization and wavelets
Strongly Correlated Electrons
2016-04-13 v2 Quantum Physics
Abstract
We establish a precise connection between discrete wavelet transforms (WTs) and entanglement renormalization (ER), a real-space renormalization group transformation for quantum systems on the lattice, in the context of free particle systems. Specifically, we employ Daubechies wavelets to build approximations to the ground state of the critical Ising model, then demonstrate that these states correspond to instances of the multi-scale entanglement renormalization ansatz (MERA), producing the first known analytic MERA for critical systems.
Cite
@article{arxiv.1602.01166,
title = {Entanglement renormalization and wavelets},
author = {Glen Evenbly and Steven R. White},
journal= {arXiv preprint arXiv:1602.01166},
year = {2016}
}
Comments
Main text: 5 pages, 2 figures. Appendices: 5 pages, 5 figures. Revised version with minor corrections